diff --git "a/data/dm_maths/full_data_2/1987_11255.jsonl" "b/data/dm_maths/full_data_2/1987_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1987_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: -5940*6\nAnswer: -35640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65976697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4\/3 - 2475073*z**3\/3 - 4950157*z**2 - 7425247*z\/3 + 24750790\/3 = 0 for z.\nAnswer: -5, -2, 1, 2475079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -28 in increasing order.\nAnswer: -28, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 20 = -a. Suppose 5*f + i - 1044 = -45, 0 = -a*f - i + 800. Let s = -97 + f. Is 24 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16926)\/1860*22\/154.\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 16 = -0*u. Let y = 1007 - 1007. Solve -5*f - 2*d + u = y, 4*f + 0 + 4 = 2*d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 847242408 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10102012120102 (base 3) to base 12\nAnswer: 736355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 47 + 7 = 0. Calculate the lowest common multiple of (-39)\/(-1 - 2) - 3\/(-1) and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/626742 and 56\/6162963.\nAnswer: 36977778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/5 (b) -0.3 (c) 4 (d) 7 (e) -727\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41 + 5?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 4*y + m, 61 = y - 4*m + m. Suppose 0 = -3*w + y + 17. Solve w = -5*o + h, -2*o = -5*h - 4 - 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, -230, -208, -186, -164, -142?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(j + j - 4*j)*(-162*j**2 - 86*j**2 - 239*j**2).\nAnswer: -1948*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**2. Let c(m) = 96*m - 49. Calculate c(k(d)).\nAnswer: -384*d**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 440 = -d, -58*m + 3*d = -54*m - 876. Solve 0 = m*s - 218*s - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8635236*a*s - 4458115*s with respect to a.\nAnswer: -8635236*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8098 times 323.7?\nAnswer: 909.53226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-16900)\/(-6)*-50*16. What is f rounded to the nearest one hundred thousand?\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -299, -608, -925, -1250?\n\"Answer: -4*w**2 - 297*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3837, 12796, 26891, 46116, 70465, 99932, 134511?\nAnswer: 174196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s = 3*s + 3375. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 - 6. Let q(c) = -c**2 + 1. Let t be 4\/18 - 55\/45. Let s(i) = t*a(i) - 6*q(i). Let b(g) be the second derivative of g**4\/6 + g. Give s(b(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 816 and 675291.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 20*c**2 - 16. Let k(z) be the first derivative of z**2\/2 - 430. Give n(k(p)).\nAnswer: 20*p**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 3 (c) -2\/9 (d) -1.31 (e) 6\/23 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-4*((-6)\/33)\/(26220\/3135).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 31*h**2 - 3*h - 4. Let y(p) = -33*p**2 + 6*p + 5. Give 3*o(w) + 2*y(w).\nAnswer: 27*w**2 + 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 f, and 1 s when three letters picked without replacement from ssdykssvdvfkff.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 605130000 rounded to the nearest 1000000?\nAnswer: 605000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 76 = -3*d - 2*m, 5*d + 5*m = 160. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + 3*(sqrt(104) + -2*sqrt(104)) - (sqrt(104)*-1 - sqrt(104))*-3)\/((sqrt(1152) - (sqrt(1152) - 2*sqrt(1152)))\/sqrt(4)))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*c - 12 = 148*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 11:34 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 544*t**2. Let u(a) = -a**2. Determine u(z(w)).\nAnswer: -295936*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 209174675?\nAnswer: 2\/209174675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -31 * -3647\nAnswer: 113057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -60. Solve 0 = -5*k - 8*q + 3*q + h, 5*k + 2*q = 27 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 u, 1 m, and 1 w when four letters picked without replacement from {i: 1, g: 2, m: 2, o: 1, u: 1, w: 8}?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.775 + -16.7. Let u = t + -6.1526. Let q = -2.9 + u. What is q rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 72346 = -13*n - 1464700, 2*n + 14 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, -2\/5, -2\/7, -0.5 in descending order.\nAnswer: -2\/7, -0.3, -2\/5, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2912700 is divided by 153280?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-49)\/14 + 5 - (5 - 810\/220). Which is the closest to y? (a) 0 (b) -3 (c) -4\/5 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 2\/11, 4\/5, -4.7651?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -3*j + 1\/150*j**6 + 0*j**3 + 0 - 1\/60*j**4 - 1\/100*j**5 + 0*j**2 + 1\/210*j**7. Determine k, given that p(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 3*r + 4. Calculate k(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 299 + -4487\/15. Let u = -67 + 403\/6. Let i = 1\/12 + u. Which is the closest to 3? (a) i (b) n (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1\/33, -0.3, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52190, -209130, -470696, -836888?\nAnswer: -1307706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.2 plus -248074819?\nAnswer: -248074685.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20966 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v - 4*v + 204*v**3 - 5*v - 10*v**2.\nAnswer: 204*v**3 - 10*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*k**4 - 552*k**3 - 58695*k**2?\nAnswer: 552*k - 3312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 a when three letters picked without replacement from alllallllla.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -28*z. Let f(w) = 4505712*w. What is r(f(m))?\nAnswer: -126159936*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/4 + (-7 - -2) + -48 - (-2 - -6).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 - 178. Round t to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001932683206 to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556 + 1768 = -57*i - 44*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 3d319d?\nAnswer: -3d319c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 10 + m**2 - 10 as i*m**2 + x + s*m and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2115 = 400. Let y be 7\/(-2)*(-980)\/o. Solve -z - y = -6*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 + 2*p + 21. Give x(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*x - 37*x. Suppose -b - 16 = -a - 3*a, -3*b + 2*a - 8 = x. Suppose b = -2*h + 8, 0*j + 2*j - 3*h = 0. Solve -3*n = -j + 18, 5*f - 2*n = 23 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b9 (base 15) to base 11\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + 0.7. Suppose 10*o + 22 = -18. What is the closest to d in -2\/5, 4, o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**3\/3 + 7*h**2\/2 - 6*h + 37. Determine s(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283474, 283472, 283468, 283462, 283454?\nAnswer: 283444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-20))\/(22\/22).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795071?\nAnswer: 795071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 115279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*b = 25. Suppose b*u - 4780 = -2*p - 1208, -3*u - 2*p = -2144. Suppose -429 + 148 = -2*d + 5*m, 5*d - m - u = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**2 - 3*i**2 + 2*i**2 + (-2*i + 5*i + 2*i)*(4*i + 6 - 6))*(-4*i**2 - i**2 + 3*i**2) in the form l + g*i**3 + b*i + y*i**2 + s*i**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 25, 3*o + 221 = 2*q - 2*o. Suppose 2*d - 3*m + 8*m - 210 = 0, m = d - q. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3, 20, 51, 102, 179, 288, 435, 626?\n\"Answer: d**3 + d**2 + 7*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/7 (b) -4300 (c) -0.137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5.04, 1\/1014, 0?\nAnswer: 5.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v + 6. Let k be h(-9). Let a = k + 53. What is the units digit of 6\/14 - ((-4014)\/a)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*z = -497 - 896 + 187 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovviiviovliobvv. What is prob of sequence bvl?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19704 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 75 = 4*x. Suppose 2 = 3*a + 3*j - 19, 3*a = -5*j + 19. Suppose 2*v + 4 = -3*i + 10, -4*i + v = -a. What is the highest common factor of x and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 5*a**2 + 5*a - 5. Let c be h(5). Suppose 0*l - c = -5*l. Solve -7 = -v + 2*s, 2*v - 2*s = -l*s - 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47449 - 32*s + 220*s + 47449.\nAnswer: 188*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -27. Let m(r) be the first derivative of k - 3\/4*r**4 + 0*r**2 - 1\/3*r**3 + 0*r. What is the third derivative of m(z) wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)\/g**4)\/(g**(3\/11)\/g**(1\/16)) assuming g is positive.\nAnswer: g**(-1797\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvov when four letters picked without replacement from {v: 4, j: 5, x: 2, d: 1, o: 2}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 g when three letters picked without replacement from {g: 3, e: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-260 + 248 + (1 - (0 + -5)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/3 - (-173)\/(-519)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70908096 and 5439.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-574*(-2)\/(-56))\/((-3)\/(-6))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -923 (base 11) to base 14\nAnswer: -598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532085143 is divided by 1185.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1\/5*5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.292288 + -0.2924. What is f rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17162 is divided by 116.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22020737 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 + 0.02000132. What is b rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6604 is divided by 403?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 3*y**3 + 14 + 2*y**2 - 18*y**3 in the form o*y + v*y**3 + j + g*y**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 114*m - 4906. Determine p(43).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 108*u - 50*u = 63*u - 24, -60 = -5*z + 3*u for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 3) to base 2\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (32\/12 + -3)*-6. Suppose -3*i + v - y = 0, v = 4*i + i. Let k = -0.3 - -0.1. Which is the closest to i? (a) 0 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*c**2 - 1261*c + 18*c**2 - 1257*c + 2518*c.\nAnswer: -103*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**2 + 2*w**2 + 8*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 5:29 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.37491 times 0.5\nAnswer: -0.687455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -670.\nAnswer: -1\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -8. Suppose -4*r = -3*t - 6, -r - 4*t = 15 - 7. Suppose r = -3*v + u + 14, -2*v + u + 8 = -1. Solve 3*x = -v*j - z - 33, 45 = -5*x - 5*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -900 - -281. Let u = 887 + q. List the prime factors of u.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 - (-27 - ((-27 - 9) + -27)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31, -28, -23, -16, -7?\n\"Answer: o**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-284)\/(-8) + 5 + (15\/18 - 590\/177).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -2 - (4 - 0). Let z = 18.3 - 14.3. What is the smallest value in 3, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -343 + 353 + (1 - 1 - -31).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) 16\/17 (c) -27428\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -775917*u**2 + 766841*u wrt u.\nAnswer: -1551834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 28*f - f**2 + 37*f - 6 - 75*f. Calculate the lowest common multiple of b(-9) and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1132 by -6.\nAnswer: -566\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.123039818 to four dps.\nAnswer: 0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + (51 - 47) + -13?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*w - 210 = -39 + 165. Let j be (-6)\/(-4)*(-8)\/(-3). Suppose -j*q - 32 = -4*g + 16, 5*q = 3*g - 42. What is the least common multiple of w and g?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 15330195.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1056 and 484?\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 477*i**2 + 716*i - 20. List the prime factors of l(-7).\nAnswer: 18341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005800 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 24*f**2. Let i(u) = 90237*u. Determine i(n(g)).\nAnswer: 2165688*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 4. Let m be (-672)\/462 + (-12)\/22. Let y(j) = -j**2 - j + 5. Determine m*y(q) - 3*t(q).\nAnswer: 2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*h - 44 + 5 = 0, 4*h = 5*l - 110. Let f(p) = -p**2 - 15*p - 1. Calculate the remainder when f(-12) is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 855 = 679. Let t(b) = -2*b - 38. Determine t(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 560 = -18*f. Suppose -6*l = f - 100. Solve 23*h - l = 27*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**5\/60 + x**4\/24 + x**3\/3 - 3*x**2. What is l in f(l) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -119, 4, -10.\nAnswer: -119, -10, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1112 (base 5) to base 16\nAnswer: -9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -215.9 - -113.2. Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396010313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(-3*sqrt(294)) - ((-1*sqrt(24))\/sqrt(8) + -1 + sqrt(3)*2).\nAnswer: -22*sqrt(3)\/21 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.052 - 0.0519989. Round p to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.66136 micrometers to millimeters.\nAnswer: 0.06366136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 190*n - 189*n + 3*r - 4607, -6*n - r + 27676 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1165 - -1435. Calculate the remainder when u is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 18 = -6*s. Let f = -38 + 68. Let m = f - s. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - -13 - (-78 + 96)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 153 = -7*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 1. Let a(f) = -11*f - 9. Let x(r) = -a(r) - 6*b(r). Let u be 2\/(-4) - (-18)\/(-12) - 1. What is x(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minus -0.1044258438?\nAnswer: 302.1044258438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 - g + 425. What is the units digit of o(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.8 less than -13?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84221?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x = 32*x + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*q + 2 = -2*q, 4*q + 12 = -2*t. Let l = -9 - -3. Let d be l\/(-15) + -2*1. Which is smaller: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -829, -814, -799, -784, -769, -754?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u. Let c(r) = 22*r - 3*r**2 - 22*r. Give o(c(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -289 + 293. Which is the second biggest value? (a) -21\/5 (b) -6 (c) 3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 11:05 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0374029 less than -500?\nAnswer: -500.0374029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 75.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(3*(-2)\/8). Let l be 1\/1 - (-8)\/t. Which is the nearest to 0? (a) l (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17152, -34360, -51624, -68944, -86320, -103752?\n\"Answer: -28*w**2 - 17124*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 91239 divided by -548\nAnswer: -91239\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3818.4 rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(304) + 1.\nAnswer: -3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 322*z + 561*z - 303*z to the form t*z + w and give t.\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -23. Let h be (2 - -3) + 5\/(-10)*10. Suppose 0 = 4*y + 5*d - 1, -b*y - 5*d = -h + 7. Solve 3 = n + y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12, 3, 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -7*l + 3*l + 1532, 2*w = 2*l - 762. Let h = -235 + l. Calculate the remainder when h is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46466 is divided by 1011.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 9, s: 2}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Suppose x*j + 2 = 8. Suppose -9 = s - j*y, 2*s - 3*s - 4*y = -12. Solve d + 2*n = s, 0 = 5*n - 3 - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -13272*z - 26541. Give d(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-402)\/(-42) - 4 - 20\/35. Solve 2*f + 11 = s*t, -3*f - 3 = -4*t + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 16 + 63*x**3 - 32*x**3 + 27*x + 12*x**2 - 32*x**3. Give w(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 0.3 (c) -2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 140*o + 71?\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -1.81, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*o - 15*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, -4, -12.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - i + 1. Let y = -116 + 112. Let v(g) be the first derivative of -g**4\/4 + 2*g**3 + 2*g**2 - 6*g - 280. Give y*z(n) - v(n).\nAnswer: n**3 - 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-112)\/(-116) + -1). Let y = 29 + 17. Let n = y + s. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246078 is divided by 123025.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2436 and 4301367?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 123, 211, 339, 513, 739, 1023, 1371?\nAnswer: 1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64846702 times 3?\nAnswer: 194540106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 2210 = z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/320 and -51\/128?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*2*(-3 + -2*sqrt(1331) + 0))**2.\nAnswer: 2112*sqrt(11) + 85323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 4*i**2 - 2*i + 2. Let k = -12 - -16. Determine g(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 2:15 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21\/18 + 3\/(-18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 10*t**2 + 10*t + 14. Let w be l(11). Solve w*f - 8 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-6*(sqrt(78) + -2*sqrt(78) + sqrt(78) + sqrt(78)))\/(sqrt(540)\/sqrt(10)) + 0)**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2034*i + 1. Let h(p) = -6*p. Calculate -h(d) + x(d).\nAnswer: -2028*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3014*d = 3800*d - 3930 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/14 - 21\/6. Put -1, -5, w in descending order.\nAnswer: -1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.4 - -6. Let w be 24\/168 - 8\/7. Put 0, w, a in descending order.\nAnswer: 0, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 81?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1286683*o**5 - 21301*o**2 - 66*o wrt o?\nAnswer: -77200980*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 9:02 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 79 and 2.780542.\nAnswer: 81.780542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1984519733?\nAnswer: 7, 19, 14921201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 229*w**4\/4 - 3*w**2\/2 + 24*w + 414. What is the second derivative of x(f) wrt f?\nAnswer: 1374*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97.23 + -10.43. Let f = -87 + a. Sort -9, -5, 2\/3, f in ascending order.\nAnswer: -9, -5, f, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 203743*w**2 + 332570*w**2 - 128828*w**2 - 1.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - -101001010111?\nAnswer: 101001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/1310 and 37\/192570?\nAnswer: 192570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 4*h - 46, 26*h = -f + 6 + 88 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 5*y**2 - 5*y - 1. Determine a(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-18))\/((-2)\/(-9)). Which is the closest to 3\/5? (a) 4 (b) w (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.2 (b) -3 (c) -13 (d) -2084 (e) -0.9 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-2)*(-1)\/(-4). Let w be (-2)\/(-50)*(-165)\/2673. Is t less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + r + 1. Let i = -110 + 109. Let b(c) = 5*c + 5. Give i*b(a) + 5*n(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 11:15 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 15*p**4\/4 - 2*p**3\/3 - 618*p + 444. What is the derivative of y(u) wrt u?\nAnswer: 45*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 4. Let j be b(6). Let i be 18\/6 + 0\/j. What is the third smallest value in 0.5, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16597?\nAnswer: 7, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*j + 227 + 277, 0 = 4*j - 5*t + 675. Is -163 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q = -m - 7, 4*m = 3*q + 21. Solve -5*l + 30 = 5*s - m*l, 4*s - 3*l = 31 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f + 8 = 0. Let x = 39 + f. Let w = 28 - 11. Calculate the remainder when x is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2633186 less than 6?\nAnswer: 2633192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3531937?\nAnswer: 17, 373, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 + 639. What are the prime factors of u(0)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 9:09 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/2 of a centimeter?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 194?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 + 3*d - 48. Let q(u) = 22*u**2 + 16*u - 240. Give -16*j(h) + 3*q(h).\nAnswer: 2*h**2 + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 11295464 and 11295466 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p. Let r(l) = -2*l + 201. What is x(r(g))?\nAnswer: 4*g - 402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 2)*(-1 + 0). Let b = x + -1. Let m(i) = 33*i - 62. Let z be m(2). Sort b, 1, z in decreasing order.\nAnswer: z, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -744 - 6*o**2 - 543*o + 744.\nAnswer: -6*o**2 - 543*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.790515 decades?\nAnswer: 7.90515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249893.9 litres in millilitres?\nAnswer: 249893900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141 + -136. Let l = 16 - 11. Let s = -16\/3 + l. Which is the third biggest value? (a) 0.3 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or 0.54?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - h + 10, 4*h = v + 2*h - 13. Let j = 0 - -3. Is j > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84564 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1300 (base 5) to base 16\nAnswer: -c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9718 + 2437*q - 9718)*(-2*q + q + 3*q).\nAnswer: 4874*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ascm when four letters picked without replacement from {w: 1, a: 2, e: 1, s: 2, m: 2, c: 5}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-1 - 1 - (7 + -9). Suppose r = 7*j - 6*j + 53. Let h = j - -159. List the prime factors of h.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 7 + 3. Suppose j = 4*i + 6. Which is the third biggest value? (a) i (b) -0.1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -321*f**4 - 153?\nAnswer: -1284*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 270.968195 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2025*i**2 + 15*i + 14. Let h be w(-1). Let q = h + 2883. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -2035, 2\/17, 1\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**4 - 296*h**3 + 1387*h**2 - 2*h wrt h?\nAnswer: 24*h - 1776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 26 - ((-6)\/8)\/((-39)\/520)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424857989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*h + 28*h - 24*h + 3*w + 127, 0 = 4*h + w + 46 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1. Let m(y) = y**3 - y**2 + y - 4. Let p be m(0). Let z(l) = -l + 7. Let t(k) = p*h(k) + z(k). Find the first derivative of t(r) wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*c - 6 = 0, 5*l + 3*c - 5*c = 4. Let y = -521 + 523. Solve 8 = s + y*g, -4*s = g - 4 - l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.350909 millimeters in nanometers?\nAnswer: 1350909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 7*o**2 - 7*o - 1. Let y be k(-6). Let z = -56 - -68. Find the second derivative of 2*d**5 - z*d**5 + d + 5*d**y wrt d.\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-2*4\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.1. Let g = -1.1 + m. Suppose 6*d = 5*d + 2. Which is smaller: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 1 = z, -1734*z + 1733*z - 11 = -3*n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-30.01\nAnswer: -12.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(3*(-2)\/(-18)). Let b = f + -3. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73358 is divided by 280.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 770262 and 1155393.\nAnswer: 2310786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -963*z - 4540. Let i be w(-5). Calculate the greatest common divisor of 500 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 880414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**3 - 1055*y**2 + 22060*y + 48300 = 0. Calculate y.\nAnswer: -230, -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1259*l + l**2 + 0*l**2 + 1238*l - 73 - 2530*l to y + q*l + h*l**2 and give q.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 + 40.86. What is the second smallest value in -1\/3, -2\/7, q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h + 58. Let g be p(-27). Suppose 2*c - 13058 = 4*b, g*c + 2*b - 26136 = 5*b. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4 = 6. Let u(q) = -4*q**2 + 9*q**k - 3 + 2. What is u(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504604878?\nAnswer: 2, 3, 47, 251, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 14 (b) 0.1 (c) 43 (d) -1\/3 (e) 3649\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*m - 13 - 8, 6 = 5*q + 3*m. Let u be (2 - q - -1) + 6. Suppose l = u*l - 80. What is the remainder when 31 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 9*j**2 - 10*j**2)*(-j + 2*j + j) - 4*j**3 + 0*j**3 + 2*j**3 - 15*j**3 + 0*j**3 - 14*j**3.\nAnswer: -63*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**5 - 10*u**3 - u - 6. Let m(a) be the third derivative of a**4\/24 + a**3\/6 + 5*a**2. Let j(t) = k(t) + 6*m(t). Solve j(s) = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*o + 40700 = 128*o. What is o rounded to the nearest 1000?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 583 or 148985\/256?\nAnswer: 148985\/256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90\/11, -14, 43.\nAnswer: -14, 90\/11, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - w**2 - 2*w + 6. Suppose -5*l - i - 10 = i, -l = 5*i + 25. Let j be p(l). Solve j*d + 25 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**4 - 13703*r**3 - 220*r**2 + 28106760?\nAnswer: 8*r**3 - 41109*r**2 - 440*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, t: 3}. What is prob of picking 3 l?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/45 and -87\/8570.\nAnswer: 77130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.240263 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4746, 4931, 5238, 5667, 6218?\n\"Answer: 61*h**2 + 2*h + 4683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(13) + -1 + 5)**2.\nAnswer: 12*sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 + -59. Find the second derivative of 241*b + y - 266*b - 2 - 1 + 24*b**2 wrt b.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -148\/855 + 27\/95. Which is the closest to -2\/63? (a) 0.5 (b) k (c) 2 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.7 - -27.70000167. Round q to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4032738.\nAnswer: 2, 3, 224041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 48*p + 144.\nAnswer: 3*(p - 12)*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 5*j - 4. Let o be k(-3). Solve -4 + o = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**2 + 32*r + 3. Let m(g) = -11*g**2 + 96*g + 9. Let n(d) = 6*m(d) - 17*z(d). Let o be n(-16). Solve 0 = 4*x - t - 12 + o, 5*x - 5*t = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -3*h**8\/56 - 4*h**4\/3 - 18*h**2. What is the second derivative of y(k) wrt k?\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 10 - (747 - 747 - (-15 + -1))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1320*f*r*x + f*x**2*y - 11*f*y - 566*r*x**2*y - r*x**2 - 2*r*x*y + x**2 + y wrt f.\nAnswer: 1320*r*x + x**2*y - 11*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.029 * -12.\nAnswer: -0.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 3, -133, -3, 0.\nAnswer: -133, -7, -5, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3 = -5*j - 7, -2*j + 26 = 4*g. Suppose -4*w = f - 2, 2*w - f + j*f = -2. What is the common denominator of 35\/11 and (66\/(-36))\/(w + 21\/(-33))?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5 + 447*y**4 - 3957*y**3 + 6577*y**2 - 3066*y = 0.\nAnswer: 0, 1, 7, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2476 - 3.25. Let y = -0.0024 - n. Let d = 13\/34 - -2\/17. Which is the nearest to d? (a) y (b) 5\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 0.1, 0.11, -1\/10?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, o: 1, t: 4, u: 8, f: 3}. What is prob of picking 2 u and 1 f?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -421 (base 5) to base 10\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15494 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 31ab5 (base 13) to base 3\nAnswer: 11120001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 22 - (43 - 27).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -869.5 - -6.5. Let r = 862.999999548 + s. Round r to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 570*k + 4476. What is z(-8)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*f - 288 = -219*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 21*g + 134. What is l(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -10*v**2 + 6*v + 14. What is l(-3)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 11:43 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2 + 21*v - 3. Let n be l(5). Let p(f) = -f + 41. Let y(c) = -14. Let u(z) = n*p(z) + 7*y(z). Give u(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*m**3 - 8*m + 8*m)*(2*m - 7*m + 17*m) + 33 - 30*m**4 - 32 + 12*m**4 in the form b*m**2 + r + v*m**3 + j*m + y*m**4 and give y.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148.56 - -160.56. What is the nearest to 0.3 in -1, r, -3\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-65) + 5980\/338)*(-3)\/3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 5:18 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**21*(x*(x*x**(-3\/2))\/x*x)\/x**(-2\/13)*x**(-2\/11)*x**3*x\/(x**(5\/2)\/x*x)*x**(-1\/4) assuming x is positive.\nAnswer: x**(-11027\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1584612686 to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - -1 - (1 + 0). Let s = -2 - a. Suppose -10 - 29 = -39*i. Calculate the highest common factor of s and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 18, r: 2}. What is prob of sequence rrm?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 74*k - 13. Suppose u - 6*u + 2*v = -12, 4*u - 13 = 5*v. Does 5 divide r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84327636 or -84327637?\nAnswer: -84327637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5*r + 3*k, -3*k = r - 1 + 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67145 is divided by 490.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(9\/((-108)\/28)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/9)\/(14\/21).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -51399599.\nAnswer: 20559839.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8610?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.632458 rounded to three dps?\nAnswer: 1.632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175294 and 1008.\nAnswer: 12621168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*q**3 - 880*q**2 + 6*q**3 + 920*q**2 + 4*q**3.\nAnswer: 5*q**2*(5*q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**(-1))**17*(r**3*r)\/r*r*r*r\/(r*r**(1\/2)) assuming r is positive.\nAnswer: r**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 4*j = 12, -2*j + 280 = 3*h. Solve -2*n + z = 106 - h, n = 5*z - 32 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*o**3*w**2 - 41*f*o**2 - 2*f*o*w - 6*f*o - 79*f*w**2 + o**3 wrt w.\nAnswer: -4*f*o**3*w - 2*f*o - 158*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 14*n + 1. What is f(12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 13*m - 5. Let n be h(12). Let d be 1 + n + -1 + -3. What is the first derivative of -11*p**3 - 1 + 12 - d wrt p?\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0249 - -23.8751. Let x = v - 24. What is the third smallest value in 1, x, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s**2 - 3*s**2 + s**2 - 3*s - 30 - 26.\nAnswer: -16*s**2 - 3*s - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/264*-6)\/((-2)\/14)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/30)\/(2\/5)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1452810)\/(-33102) + (-78)\/2.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15ae (base 15) to base 16.\nAnswer: -1238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 77 + 54)*(-2*t - 3 + 2 + 2)*(-2*t**2 - 3*t**2 + 2*t**2).\nAnswer: 402*t**3 - 201*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 43.95. Which is the second biggest value? (a) -0.1 (b) 2 (c) 0.3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (-54 + 2)) + -41.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23143*i**3 - 12185*i**3 - 10947*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156747061, 313494124, 470241187, 626988250?\nAnswer: 783735313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/246 and -5\/738?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 11:07 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 55380496.7409 from 0.2.\nAnswer: -55380496.5409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 556 + -341. Suppose 4*n = c - 39. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -19*s**2 + 1\/12*s**4 + 0 + 7\/3*s**3 - 23*s. Differentiate q(j) with respect to j.\nAnswer: 2*j + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -349398, 12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 252398 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4213*h**3 + 2 + 4236*h**3 - 2.\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 33 = z, 0 = -q + 2*z - 3*z + 13. Suppose -5 = -w + q. What is the highest common divisor of w and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183\/4 - 1\/4*i**2 + 91\/2*i = 0. Calculate i.\nAnswer: -1, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.36? (a) -1\/4 (b) -3 (c) -15 (d) 1 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5 - 138*w**4 - 1234*w**3 - 3222*w**2 - 2124*w = 0 for w.\nAnswer: -59, -6, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41407 is divided by 35941.\nAnswer: 5466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 72 + -38 + 32 + -12.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 530 divide 605756922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**2 - 4*j**2 + 3*j**2)*(12*j + 10*j + 13*j)*(0 - 1 + 2 + 4 - 2 + 0 + 0 - 4 + 3 + (1 - 4 + 2)*(2 + 2 - 2) + 5 - 3 - 4).\nAnswer: -280*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*f**3 + 5070*f**2 - 5070*f**2.\nAnswer: 25*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1883.6 - -1884. What is the nearest to -10.1 in 3\/5, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.147 * 1.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**(-14)*l)\/l)*l\/(l**(1\/21)\/l*l))**(-33\/5) assuming l is positive.\nAnswer: l**(-737\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33*150*47\/51700.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 165.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -497169 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 38*o - 96. Let p(z) = 3*z**2 + 140*z - 2849. Let d be p(-62). What is h(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/48 and -22\/7503?\nAnswer: 120048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from axvxvtufu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**4 + 1409329*j**2 + 3*j + 50090515 wrt j?\nAnswer: -4*j**3 + 2818658*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2547799.\nAnswer: 491, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + s. Let k = -12 - -7. What is the least common multiple of 20 and d(k)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -2*x**5\/5 + x**4\/3 + x**3\/2 - x**2 - 12*x. Let l be y(-2). Let w = 27 - 19. Calculate the highest common factor of l and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607729494 to the power of 1\/4, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**13*d)\/d*d**7)\/(d**(-13)*d**5*d) assuming d is positive.\nAnswer: d**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 - 4*i**2 + 3*i + 4. Let a be v(2). Suppose 0 = 7*t - 59 - a. Suppose -t*u + 447 = -708. Does 35 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8565, 34321, 77267, 137403, 214729, 309245, 420951?\n\"Answer: 8595*j**2 - 29*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.32 + -50446075.972\nAnswer: -50446075.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 40. Suppose 3*n + l*n = -2*i - 581, -i - 387 = 2*n. Let t = n - -302. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2141\/345 - -28\/69. Let a be 13\/2*-1 - ((-455)\/26)\/(-35). Are c and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, 5, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - (2 + 4 - 530). Let x = a + -318. Calculate the remainder when x is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 divided by -453251?\nAnswer: 123\/453251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 5*q**2 + 13*q + 7. Let u be p(7). Sort u, -3, 2 in ascending order.\nAnswer: -3, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134 + -74. Calculate the remainder when o is divided by 24 + (-5 - 0) + 2\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 96*v**2 + 660*v + 1400.\nAnswer: 4*(v + 5)**2*(v + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 2*m**3 - 3*m + (2*m + 0*m - 4*m)*(-2*m**2 + 2*m**2 - 2*m**2) + 3*m**3 + 0*m**3 - 4*m**3 + (-5*m + 18 - 18)*(-4*m**2 + 6*m**2 - 4*m**2).\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -6) + (-1 - 1) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2, -3\/7, 325760, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128*b**3*n**2 + 62*b**3*n - 99*b**2*n**2 + 6*b**2 + 18*b wrt b?\nAnswer: 768*n**2 + 372*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141 + -140.61. Let l = -0.61 - t. Let a be (-1)\/(-6)*(-9)\/(-6). What is the biggest value in 3, a, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(-4*d + d + 7*d) - 2*d - 1 + 1.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 0 - 0)\/(-2). Let s(p) = p**3 - p + 5. What is s(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.79 + 11.99. Put 2\/3, -6, d, 0.46 in increasing order.\nAnswer: -6, d, 0.46, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*(1\/(-11))\/((-5)\/(495\/18)).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*p + i - 2 - 4 - 46, -40 = 3*p - i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y + 2*y)*(-5 - 5 + 2)*(470*y**4 - 239*y**4 - 272*y**4) - 2*y**5 + 3*y**5 - 3*y**5.\nAnswer: 326*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-8))\/((-1)\/(-142)). Let z = -38 + t. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.4. What is the closest to 0.1 in 3\/5, 1\/3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((2*sqrt(480) - sqrt(480)) + sqrt(480))\/sqrt(12) + -4*(sqrt(40) + sqrt(640) + sqrt(40)))\/(3*sqrt(1152)*1).\nAnswer: 11*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 2*u - 4, 0 = -2*g + u - 2 + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3606 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614*j**3 + 0*j**2 - 615*j**3 + 0*j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m - 4. Let g(b) = -b + 1. Let l be (-1)\/2 + ((-10)\/4 - -1). Let u(p) = p - 1. Let v(q) = l*u(q) - 5*g(q). Calculate -2*d(r) + 3*v(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/14)\/h)\/h)\/(h*h**38) assuming h is positive.\nAnswer: h**(-577\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1021*g*m*n**3 + 8*g*n**3 + 2*g - 105*n**2 wrt m?\nAnswer: -1021*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**2 - 2*f + 2. Let k = 11 + -13. Let a be j(k). What are the prime factors of (-4)\/a + 148\/5?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 2*u**2 + 3*u + 2. Let n be a(-2). Let y be (-1 + (n - -7))\/(-2). Let v(k) = -112*k + 3. Is 23 a factor of v(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/16)\/3)\/(((-4551)\/328)\/(-111)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 31314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p + 2. Let r be (-14)\/(5\/(5\/p)). Let k = 12 - r. Solve -k*c + 5*u = -35, -3*u - 3 = 4*c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-12)\/u**(-14\/5))\/(u*u*u*u**(-6)\/u)**(-3\/10) assuming u is positive.\nAnswer: u**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 445 + 65 = 0. Suppose 3*p + 32 - 173 = 0. Let q = z - p. What is the highest common factor of 22 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*h - 2*b = -8, 2*h + b + 6 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-12))\/((235\/116 + -2)*(-206)\/1854).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45273, 45736, 46201, 46668, 47137?\nAnswer: 47608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 42.9. Which is smaller: n or 17?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145575.18 nanoseconds to hours.\nAnswer: 0.00000004043755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from tgjggrgrttrg?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2450 = 5*b, -3*b + b - 8 = 0. What is the least common multiple of 729 and o?\nAnswer: 7290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1003, 1973, 2869, 3655, 4295, 4753?\nAnswer: 4993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1997027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**2 + 2564294*m = 0.\nAnswer: -1282147, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.24 + -3.24. What is the nearest to 0 in -2\/7, f, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0 = -6. Suppose -3*q = -4*p - 15 - 35, -q + 8 = v*p. Suppose -q = h - 24. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, -0.4, 7.3, 2\/13, 0.01, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 453854494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -116, -176, -226, -260, -272, -256, -206?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x - l - 6 = 0, -x - l = 0. Suppose 4*b + 2*v + 2*v - 28 = 0, -x*b = 4*v - 8. What is the remainder when b is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = m + 4*y + 8, -3*m - 3*y + 6 = 0. Suppose 0 = -12*o + m*o. Let a(k) = k**2 - 5. Calculate a(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ff8c (base 16) to base 6\nAnswer: 1222512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 at least -31078684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2012301 - 3?\nAnswer: 2012232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)*x*x**(-1))\/(x\/x**0)**(-1\/11)*((x\/(x**(-2\/11)*x))\/(x*x\/((x\/(x*(x\/x**(3\/5))\/x)*x)\/x)))\/(x**(1\/3)*(x*x**6)\/x) assuming x is positive.\nAnswer: x**(-3803\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 3*j**3 - 4*j**3)*(0 + 3*j + 0 - 242*j).\nAnswer: 478*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 13, c: 3}. Give prob of sequence rrcr.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) + -1) + (sqrt(833) + 0 - sqrt(17))**2.\nAnswer: sqrt(17) + 611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31433 - -416?\nAnswer: -31014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79 + 37 + 32 + 10 + 8911*a**2 to l*a + o*a**2 + y and give o.\nAnswer: 8911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.084 - 0.069. Let l = k + -0.069. Let v = l - -0.154. Which is the closest to 0.3? (a) -3\/8 (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6779*v**4 + 61956*v.\nAnswer: -81348*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 543098047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 867 = h + 337. Suppose d = -4*d + h. List the prime factors of (-7 - -1)\/(1\/(d\/(-4))).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -3, 1, -5 in decreasing order.\nAnswer: 17, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -23*b**8\/84 - 45*b**4\/8 + 70*b**2. What is the second derivative of m(l) wrt l?\nAnswer: -1840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -1 - (9 + (-4 - -4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u**2 - 2*u + 0*u**2 - u**2)*(-2*u + 0 + 3 - 2*u) in the form c*u**3 + k*u**2 + l + s*u and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 13*f**3\/3 + f**2\/2 - 5*f - 1. Let z be l(-4). Let y = 410 - z. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860297?\nAnswer: 860297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*m = 16 - 107, -u = 5*m - 35. Suppose 0*p + u = 5*p. Calculate the remainder when 15 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 4, q: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*o + 68 = 0, 15*o - 248 = -5*b + 17*o. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/6)\/((-66)\/114) - -5. Which is the biggest value? (a) d (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 m when four letters picked without replacement from mumccmcmummuea?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8822153 is divided by 134.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 41, -6.\nAnswer: -6, 0, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15232?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, o: 6}. Give prob of picking 3 o and 1 i.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 - 16*u**2 + 8*u + 51. Calculate i(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 118 = 5*j + 5*q, 3*j = 3*q + 66. Let k be (-38)\/j + -1 + 6. Solve 0 = -o + k - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.9 - -2.1. Let p be 1\/((-3)\/(-2)) + 414\/(-216). Which is the third smallest value? (a) p (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 times 1?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42*t**2 + 244 + 17 + 536 - 56*t**2 + 13*t**3 wrt t.\nAnswer: 39*t**2 - 28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 3\/23, -26\/37?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -7132\nAnswer: 1\/3566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 834316448 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 8106916?\nAnswer: 40534580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + q - 38 - 4, -2*z - 3*q + 22 = 0. Suppose z*g - 580 = 6676. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 3*c - 10. Let b be d(-6). Let u(k) = 4*k - 20. Let r be u(b). Let q = r + -85\/7. Sort 3\/7, q, 21 in increasing order.\nAnswer: q, 3\/7, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (8\/(-1))\/((-6)\/15) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*a = -139*a + 2272 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33541 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbo when three letters picked without replacement from {b: 1, o: 3, m: 6, c: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrvrrrrrrrrvr. What is prob of picking 3 r and 1 v?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 2*u**2 + u + 303. Let n(r) = 2*r**3 + 5*r**2 - 3*r - 605. Let o(w) = 9*i(w) + 4*n(w). What is the tens digit of o(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/15 - (10962\/30)\/(-1).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7415, 7416, 7417, 7418, 7419?\n\"Answer: h + 7414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 867922746 and 1962.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 19*i**2 + 17*i + 25. Let p be r(18). Suppose p*c - 13 = 64. Let n(s) = 19*s**2 + c*s**2 - 29*s**2. Let h(w) = 8*w**2. Determine n(h(x)).\nAnswer: 64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 2*d**2 - d - 3. Let i be y(3). Let m = -1216 + 1218. Suppose -19 = -m*f - i. Solve a + a = -f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*p = -309*p + 156*p + 40. Solve -p*m = -4*g - 229 + 209, -m = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 322480230?\nAnswer: -322480232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjmj when four letters picked without replacement from jmthtjhtttrtjjgj.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -212719252 or -212719253?\nAnswer: -212719252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*y**4 + 121*y**2 + 726*y - 1474472.\nAnswer: 16*y**3 + 242*y + 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/70*(-49)\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-26)*(-1066)\/(-164)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4433\/17924 or 1?\nAnswer: 4433\/17924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 355 = -195. Let t be (1 - 12\/10)*(-20)\/k. Which is greater: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1189\/12 - 99. Suppose -5*f + 2*g = -2, 6*f - 3*g = 4*f + 3. Is f bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 399 = -m. Suppose -k + m = -0*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*n**3 + n**4 + 6008 + 2*n - 6017 + 11*n**2 - 6*n**2 to j*n**2 + x*n**4 + q*n + w + u*n**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-9) + 10\/9. Let v = 1.69 + -0.29. Sort v, -1\/2, w in descending order.\nAnswer: v, w, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -18*(5 + -4)*1. Let v be 3\/18 + (-87)\/x. Suppose -236 + 16 = -v*l. Is l a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.12 + 3. Let v = 0.21 + y. Let t = -0.01 - v. What is the closest to t in 0.1, 4, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8223 + -8223.0367. What is the third biggest value in s, -5, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70652750 and 1575.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -2793b3?\nAnswer: -2793b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 289 = -27*j - 31*j, 15*y + 4*j - j = 14*y - 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -144, -199, -268, -351?\n\"Answer: -7*r**2 - 34*r - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2180954 + -0.148093. Let f = r + -0.07. Round f to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*a - 4. Let k be (-104)\/56 - (-2)\/(-14). Put a, k, 5 in descending order.\nAnswer: 5, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -5809, 589 in ascending order.\nAnswer: -5809, -2\/7, 589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 47*p**2 - 106*p + 28. Determine o(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1224, -4646, -10268, -18090, -28112, -40334?\nAnswer: -54756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 6 = -r + 5*v, -3*v = -r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/(-6))\/(12\/16). Is n\/8 - (-386)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101442 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/((-42)\/(-504))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25667730 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31014, 30978, 30918, 30834, 30726, 30594, 30438?\nAnswer: 30258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 16. Suppose s*k - 4 = 4*k. Find the common denominator of (705\/(-54))\/(-5) - k and 11\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 30 = -2*w. Calculate the highest common divisor of w and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 750 - 285 = 0. Let z = 91 - q. Which is smaller: z or -10\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8157 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 130*v + 105. Let b(o) = 20*o**2 + 2465*o + 1995. Let x(f) = 4*b(f) - 75*w(f). Factor x(t).\nAnswer: 5*(t + 1)*(t + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 148670 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -138105 divided by 81?\nAnswer: -1705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r + 16. Let o be h(-4). Let m be (-5)\/(2*o\/(-8)). Suppose m*q - 33 - 42 = 0. Is 15 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 25 - 9. Solve 0 = -3*j - 3*w - 24, j + 4 = u*w + 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -4\/3 (c) 2 (d) -2 (e) 120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwew when four letters picked without replacement from {w: 5, p: 1, e: 4}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 28. Let p be 2\/3 + 35\/(-21). Does 3 divide (p + w)*9\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446485 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4 - 46\/3*z + 46\/3*z**3 + 16\/3 - 22\/3*z**2 = 0.\nAnswer: -8, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331013230 (base 4) to base 2.\nAnswer: -111101000111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + 4*b**3 - 2*b**3)*(-2*b + b + 2*b) - 2*b**4 + 3*b**4 + 0*b**4 + (0 + 0 + 4*b**2)*(-3*b**2 + 4*b**2 - 4*b**2).\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 1\/6 (c) 5 (d) -1 (e) -8\/7 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3376.2 + 16.79587?\nAnswer: -3359.40413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/((-5)\/(-75)). Suppose 5*h = -2*t - 3, -5*h + 40 = y*t - 2*h. Let i = t - -1. Calculate the remainder when 47 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 6:05 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 125, 127?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 6:05 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**2 + 22*c + 2. Let m(x) = -7*x**2 - 26*x - 3. Let o(v) = 2*d(v) + 3*m(v). Let b be o(-3). Solve -b = -7*r + 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.333? (a) -2\/3 (b) 2\/7 (c) 1.4 (d) -0.4 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from jjkjdjkpjidkkjj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.27 - -15.6. Let o = -1.41 + l. What is o rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/10, 24\/11 in increasing order.\nAnswer: -4, 1\/10, 24\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057519213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*k - 30340 - 30487 = -62161 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/16898 and -44\/35.\nAnswer: 84490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-2))\/((-1)\/(21\/(-3276)*-26))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124458 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -589 not equal to 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 726 and 26499.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -131*g - 15 - 688*g**2 - 366*g**2 + 32 - 20 - 2254*g**2 wrt g?\nAnswer: -6616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -473 - -2367\/5. What is the nearest to -1 in -3, j, 1.8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 776212305 to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -60764, -60774, -60798, -60842, -60912, -61014, -61154?\n\"Answer: -d**3 - d**2 - 60762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3495 + -3690. Let i = 14898.14968349 - 14703.149688. Let u = i + w. Round u to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1640\/(-270) - (-4)\/54?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379 + 326 = 5*h. Suppose h = 5*s - 9. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/486 and 67\/13860153.\nAnswer: 83160918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29057?\nAnswer: 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2207.47 rounded to the nearest ten?\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 125?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23100 is divided by 11407.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 + 23*b - 13. Let x(m) = -2*m**3 + m + 1. Let d be x(-1). Suppose d*n - i + 2*i = -25, -4*n - i = 47. What is the units digit of t(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 13*g + 864 = -3*d, -5*g + 1440 = -2*d. What is the highest common divisor of 648 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879960 is divided by 1897?\nAnswer: 1649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 1)*(-1 - 4 + 3)*(5*d**2 + 11*d - 11*d).\nAnswer: 70*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/910 and -58\/16948295.\nAnswer: 33896590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**2 + 5*c**2 - 7*c**4 + 3*c**2 - 3*c**2 + c**4 + (-1 + c + 1)*(2*c**3 + 3*c**3 - 3*c**3).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 7. Let t be i(9). Solve 0 = -y - t*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 45\/63 + (-10)\/14. Suppose n = 5*g - 3*i - 6, 0 = 3*g + i - 15 + 3. Solve 0 = -g*r + 3*r - 9*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24947.6321 + -24931.6. Let k = a + -16. What is k rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20122 - -21?\nAnswer: -20101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 109, 234, 359?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2739 is divided by 54?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 4*f + 17. Let y(n) = 16*n**2 + 3. Let r be y(3). What is the remainder when -1*3\/((-9)\/r) is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.01 (b) 2.864 (c) -1\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28, 1483, 5742, 14209, 28288, 49383, 78898, 118237?\n\"Answer: 234*c**3 - 2*c**2 - 177*c - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -47405*-0.01\nAnswer: 474.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h - 2. Let f be i(-1). Suppose 2*z + f = 3*u - 2, 9 = 5*u + z. Suppose u*x - 3*l = 12, 2*l + 2*l + 28 = 4*x. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -82, -135, -192?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*y - 41*y + 138*y**2 - 7.\nAnswer: 138*y**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11576273 = 24*a - 489580480 - 1053035247. What is a rounded to the nearest one million?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034868 take away 2193264491.5?\nAnswer: -2193264491.534868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -40552332312?\nAnswer: 40552332305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 62*r + 961.\nAnswer: (r + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbtbntivovbn. Give prob of picking 1 t and 1 v.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159382 is divided by 131?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 345254 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30101300202 (base 4) to base 14.\nAnswer: -5daca6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/12*(-204)\/119.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9597 + 9716. Calculate the lowest common multiple of 2907 and t.\nAnswer: 20349","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 13*c**5\/5 - 2*c**2 - 25. Find the second derivative of s(a) wrt a.\nAnswer: 156*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23475 + -23502. Let m be 2\/10 - (-32)\/(-10). Sort i, 0, m in ascending order.\nAnswer: i, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015534645 rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h. Let a be ((-182)\/(-21))\/((-1)\/((-6)\/4)). Let l(m) = 8*m. Give a*n(u) + 6*l(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1763069 divided by 49\nAnswer: 35981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*y + 9 = 0, -y - 1 = i + 2. Let h be 1\/7 + 272\/56 + i. Solve 4*d + 0*x + x - 5 = 0, 3*d = -h*x + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 1, j: 2, t: 1}. What is prob of sequence at?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 6266800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28780 - 1630*t + 28780 + (1 + 1 - 1)*(3 - 3 - t) to the form y + p*t and give p.\nAnswer: -1631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5417976910 to the power of 1\/2, to the nearest integer?\nAnswer: 73607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 1. Let j be h(1). Let i be 4*(-3)\/(-12)*2. Let o be (-21)\/(-12) - i\/(-8). Solve 2*w = -j*x - o, -4*w + 7 = -5*w - 3*x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -236 in 31, -4, 2\/25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 4299102 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10130876 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3 - 14\/(-3). Let r(l) = l - 4*l - y*l. Let z(q) = -q + 12. Let x(h) = -3*h + 33. Let m(a) = -4*x(a) + 11*z(a). Determine m(r(s)).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-506*53\/(-2332))\/(2\/4)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368088023.\nAnswer: 211, 1744493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -49. Suppose 4 = -7*p + a*p. Let x be 600*(-4 - (-1856 - p)). What is x rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s - 78973 = -9423. Let k = 5176 + s. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 10, 0.3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 2*p + 8. Let u be n(6). Suppose 0 = s - 3*m, -u = -5*s + 3*m + 4. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 48) + (43 + (-78 - -44) - -6).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 1. Let g(s) = 2*s**2 - s - 1. Suppose -4*d + 4 - 8 = 0. Let q(x) = d*g(x) - w(x). Let f(i) = -3*i. Determine f(q(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -4. Let v be 9787*15\/(-21762) - p. Let u = v + -80\/403. Find the common denominator of u and 85\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (414\/(-51) - (139 - 147))\/(-1*2).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 16. Let p be d(12). Suppose 0 = -3*y + 22 - p. Calculate the remainder when 22 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 9741 = -12*y. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 11 = 5*w. Suppose 3*y - 2*o + 74 = w*y, -5*o = -3*y + 75. Let i = 28 - -11. Calculate the remainder when i is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3\/5 - 2*w**2\/5 + 112*w\/5 - 288\/5 = 0.\nAnswer: -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*w - 17, -4*h = 4*w - 5*h + 13. Find the common denominator of -77\/16 and (0 - w\/54)*41.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.95? (a) -90 (b) 0.1 (c) -1\/6 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 41504786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txexttetpxw. Give prob of picking 1 t and 1 e.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/6, 2\/7, 3, -2, -0.24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -15410000 to the nearest one hundred thousand.\nAnswer: -15400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-7))\/(2\/(-14)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020071 minus 32?\nAnswer: 1020039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(110)\/sqrt(2) + sqrt(330)\/(sqrt(12)\/sqrt(2)))\/(sqrt(180)*1*6).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c0b32 - 3?\nAnswer: -4c0b35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d + 12. Let f be i(4). Suppose 0*b = b - 5*v - 8, f = 3*b + 2*v - 58. What is the remainder when 70 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.089 and -2208.1?\nAnswer: -196.5209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**6\/3 + j**5\/5 + 5*j**4\/6 - 2*j**3\/3 + 3*j - 3. Let t(g) be the first derivative of m(g). Find p such that t(p) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -4*h - 29, -3*t + 21*h - 18*h = -48 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14271300 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j - 5. Give y(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726693 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/3*2\/112*7.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v - 1. Let k(s) = -s. Let r(y) = 51*k(y) - 6*l(y). Does 15 divide r(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-19)*q\/(q**(2\/29)\/q)*(q**(-2))**(4\/7) assuming q is positive.\nAnswer: q**(-3697\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 14*d + 17. Is u(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 3\/1784 (b) -3 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8042\/97315 or 1?\nAnswer: 8042\/97315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14144.854434 + -144\nAnswer: -14288.854434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 25, 4, 5 in ascending order.\nAnswer: -3, 4, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 14 = f, -5*f - 6 = o - 28. Let u(d) = -3*d**2 - 16*d + 19. Let m(a) = a**2 + 8*a - 9. Let r(t) = f*m(t) + 2*u(t). What is the units digit of r(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -132.\nAnswer: -7\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -134?\nAnswer: -3\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 g when three letters picked without replacement from {g: 3, t: 1, y: 4, b: 5, i: 5}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444379.39 days to weeks.\nAnswer: 63482.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + i**2 - 95 - 3*i**2 + 36 + 65*i.\nAnswer: -2*i**2 + 65*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*h**3*x + 15*a*h*x**3 - 68*h**3*x**2 + 2*x**3 with respect to a.\nAnswer: 2*h**3*x + 15*h*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-five eighths of a century?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 4916706.\nAnswer: 2458353","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) 7 (c) 4\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**3)**40\/(i**(-6)\/(i**4*i*i)) assuming i is positive.\nAnswer: i**172","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmxmxxxmxxx. Give prob of sequence mmm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -2ccdb142?\nAnswer: -2ccdb13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5459069 divided by 2387\nAnswer: -2287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(96552\/45)*(-13)\/(130\/4)?\nAnswer: 1\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) - (sqrt(240)*-2 - sqrt(240)))\/sqrt(10))\/(sqrt(24)\/sqrt(3)*4)*5.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1860.89795 + -1861.3. What is j rounded to 2 decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/80196 and -75\/294052.\nAnswer: 882156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 - -3. Let s = 11 + 11. What is the greatest common divisor of s and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quasqaq. Give prob of picking 1 a, 1 s, and 1 q.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 10:45 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 506, 419, -264, -1537, -3394, -5829?\nAnswer: -8836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -3. Suppose o*d - 10 = d. Suppose -17 + d = -5*b. What is the remainder when 9 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + -5 - (0 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49608974 a multiple of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*z + (3 - 4 + 3)*(-3*z - 3*z - 4*z).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 740 less than 2?\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (2 + -14 - -15) + -7.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4650, 18397, 41322, 73425, 114706, 165165?\n\"Answer: 4589*y**2 - 20*y + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 15) in base 4?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2792069 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5969*s - 5932*s + 2 + 11920*s.\nAnswer: 19*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 794397 != 29392693\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 23 = 59. Let s be (-8)\/(0 + p) + 0. Find r, given that -30*r - 6*r**2 + 45 + 7*r**2 + r**2 + 3*r**s = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9877153, 9877164, 9877187, 9877228, 9877293, 9877388?\n\"Answer: f**3 + 4*f + 9877148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -9*g + 5. What is the lowest common multiple of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w. Let r(c) = 6 + 13*c - 1 + 2 - 9*c. What is y(r(h))?\nAnswer: -4*h - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46191629 to the nearest integer?\nAnswer: 6796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 1. Let x be y(-3). Suppose -f - f - x = 0. Find the common denominator of (-2)\/(-36)*(-453)\/f and -27\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 + -423\/5. Do m and -0.08 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28292 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u. Let f = -278 + 272. Determine m(f).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*o - 1 + 1837. Let k = 2 + -15. Let h = k - o. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42*b + 80*b + 17*b)*(-1 + 1 - 1) + 3 - 3 + 2*b + (-2*b + 4*b + 0*b)*(-2 + 7 - 3) in the form c*b + r and give c.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(84)\/(sqrt(48)\/sqrt(4)) - ((2*sqrt(567))**2 + 3 + sqrt(63)).\nAnswer: -2272 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1238 - 2577. Let m = p + 1305.07. Let u = -34 - m. Put -0.3, u, 0.3 in descending order.\nAnswer: 0.3, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*((-2018210)\/(-20))\/(3\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 217557.99896 + -217566. Let r = 8 + x. What is r rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23, -601, 0.3, 595\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egngh. Give prob of sequence neeg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqxqpqpxqppq. What is prob of picking 3 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-2)\/95)\/(1\/5).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 88 = 70 - 4 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 2936931*f + 5873874.\nAnswer: -3*(f - 978979)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128 (base 10) to base 6.\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 66*v**2 + 13*v + 7. Let s(y) = 34*y**2 + 6*y + 3. Calculate -6*b(g) + 13*s(g).\nAnswer: 46*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 o, and 1 w when three letters picked without replacement from yoyttttywt?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6181076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57911 is divided by 56570.\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 364 + 268*x + 358 + 491*x**2 - 722 wrt x.\nAnswer: 982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4 + 4 + 3*u**2 + u**2 - 7 + u**3 - 2*u. Suppose -3282 = -7*h - 3261. Let t be o(h). Calculate the highest common divisor of t and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y**(-18))\/y)\/y)\/(y**(1\/39)*y*y) assuming y is positive.\nAnswer: y**(-781\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 596317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 575527?\nAnswer: -575524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -868*s**2 - 13*s + 49 wrt s.\nAnswer: -1736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1585 + -1582. Solve 6*v - 5*z - 2 = 7*v, 2*v + i*z + 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -456 + 458. Is ((-7118)\/(-8)*o)\/(23\/230) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5562 from -11677372.\nAnswer: -11682934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1405320915?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1485 and 41238?\nAnswer: 6804270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r. Let a(u) = -71*u - 52*u - 55*u - 53*u + 249*u. What is a(x(q))?\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2\/9 + 22741622*z\/9 + 22741624\/9 = 0.\nAnswer: -1, 11370812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s + 7 = -3*w + 23*s, 14*s = -2*w - 84. Calculate the least common multiple of w and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1587795 + -1587812.92462. Let f = c + -0.18408. Let g = f - -18.1. What is g rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 45 = 10*h, 4*a - 63 = -9*h + 8*h for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w + 3*t - 1098, -4*t = -4*w + 1440. Let m(k) = -42*k + 579. Let z be m(13). Calculate the greatest common divisor of z and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -2.21459 less than 2465279.421?\nAnswer: 2465281.63559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 16*((-2)\/(-3) + (-20)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -11*r**7\/14 - r**6\/30 - 67*r**4\/6 + 2*r + 394. What is the third derivative of i(m) wrt m?\nAnswer: -1980*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q + 10*q + 42048 - 255543 = 0. Calculate the greatest common divisor of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 48 = -2*d. Let l = 19 + d. Suppose -20 = -l*p - p. Solve -w + p = 2*x - x, 3*w = -2*x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 k when three letters picked without replacement from {c: 10, k: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15811 * 0.2.\nAnswer: 3162.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 82232920, 82232918, 82232916, 82232914?\n\"Answer: -2*s + 82232922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 2. Let q(l) = 36*l + 207. Let d(u) = 54*c(u) + q(u). Give d(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s. Suppose 0 = 4*i - 9 - 7. Let k = i - 2. Let f(g) = -6*g**2 + 4*g**k + 3*g**2. Calculate f(v(a)).\nAnswer: 49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - m - m)*(-357*m - 31162 + 31162).\nAnswer: 1071*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*t**3 + 107*t**3 - 346*t**3 + 131*t**3 + t - 1228*t**2 as j*t**3 + w*t**2 + b*t + m and give w.\nAnswer: -1228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1286280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*(-104)\/(-6). Let j = -470 + 509. Calculate the highest common factor of j and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r**2 - 82*r - 127. What are the prime factors of z(42)?\nAnswer: 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + 294\/5. Let j = 4367 + -4366.7. Let s = 2 - -2. What is the fourth biggest value in 1\/6, j, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (172 - 162 - (5 - -1))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 10*u - 16. Let j be (2 + 1)\/((-42)\/56). Let l = j - -11. Let w be d(l). Solve -r = r + w*f + 2, 0 = -3*r - 5*f + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 1. Let q = 9 - 4. Let g = 9 - q. Which is the closest to g? (a) i (b) -0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19970655 is divided by 2454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*g**2 - 47*g**2 + 80*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcrr when four letters picked without replacement from {r: 19, c: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33475 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15946 + 1717 = -527*g for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -312855, -625479, -938103, -1250727, -1563351?\n\"Answer: -312624*c - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20453\/11360 - -1\/2272. Let z = 0 - 0. Suppose 4*x + 8 + 0 = z. Which is greater: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1309)\/170 + -1*(-8)\/(-4) + -2 and -47\/184.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipn when three letters picked without replacement from {p: 1, c: 6, i: 3, n: 1, o: 2, m: 2}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*u = -398*u + 72 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + sqrt(102)*-1*-1 - 2*sqrt(102)*3)\/((sqrt(600) - sqrt(600)*2)*-1))**2.\nAnswer: 68\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 8:23 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*n**3 - 2390*n**2 - 2924*n - 784 = 0. What is n?\nAnswer: -4\/5, -2\/5, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p + 8. Suppose -p*x + 6 = 2*r - x, -3 = -r + x. What is the remainder when 4\/r*1581\/34 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o**2 - o + 6. Let h be d(0). Let g = -21 + 26. Which is the smallest value? (a) -0.1 (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 11. Suppose 0*l - 5*l + 10 = 0. Suppose -4*g - a = -10, -7*a = g - l*a - 12. Solve 5*u + 0*u + 3 = 4*j, g*j - u + z = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*s = s - 168, 0 = x + 4*s - 53. Suppose 6 = -4*c + 4*j + 70, 0 = -4*c - 2*j + 82. What is the remainder when x is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 - 4*w**2 + 3*w**2)*(53 - 10 + 140*w - 41) to the form k + l*w**2 + x*w + b*w**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 1, 0, -283, 5 in ascending order.\nAnswer: -283, 0, 1, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 7684210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 20, 156*c + 25 = 5*l + 162*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n + 4*k = -3, -3*n - 3*k + 27 = 0. Let v(h) = -h + 17. Let f be v(n). Suppose f*y + 29 - 41 = 0. Solve -p - u = -2*p - y, -2 = -u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 11*s**2 - 876*s - 15277. Calculate x(-16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 55?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 2, -1\/2, 0.7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 0.0212.\nAnswer: -0.3788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 8*l - 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.800007 - 18.8. Round x to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**5 + 766340*p**4 - 48940260516*p**3 + 1041856577241228*p**2 - 2083517399571048*p = 0. Calculate p.\nAnswer: 0, 2, 63861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 10*m + 4. Let p be w(-4). Let x = p + 18. Let n be (-4)\/x + 305\/45. Solve 4*k - n = 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 718 - 713. Calculate the greatest common factor of 205 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Round -3251 to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(19) + -1 - sqrt(19))*6)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 + -1 + 10 + -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46653919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 5*f**2 - 5*f + 5. Let l be j(-6). Let r(b) = -b + 1. Let p = 37 + -26. What is the least common multiple of r(l) and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 66 = 108. Suppose -162 - 47 = -11*i. Calculate the remainder when i is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163702849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 1:59 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 658\/(-98) - (0 - 2\/(-7)). Let m = -12.36 + 12.4. Is d less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -141*f**2 - 510.\nAnswer: -282*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 40. Solve -3 = -2*i - t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2253*o**4 + 928*o**2 wrt o?\nAnswer: -54072*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556942.\nAnswer: 2, 281, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/80 - 152\/(-10). Suppose -6*w = -5*m - 2*w + 1885, 3*w - s = 0. What are the prime factors of m?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -5 + 6 - (4 + (-10 - -22))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -102, -238, -428, -672, -970?\nAnswer: -1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 0.074, 4, 0.2?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1621755*y - 105524*y - 1492974*y.\nAnswer: -3220253*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsuszrq. Give prob of sequence szus.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w + 5. Let u be y(-4). Let j = 9 - u. Sort 2, j, -2.\nAnswer: j, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/2)\/(79\/((-67782)\/117)))\/((-1)\/3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**3 + 545*d**2 - 14575*d - 15125 = 0.\nAnswer: -1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 26*h - 120. Determine k(4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.45561 and 0.05.\nAnswer: 0.3227805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1942, 3947, 5942, 7927, 9902?\nAnswer: 11867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*w - 2943511 - 28043. List the prime factors of w.\nAnswer: 3, 61, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20 - 11) + 16 - -9) + 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -c + 2*r, -4*r = -3*c - 0*r + 4. Let g = 3 + -5. What is the units digit of g\/(-8) - (-46)\/c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.3, 1.11, 0.03, 0?\nAnswer: 1.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6205633 + 122?\nAnswer: -6205511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - 4*i + 0*i + 3)*(-4*i - 22*i + 3*i) - 9*i**2 + 0*i**2 + 4*i**2 to y + c*i**2 + n*i and give c.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6460991665.\nAnswer: 5, 8011, 161303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*y - 5 = -216*y - 5*l, -9 = -3*y - 2*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147741, -147745, -147749, -147753, -147757, -147761?\nAnswer: -147765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-6 - -6) - (-2 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*q = -1800, -372 = k - 4*q + 2*q. Let p = k + 9047\/25. Is p < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 191 = 52. Let t = j - 192\/7. Let x = 14.8 + -15. Which is the biggest value? (a) 0.05 (b) t (c) x (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = n. Let a(v) = -v**3 - 6*v**2 - 7. Let x be a(n). Let c = x - -51. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*n + 40, l = n - 2*l. Suppose v - 3*v + n = 0. Solve v*y + 2 = 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 5*sqrt(2448) + 0)**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 326*a - 326*a - a**3 - 1. Let y(t) = 6*t**3 - 9*t**2 + 2. Let u(o) = 5*n(o) + y(o). Calculate u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2016\nAnswer: 1\/2016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001417 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = -3*b - 9, 4*b + 16 = 4*n. Put 0.5, b, 0.19 in increasing order.\nAnswer: b, 0.19, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 2) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*r + 7*f - 40, 4*r - 24 = f. Let q(n) = n**3 - 6*n**2 - n + 13. Let c be q(r). What is the greatest common factor of c and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 28 + -20 + 2 + 5 + -11.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5344 + 10893. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 16*p + 11. Let o(w) = w + 4. Determine 4*o(g) - x(g).\nAnswer: -2*g**2 - 12*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 275909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(3\/2)*n*n))**(20\/9)*(n**(-2\/3))**(15\/8))**(-2\/51) assuming n is positive.\nAnswer: n**(325\/918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 326*q**2 - 3646*q + 3322.\nAnswer: -2*(q - 151)*(q - 11)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12\/23, 244, 3\/2, -2\/7?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (0 + sqrt(34)\/(sqrt(2)*-1))*-1 - (((sqrt(68) - (sqrt(68) + 0)) + -2)*-6 + 3))**2.\nAnswer: -34*sqrt(17) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 166914299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 696, 4, 8, 5 in descending order.\nAnswer: 696, 8, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*k - 5*k + k)*(-2 + 1 + 0) - 4*k + 3*k + 3*k)*(-1 - 1 + 4 + (1 + 3 - 1)*(3 - 2 + 1)) to the form n*k + v and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -38. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 135364, 135243, 135042, 134761?\n\"Answer: -40*l**2 - l + 135405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.356 rounded to two dps?\nAnswer: -1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ssssssssssssl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 533285\/38 - 14033. Calculate the common denominator of 6\/11 and a.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*d - 17, 2*a - 3*a = -5*d - 17. Suppose a*y + 23 = 3*f, -f - y = -4*y + 4. What is the highest common factor of 77 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11589090496\/9051 + -1280421. What is the common denominator of q and -83\/24?\nAnswer: 72408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.148 and 2.\nAnswer: 0.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 6*c + 6. Let z be o(-4). Let g = z + 8. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13844 - -13845. Sort 7, -46, k in descending order.\nAnswer: 7, k, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 126 - -353226?\nAnswer: 353355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 9*z - 10. Suppose 0 = -4*s + 3*l - 22, -2*s + 4*s - 3*l = -8. Calculate the remainder when 8 is divided by i(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 27. Suppose h - 2*u + u - 43 = j, -4*u = -2*h + 88. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - p**2 - p + 5. Let z be v(0). Let f(s) = 12*s**2 + 3*s - 28. Let r(j) = 3*j**2 + j - 7. Let l(i) = -2*f(i) + 9*r(i). Is l(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*x - 3*x - 13*x**2 + 10*x wrt x.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-15)*(-1485)\/(-90).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -453397041 + 321\nAnswer: -453396720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4 + 2 - u**2 - 1 + 224*u - 216*u. Let l = -9 - -17. Let w be x(l). Let p(z) = z**2 - 4*z - 7. Give p(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1401692 to 2 dps.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.01 - -0.01. Let l = -7 - u. Suppose -2*s + 2 = -s. What is the second smallest value in s, l, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + u = 452, -8*u + 2 = -7*u. Let l(q) = 2*q**2 - 83*q + 30. Let h be l(40). Is j > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n - 3. Let d(l) = 6*l + 14 + 0*l - 5*l - 15. Calculate -c(s) + 5*d(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10041119, 0.3, -3.5.\nAnswer: -3.5, 0.3, 10041119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -3*sqrt(153)*6)\/(sqrt(9)*-2*-4))**2.\nAnswer: 4913\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 54 = d, 4*d - 3*d - 68 = -5*h. Let v = -311 - -315. Solve -4*q + 0*k = -2*k + h, -3*k + 15 = -v*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2863, 5700, 8537, 11374?\n\"Answer: 2837*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30487*x**6 + 24678*x**2.\nAnswer: -3658440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/(-45)*-3*(-25)\/(-10)*(-5 - -3)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 2, l: 9, x: 4, z: 1}. What is prob of picking 2 k?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 4*h + 2, 3*o = -2*h + 15 - 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 1\/2 (b) -2\/3 (c) 1.89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a milligram in micrograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -47 (b) 426 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36976, 73973, 110970, 147967, 184964?\nAnswer: 221961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11020, -4, -3, -10 in increasing order.\nAnswer: -10, -4, -3, 11020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2 - 40*a - 49. Determine b(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*s + 101 = 4*h - 138*s, -65 = -5*h + 5*s. Calculate the greatest common divisor of 3910 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 22 + 14 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 7*v**2 - 5*v + 10. Let u be d(-6). Let n be u*3\/117*9\/6. Put n, -4, 1\/3, -1 in increasing order.\nAnswer: -4, -1, n, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-119)\/(-126)*72\/(-48) and 89\/648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/((sqrt(2) + (sqrt(32) - sqrt(2)) + sqrt(2))*-1))\/(sqrt(5) + -6*sqrt(80) + sqrt(35)\/(sqrt(7)*1)).\nAnswer: sqrt(5)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200040301 (base 5) to base 11.\nAnswer: -15aa348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times 11.4826?\nAnswer: -2.411346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 144*k + 4743. Give i(-38).\nAnswer: -729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4*-6 - (-33)\/(-66)*0. Solve -2\/13*y**4 + 0 + 2\/13*y**5 + 0*y**2 + 0*y**k + 0*y = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4.9 (b) -0.6 (c) 3 (d) 4 (e) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 21*r**2 + 39*r - 17. Let k be y(19). Solve -5*l = g + 21, 0 = 5*l + k*g - 0 + 22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 3*s + 3. Let l(p) = -3*p**2 + 5*p + 5. Suppose -28*j = 15*j + 215. Determine j*z(w) + 3*l(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 1014043?\nAnswer: -1014103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -1, -861, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (3 + 4) - -42 - ((17 - 12) + 5).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18 + 4)\/(-5*(-2)\/65). Let y = 602 + p. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1410384631 to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -244*z**3 - 249*z**3 + 61*z - 48*z**3 - 6*z**2 - 443*z**3 wrt z.\nAnswer: -5904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1491 + 1503.94. Let x = 15.9 - y. Let g = -0.04 - x. Put g, -2\/7, -0.5 in descending order.\nAnswer: -2\/7, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nine tenths of a second?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*u - n + 2, n + 11 = -5*u. Let i = u - -6. Put i, 1, -2 in decreasing order.\nAnswer: i, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-6*(sqrt(98) + -4) + -1)*2*4 + 0)**2)*4.\nAnswer: -494592*sqrt(2) + 1038600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 142*t**2 + 2523*t - 45. Give n(-16).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**3*c*v**2 + 138160*b**3*c + 2*b**2*c*v**2 + b**2 + 2*b*c*v**2 - b*v + 2*c*v**2 + 5*v**2 wrt b.\nAnswer: -18*c*v**2 + 828960*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5540960 to the nearest ten thousand.\nAnswer: 5540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 38198.1931?\nAnswer: -38200.1931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*q = 1008, 4*q = -4*c - 59 + 1363. Calculate the remainder when c is divided by 150.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 61, 191, 397, 679, 1037, 1471?\n\"Answer: 38*h**2 + 16*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)*4)\/sqrt(5) - ((sqrt(475) + 5)**2 + 4).\nAnswer: -504 - 58*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2167140 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2*n + 3 = 0, -7*r + 6 = -2*r + n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 29*i - 49. Determine o(27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -572, -575, -578, -581?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 8.3. Let k = -7.07 + 0.07. Let d = j + k. Which is the closest to d? (a) -4 (b) -2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3435380 or 0?\nAnswer: 1\/3435380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 13. Let n be p(8). Let s(u) = u**2 - 4*u - 6. Let r be s(6). Solve 0 = -n*t - o - 1, 4*t = o - r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 442 and 93 - (0\/11 + 2)?\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7971*g**3 + 2677*g**3 + 2728*g**3 + 2562*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 8. Suppose 2*a + a + 4*l - 32 = 0, -3*a + 7 = -l. Let z(i) = 0 - a + 7 - 2. Determine -q(w) + 5*z(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 596886, 596876, 596866, 596856, 596846?\n\"Answer: -10*d + 596896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2637 and 54205?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 125066 = 58659. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + 11*w**2 - 23*w + 4. Let f(x) = 6*x**3 + 32*x**2 - 69*x + 11. What is 11*b(z) - 4*f(z)?\nAnswer: -2*z**3 - 7*z**2 + 23*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 78 = -2*n, 113 = 4*i - i + n. Let q be (1 - 22)\/((-48)\/4 - -9). Suppose q*v - i = 208. What is the remainder when 98 is divided by v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/13250 and 79\/530.\nAnswer: 13250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 0*u + 7\/120*u**6 + 0*u**3 - 7*u**2 + 0 + 0*u**5 + 17\/24*u**4. Find the second derivative of c(q) wrt q.\nAnswer: 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 1 + 1 + 0*o - 2*o + o + (1 + 2*o - 1)*(1 - 4 + 1).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012020220112 (base 3) to base 5.\nAnswer: -130304032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 6 - 17*j + 10 + 2 + 2.\nAnswer: -17*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176343 and 258.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**3 + n**2 + 3*n + 1. Let q be w(-1). Suppose -43 = -q*u + 121. Let x = u - 42. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3)*n**(6\/7)\/n)\/((n*((n**(-4\/5)*n)\/n)\/n)\/(n\/n**(9\/5))))**(-10) assuming n is positive.\nAnswer: n**(170\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**5\/20 + a**4\/12 - 5*a**2\/2 - a. Let k(j) be the first derivative of -2*j - 56. Determine -2*c(x) + 5*k(x).\nAnswer: -2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -4*k - 4*w, -2*k + 2*w + 149 = 5*w. Let t = -58 + k. Find f, given that -t*f + 31*f**4 - 6*f**3 - 3*f - 4 - 32*f**4 - 13*f**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 359.9595 - 360. What is m rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*(y**(3\/8)\/y)\/y)\/y*y)**(-1\/3)*y**(1\/26)*y**(-13) assuming y is positive.\nAnswer: y**(-1361\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/47 (b) 5 (c) 0 (d) 0.4 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + 2*n**2 - 9*n - 1. Let p be f(5). Let b = p - 1279\/5. Which is smaller: b or -0.09?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from rrrtrvrrrrr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 - 34\/6. Let m(b) = 3*b**2 - 8*b + 18. Let q be m(4). Let k = q - a. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38106099?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -165362 * 13.\nAnswer: -2149706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1144 and 169?\nAnswer: 14872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/17, 1, -4, -17, -39?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1428\/(-2618)*2\/3 + (-828)\/22?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c*g**2 - 8*c + 2233523*g**2 - 328576 wrt g?\nAnswer: 4*c*g + 4467046*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3\/4 - 89*p**2\/2 + 2024*p - 3872 = 0 for p.\nAnswer: 2, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -67*c**3\/6 - 7*c**2\/2 - 9*c. Is q(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7369d (base 15) in base 2?\nAnswer: 1011001010110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99910 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.2 in 4, 3.4, -7\/745, 5?\nAnswer: -7\/745","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**4 + 6*n**3 + 6*n**2 - 3*n. Let s(v) = 15*v**4 + 17*v**3 + 17*v**2 - 10*v. Let a(b) = 17*c(b) - 6*s(b). Find the second derivative of a(l) wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9289 in -1\/5, 19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 2*i - 2. Let j(w) = 135*w + 1 - 64*w - 70*w. Let b be -3 + 2 - 0\/(-2). What is b*r(a) - j(a)?\nAnswer: a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y - 15. Let o be m(6). Let g be (o + -1)*((-21)\/14)\/(-3). Suppose 6*u = g*u + 310. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 3*r = 2*a + 5, 4*a = -5*r + 5. Suppose o + 16 + 1 = 5*f, 3*o = -a*f + 29. Suppose 4 = -f*x + 32. Is 8 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, l: 3, a: 6, p: 1, n: 1}. Give prob of picking 3 r and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*t + 3 = -12, -4*j + 3*t - 12 = 0. Is 16 a factor of (-93)\/(-2)*(-2)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 38 - 143. Let c(z) = 21*z + 7. Let y(h) = 14*h + 5. What is f*y(o) + 5*c(o)?\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-10)*(-3480)\/(-13224)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyyr. What is prob of sequence yy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-40))\/(8\/(-48)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2 + 463*v + 1907. Let q be l(-4). Let z(b) = b**3 - 5*b**2 - 16*b - 7. What is z(q)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 18*x**2 + 2*x + 1. Let t be n(-1). Let y = 22 - t. Solve y*h - 14 - 1 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1471673 and 581?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -7367784132.\nAnswer: -7367784136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 16445 - 363 = 0. Suppose 963 = g + h. Solve 5*n + 16 = o, -2*n - 5 = -5*o - g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*o = 0. Suppose o*s = 2*s - 38. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/3 + (949\/130 - 3).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/12)\/((-3)\/60). Suppose 23 + 1 = -2*l. Let w = g + l. Solve -20 + 5 = -w*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1060\/(-2226))\/((-10)\/28)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 2*u**2 + 8*u - 14. Let a(f) = f**2 + f - 1. Let o(g) = 5*a(g) - r(g). What is the units digit of o(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/967, 2\/7, 0.4, 0, -0.05, -1048?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1540889476?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 9163?\nAnswer: 32\/9163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -641, -639, -635, -629?\n\"Answer: b**2 - b - 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 22*n + 37. Let p be s(32). Suppose -9*r + p - 1423 = 0. Suppose -h + 2 = -6. Calculate the remainder when r is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 24. Let k be s(12). Calculate the greatest common divisor of k and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34847998 * 20\nAnswer: 696959960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4615265 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 190 + -122 + -148 + (-10 - 1 - -1)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 smaller than -112\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jffffffffffjfjfffffj?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1447.4 + 1621.4. What is the nearest to 1\/3 in f, -2\/3, -4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 9*k - 1. Let w be h(-11). Does w = -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2820*g - 978132 = 2783*g. What is the thousands digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1554 - -1566. What is the greatest common factor of b and 3156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**3 + 29*l**2 - 20*l - 14. Let k(g) = -g**3 + 10*g**2 - 7*g - 5. Let u(n) = 17*k(n) - 6*p(n). Let t be u(4). Solve -t*f + 21 - 6 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -10*t**3\/3 - 107*t**2\/7 - 12*t\/7 + 947. Factor l(c).\nAnswer: -2*(c + 3)*(35*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*k**3*m*u - 945*k**3*m*w - 3*k**3*u + 3*k**2*u + 3*k*m*w + 8*k*w + 1090*m*u*w - m wrt k?\nAnswer: -552*m*u - 5670*m*w - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12929418 divided by 7191?\nAnswer: -1798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1421817\/11 - -129369. Which is smaller: 112 or l?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 48*v + 17. Calculate a(24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 3*f + 266519. Let v be y(0). Is (v\/22)\/((-3)\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**6\/120 - u**5\/5 + 3*u**4\/8 - 31*u**3\/6 + 6*u**2. Calculate the least common multiple of c(-13) and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 16488781*k. Let c(s) = 3*s. Calculate c(r(n)).\nAnswer: 49466343*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**7\/42 - 67*q**5\/10 + q**4\/6 - q**2 - 537*q. Find the third derivative of t(l) wrt l.\nAnswer: -60*l**2 - 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -39. Solve -5*a = i - v*i + 1, 0 = -5*i - 5*a + 15 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 + -108. Suppose 9*z = -o*z + 1482. What are the prime factors of z?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1 = 6*i - 5*i, -3*o + 5 = -5*i. Suppose o = -5*l + 4*p + 81, -64 = -4*l - 7*p + 11*p. Solve 5*j = -3*c - 23, -6*j - c - l = -2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146\/876*1\/((-1)\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjb when three letters picked without replacement from sbbbbbsjbbbbbbbsbj.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -7, -2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 - 52. List the prime factors of z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**3\/2 - o**2\/2 - 7*o. What is b(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**4 + 783*g**3 + 7245*g**2 + 12129*g + 5670 = 0.\nAnswer: -7, -1, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -202 - 59*n + 203 - 10*n**2 - 19*n to the form q*n + b + z*n**2 and give q.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13271*p**3 - 20517*p**2.\nAnswer: 79626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069 times 0.5?\nAnswer: 0.0345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171)*2 + sqrt(171) - sqrt(171))\/(sqrt(9) - 2*sqrt(45)\/sqrt(5)) + ((sqrt(304) + 0 + sqrt(304) + sqrt(304))*-3)**2 + -5.\nAnswer: -4*sqrt(19) + 24619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 731, 1882, 3033, 4184?\nAnswer: 5335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 321c2?\nAnswer: -321c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from {z: 2, p: 9, j: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 - -16407?\nAnswer: 16357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-387240)\/175180*76\/18?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -665278 - -1128278. Round x to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2273801 and 3009.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12 + 5\/((-10)\/(-3))*(-169115)\/(-6705).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439461?\nAnswer: 3, 11, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -269239, -269257, -269287, -269329, -269383, -269449?\n\"Answer: -6*w**2 - 269233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -90, -179, -270, -363, -458, -555, -654?\n\"Answer: -c**2 - 86*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*k - 29, -4*k + 5*k + 2 = 0. Let m = -19376\/45 - -95957\/45. Let n = m + -1708. Which is smaller: f or n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 1558305 - 3741437 = 3390268. What is d rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -164430728 to the nearest 100000.\nAnswer: -164400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*k = -5*v + 198*k + 133, 0 = 5*v - k - 141. Solve -4*m - 33*n = -v*n - 28, 4 = n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1.43 (b) 2\/7 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxxdxxdxxxd. What is prob of picking 2 x and 2 d?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 786558 to the power of 1\/2, to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (19 - 6) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r**2 - 4 + 4 - 35*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31, 76, 149, 262, 427, 656?\n\"Answer: 2*t**3 + 2*t**2 + 25*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - w - 5*w + 2)*(7*w + 13 - 13) - 2*w**2 - w + w.\nAnswer: -9*w**2 + 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -64875, -129776, -194677, -259578, -324479?\n\"Answer: -64901*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b. Let y(u) be the first derivative of u**3\/3 - 3. Calculate y(t(w)).\nAnswer: 49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75942498?\nAnswer: 2, 3, 31, 281, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -56113546 and -3.\nAnswer: -56113549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.4 (b) 5 (c) -6\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r + 10. List the prime factors of o(9).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690499.\nAnswer: 127, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*s**2 - 7*s**2 - 6*s**2 + 4*s**2 - 16*s**2 - 10*s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 + 65. Factor -20*p**3 + 6*p + l*p**2 - 34*p + 31*p**2 + 8 + 4*p**4.\nAnswer: 4*(p - 2)*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2962\/231 less than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 115. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(325)*1*-1)**2 + sqrt(325)*-1*-2) + -4.\nAnswer: -979 - 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 k when three letters picked without replacement from kokkkkokkkkkkv.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 29. Suppose 72 = x*p - 323. Let z = 164 - p. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -210, -376, -634, -996?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 578366.2 grams in kilograms?\nAnswer: 578.3662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 1675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49425*a**3 + 13*a**2 + 4072138*a?\nAnswer: -296550*a + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j = 32*j - 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, z: 1, i: 3}. Give prob of picking 2 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 12, 5 in descending order.\nAnswer: 12, 5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 377, 0 in decreasing order.\nAnswer: 377, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31, -34, -11, 50, 161?\n\"Answer: 2*g**3 + g**2 - 20*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1171 = 3*o - 1165, g - 1 + 0 = -o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22111101120 (base 3) to base 10.\nAnswer: -167226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 19 = -4*m. What is the common denominator of 2 + 4\/(144\/(-483)) and (-2)\/(m\/(-17)) - -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-30)*(-40)\/24 + (-3 - 20)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 2) + -2 + 1 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -16, 5, -2, -5, -169?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 15 - 3. Let z = 3 - -3. Let w = z - 5. Which is the second biggest value? (a) v (b) w (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**4\/5 + 3*y**3\/5 + 2*y**2\/5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 + 180. Let j = a - 87. Suppose j*k - 16 = 104. Solve -k = -4*b + 4*x, -5*b + 2*x = -6*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2 - 4285*m**2 - 2 - 4714*m**2 + 9822*m**2. Let a(v) = -v. Calculate a(i(k)).\nAnswer: -823*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.92 - -5.9. Let p = 15.48 - z. Let g = p - 15.5335. Round g to three decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*m**4*u + 261*m**3*u**3 - 170*m**2*u**3 + 4*m**2*u + 2*m*u**3 wrt m.\nAnswer: 600*m*u + 1566*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 5, 6, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 165*k - 162.\nAnswer: -3*(k + 1)*(k + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**4\/4 + 8*n**3\/3 - n**2 - 4*n + 1. Suppose -4*h = -c + 8, 3*c = -4*h - 24 - 16. List the prime factors of b(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(30\/(-4)))\/((-12)\/(-3)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 185*q**3 + 3560*q**2.\nAnswer: 5*q**2*(37*q + 712)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13212*q - 2 + 10*q**2 + 2 + 13263*q.\nAnswer: 10*q**2 + 51*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 - 3*s**4 + s**4 + (2 + 2*s**4 - 2)*(-3 + 1 + 3) + 5*s**4 + 4*s - 4*s.\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from {r: 7, i: 7, t: 2, d: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 10, 29 = 2*n - 5*g - 149. Calculate the highest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005932795 rounded to 6 decimal places?\nAnswer: -0.005933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2673\/(-220))\/(-81))\/(12\/(-50))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-7)*w*w)\/((w*w**(-3\/10))\/w)*(w\/w**(-2))**(6\/25))\/((w\/((w\/(w**(1\/4)\/w))\/w))**38)**(3\/2) assuming w is positive.\nAnswer: w**(-1823\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.5 - 2.5. Let k = 295800 + -295794.00415. Let t = g - k. What is t rounded to 4 dps?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 975 + 971 - 1946 - 281*x**3.\nAnswer: -281*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7, -29, -65, -115?\n\"Answer: -7*t**2 - t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1188.02841 - -1188. Round p to 3 dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 15*l + 1. Let x be k(2). Solve -2*m - x = -29 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1221 + -3?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*m - 33, 4*h - m + 51 - 183 = 0. Is (-31716)\/(-44) - (-6)\/h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g**5\/9 + 1450*g**4\/9 + 2596*g**3\/9 - 6056*g**2\/9 - 10736*g\/9 + 1024\/9 = 0. What is g?\nAnswer: -64, -2, 1\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 13*i**2 - i - 14. Let r be q(-13). Let v be 5256\/45 - r\/5. Calculate the highest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135561 and 47961.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 599504.7nm to micrometers.\nAnswer: 599.5047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 182*z + 4736. Determine i(-25).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:48 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3275250050 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4)*r**(2\/93)*r)**(-2\/17) assuming r is positive.\nAnswer: r**(-473\/3162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*a - 7*o + 2960, 0 = 4*a - 2*o - 2350. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79043\/72446 - -1\/6586. Which is bigger: 217 or l?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -2, 4, 14, -15, 27, 2 in descending order.\nAnswer: 27, 16, 14, 4, 2, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 915 and 915?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99\/3 + 533700\/(-16200)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -123*s + 318. Let a be y(12). Is 82 a factor of (36\/24)\/(3471\/a + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 - 52 - 45 = 41*o - 67 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h - 3*h + 0*h)*(2*h + 2*h - 3*h)*(4 - 14 - 10).\nAnswer: 160*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 37. Solve 5*y - n + 4 = 3*c, 0 = y - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25.34042 - 3071462\nAnswer: -3071436.65958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.24 + -3.76. Let k = 68.53 + -64.6. Let j = k - -0.07. What is the closest to 1\/5 in y, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2014.4329 to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t - 4. Let i(k) = 13*k + 9. Let d(m) = 6*i(m) + 11*y(m). Let s be d(-5). Suppose s*w = 15 - 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/(-3)*2\/6. Let z be (-6)\/(-18) - (-2)\/(-6). Solve -3*v + 5*u - f*u - 18 = z, -2*u = 3*v + 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 7 - (143 + -66)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**3\/6 + 37267*w**2\/6 - 2158963*w\/6 + 10430923\/2 = 0.\nAnswer: 29, 37209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 9) + 17 + -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.53293 kilometers to meters.\nAnswer: 78532.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24180 + -24180.2. Is b >= 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33798138 to the nearest integer?\nAnswer: 5814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.28552062 + 14159.\nAnswer: 14163.28552062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzbzzzjzssz. Give prob of picking 2 s and 1 b.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = s - 3*s + 12, 4*s = 0. Let k = 8 + z. Calculate the remainder when ((-76)\/k)\/((-1)\/6) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1161615, 4646352, 10454255, 18585330, 29039583, 41817020, 56917647?\nAnswer: 74341470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 6*s**2 - 3*s**3 + 1\/2*s**4 + 1 - 1\/30*s**5 + 0*s. Let n(r) be the second derivative of a(r). Find x such that n(x) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*x + 22040 = 3032. What is the smallest common multiple of x and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 316*x - 435*x**2 + 2719*x + 868*x**2 - 435*x**2 in the form r*x + q*x**2 + d and give r.\nAnswer: 3035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20208 = 88*q - 22584 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 = 4*h - 4*i, 4*i + 8 = -4. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311467 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 99204533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 26. Calculate the common denominator of (-3)\/2 - (-25)\/(-6) and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7667 = 464*s + 13903 - 3474 for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {o: 6, t: 4, s: 3, m: 4}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 5*z**2 - 4*z + 3. Let n be c(-4). Suppose -2*f = -n*f + 7. Let q(t) = -t**2 + 8*t - 5. Determine q(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**2 + 6. Let y(w) = 11*w**2 + 17. Let q(d) = 17*f(d) - 6*y(d). Let i(m) be the first derivative of -m**2 - 2 + 2*m**2 + 4. Calculate q(i(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 130 = 4*n - 11*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 24*g**2. Let r be u(-1). Let l be (22\/6 - 3)*r. Suppose q - l = 19. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - n - 42. What is m(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 19*c**5\/360 + c**4\/4 - c**3\/9 + 68*c**2. Factor o(y).\nAnswer: (y + 2)*(19*y - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k**2 + 2. Let j = 1164 + -1163. Let b(d) = -d**2 + d. What is j*b(s) + h(s)?\nAnswer: 8*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 1 + sqrt(242) + sqrt(20)\/sqrt(1210))**2.\nAnswer: 486*sqrt(2)\/11 + 118219\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74644, 298458, 671448, 1193614?\nAnswer: 1864956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 2090727708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 102728 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 - -39. Suppose -h = -3*t + 3*m, 3*t - 15 - 108 = -3*m. What is the remainder when 150 is divided by t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 + 0.08. Let x = -3 - -7. Let m be (-45)\/10 - (-2)\/x. Are m and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 9, -9, 0.09, 0.3 in increasing order.\nAnswer: -9, -4, 0.09, 0.3, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**2*q**4 + 33*i**2*q**3 - 53*i**2*q**2 - 13*i**2 - 3*i*q**4 wrt q?\nAnswer: -24*i**2*q + 198*i**2 - 72*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*o - 8*x, -35*x = 2*o - 34*x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 125*q**2 - 100*q - 3274. Let p be i(126). Solve -3 = m - x, -m - p*x + 5*x + 3 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 942.4521 litres to millilitres.\nAnswer: 942452.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 14*f - 28. Let m(n) = n**2 + 34*n - 100. Let z be m(3). What is y(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -59\/4 (b) 3 (c) -5 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 4*u**2 + 11*u + 36. Let p be t(-4). Let z be (p\/(-9))\/((-68)\/(-306)). Solve 0 = z*x + v + 15, -2*v = x - 4*v - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 3289*r**2 - 6*r + 7. Give a(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3778985 is divided by 944737.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 + 132 = n. What is the first derivative of -3122 + 68*i**2 + 76*i**n + 3151 wrt i?\nAnswer: 288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21794893 + 44074893. Round j to the nearest 100000.\nAnswer: 22300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 18*k**2 + 21*k - 9. Let y be g(19). Let v = y + -1. Let n(p) = 49*p - v*p - 23*p. Let t(d) = 26*d. Calculate t(n(x)).\nAnswer: -52*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1960, -1958, -1956, -1954, -1952?\nAnswer: -1950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3.1. Let d be (0\/2 + -1)*1. Let n = -2 + 1.6. What is the nearest to 0.2 in n, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hphdhdddeyd. Give prob of sequence dy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 462 + -450. Suppose 45*z = q + 43*z + u, 28 = -4*q + 3*z. Which is the closest to -1? (a) 0.37 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -294742.08 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-10))\/(272\/680)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 6. Let t(p) = -p**2 + 6*p - 4. Let v(b) = b. Let w(c) = -t(c) + 5*v(c). Let m be w(0). Let a be q(m). Sort -1, a, 5 in ascending order.\nAnswer: a, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/(-30) - 4 - ((-70)\/(-350) - 1005\/(-150))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 12:47 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != 0.08662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -10*t**4 + 23576*t**3 + 222540*t**2 - 98712*t - 1661634 = 0.\nAnswer: -9, -3, 13\/5, 2367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2, o = q - 2*q - 4. What is the remainder when ((-1056)\/80)\/(o\/5) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37.6877 + 5.1863. Let j = -43.6 + a. What is j rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -9, 7, 29, 57?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 10*o - 1. Let v be g(1). Suppose -4*d + v*d = 235. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/115444 and -97\/230888.\nAnswer: 230888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 - 37. Let t = b + -10. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7509 - 7308. Which is the second smallest value? (a) 0.5 (b) 21\/2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-2)*(-44)\/(8932\/(-87))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2967.24 to the nearest ten.\nAnswer: -2970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7806 + 7878. Calculate the remainder when 570 is divided by i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 342 = -0*q. Suppose 483 = 3*g - q. Let i = g - 105. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 35 = d. Let k = 14\/1615 + 35179\/3230. What is the common denominator of (-3)\/(-6) + (-218)\/d and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -883, -802, -659, -448, -163, 202?\n\"Answer: v**3 + 25*v**2 - v - 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (5 - 0 - (14 + 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736076?\nAnswer: 2, 11, 16729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (9 + -3)) + (0 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o + 21. Let l = -245 - -239. Let d(p) = 5*p + 18. Let u(v) = l*i(v) + 7*d(v). Let n(g) = 72*g - 3. Calculate u(n(w)).\nAnswer: -72*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 9:31 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*g + 32, 0 = -4*g + 2*i - 3*i + 12. Let b = 5 - 0. Suppose -r + g*c = c - 1, -b*c = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7490*o**2 + 37691*o**2 + 44549*o**2 - 13473*o**2 - 2*o.\nAnswer: 76257*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-1)*54448\/(-32). Is -2*(3 - q\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -76 and -516029699?\nAnswer: 516029623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10025*l**4 + 189*l**5 + 10025*l**4 + l**5 + 2*l**5 - 2*l**5 + (-4 + 2*l**3 + 4)*(-2 + 2 - 2*l**2).\nAnswer: 186*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.36 or -0.21?\nAnswer: -2.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -26 + 41 - 19 - 17*y + 16*y**2 - y**3. Let i be u(15). Which is greater: i or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 73, -0.2, 0.01, 1\/6, 2\/33?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69651?\nAnswer: 3, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/4)\/((-3)\/(-28)). Let r = m + -14. Solve r*u = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/n**(2\/13))\/n)*n**(-3))**(11\/2)\/((n*(n*n*(n*n\/(n\/((n*n\/((n\/(n*n*n**(1\/5)))\/n)*n)\/n)*n))\/n)\/n*n*n)**40)**(1\/19) assuming n is positive.\nAnswer: n**(-6252\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 32339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 5881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = 3*x - 184, -3*x - 8*f = x - 29 - 199 for x.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -25336, 1\/2, -0.2, 1.132 in ascending order.\nAnswer: -25336, -0.2, 1\/2, 1.132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122 - 119. Suppose -s*h - 371 = 529. What is h rounded to the nearest ten?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - y - 11 = 18, 2*l - 3*y - 22 = 0. Suppose 1340 = 3*h + 3*j + 2*j, 2*j = -10. Suppose l*a - 105 = h. What is the greatest common factor of a and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -369 + 373. What is the fourth biggest value in 2\/71, v, 2, 2\/7?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3759872271 to the power of 1\/3, to the nearest integer?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - k + 21 = 0, -36 = -2*g + 6*g - 4*k. Let x be 6\/9 + (-8)\/g. Factor 0*c + 0 + 1\/4*c**x.\nAnswer: c**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5 - 2274*q**4 - 314890*q**3 + 4144370*q**2 + 5077692*q - 8904896 = 0. Calculate q.\nAnswer: -973, -176, -2, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least as big as -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 + 9*k**2 - 20*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -873 - -876. Sort m, 3\/7, 0.1, 1\/4 in decreasing order.\nAnswer: m, 3\/7, 1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-204)\/96 + (-2)\/(-16). What are the prime factors of ((-797)\/r)\/(9\/18)?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3143 + -125769\/40. Calculate the common denominator of g and -59\/195.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 35851770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -120971.7 times -40?\nAnswer: 4838868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12172 + -7438. What are the prime factors of g?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -231*k + 760. What are the prime factors of d(-6)?\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-8\/11)\/((v\/(v**18*v)*v)\/v)*(v\/v**(3\/17)*v)\/v**24 assuming v is positive.\nAnswer: v**(-917\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4916020*n**3*w**3 - 2*n**2*w + 24459*n**2 + 2*n*w**3 - 6*w**3 wrt n.\nAnswer: 29496120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -1100\/39?\nAnswer: -1100\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {a: 2, y: 1, n: 1, p: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2394.1 to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -971 * 108\nAnswer: -104868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.7 and 36 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 11*l = 75. Suppose 5*a = 3*d + 25, 5*d - 4*d - 20 = -4*a. Suppose -3*t = -d*t - l. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 259. Let z = r - -183. Does 0 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 62*q - 37320. What are the prime factors of q?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1165083 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 9, 1\/4, -116.045, 3, -1\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*g = 8551, 18*f - 34144 = 14*f - 5*g. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3299 or 3\/23?\nAnswer: 0.3299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/4 of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.83134 - 0.16956. Let w = 8 + s. Round w to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569*a**3 + 127 - 66 - 61 + 5134*a**3.\nAnswer: 4565*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1204, 2070, 2606, 2812, 2688, 2234, 1450?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 7:26 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, l: 7, y: 1, e: 4}. Give prob of picking 1 e, 1 y, 1 a, and 1 l.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 163*k**2 + 5117*k - 5153. What is x(-120)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -654*h**2 - 1. Let d(l) = -2052*l. Determine t(d(a)).\nAnswer: -2753800416*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 205*k - 3952*k - 1449*k to the form y*k + w and give y.\nAnswer: -5196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10 + -20*(35\/28 - 1). Solve 433*y = 438*y - q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)*v**(1\/6))\/((v**8*v)\/(v\/v**(-2\/21)*v*v)))\/((v*v*v**(3\/5)*v**(4\/5))\/(v\/(v\/((v\/(v\/v**2))\/v))*v)**0) assuming v is positive.\nAnswer: v**(-2339\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-13)*t\/t**(-2\/21)*t**(6\/5)\/t**(-20) assuming t is positive.\nAnswer: t**(976\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -338415 by 20.\nAnswer: -67683\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -3*d - 9, -10 + 25 = -5*d - 4*h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n + 1. Suppose 0 = 5*q - m - 14, -2*q + 2*m + 11 + n = 0. Find the third derivative of -4*o**3 - 13*o**6 + 4*o**3 - o**q + 8*o**6 wrt o.\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/938521 and -127\/583450.\nAnswer: 328482350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 70 = 3*y, 4*w - 2 - 23 = -3*y. Is 15 a factor of 87 - (20\/(-6) - y\/(-45))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81174378 + 100?\nAnswer: -81174278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 12*z + 15. Let u be y(-10). Let w be u\/20 - (-21)\/4. Let i(c) = -c - 3. Let d be i(-6). Solve 3*n - 4 = w*n + d*a, -2*n + a = -12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 8:17 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 + -68.2. Let o = z + -8.7866. Let v = -0.007 + o. Round v to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 50)*((-217)\/(-14) - 15)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -9 + -30 + -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from daaaaaaaaaadqq.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1948 - 29183\/15. What is the common denominator of h and 36\/455?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2716, -17486 in descending order.\nAnswer: 2716, -2, -17486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*a**2*v**3 - a**2*v - 85*a**2 + a*v**3 - a*v**2 + 221*a*v - v**3 wrt a.\nAnswer: 62*v**3 - 2*v - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 19*o - 21. Let g be n(-18). Let l(j) = j**3 + 3*j**2 - j - 2. What is l(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.6 and 5972.\nAnswer: -45387.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 7:06 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 5889171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143101 is divided by 275?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5066*h - 5014*h + 3172 for h.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3554110 + -3558980.001. Let c = 4872 + w. Let p = c - 2. Round p to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*13\/(-18) - (-1)\/(-6). Let r be 18\/((-20)\/16 + j). Let g be (-9 - 9)*(-20)\/3. Calculate the highest common divisor of r and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11713588813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 49*h + 99. Let t = 11 - 8. Suppose -3 - 4 = -2*y + t*i, 9 = -3*y - 2*i. Sort -2, y, h in descending order.\nAnswer: y, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 7240.\nAnswer: -3\/7240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1016601 + 12?\nAnswer: 1016613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11.3 times 9\nAnswer: 101.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*u + 36 = 0, -5*u = 8*q - 7*q - 30. Solve 0*h + q = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-11 - (-14 - 10 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4080497*w**4 - 13456*w**2 + 2*w + 19.\nAnswer: -97931928*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-6))\/(2\/(-6)). Calculate the remainder when 88 is divided by w*30*-1*-1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10887 (base 12) to base 8\nAnswer: 52747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 20*m - 21*m. Let s(t) = 8*t**3 - 7*t**2 - t - 15. Let c(k) = -7*k**3 + 5*k**2 + k + 14. Let x(q) = m*c(q) - 6*s(q). Calculate x(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 greater than or equal to -15\/455993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36451.\nAnswer: 36451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 48*r**3 - r + 2*r + 52*r**3)*(-3 + 3 - 1) to the form l + i*r + m*r**3 + v*r**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247440957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/(-14) - 28\/98. Is -2*a\/4*-934 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from azyye.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-81)\/15*5\/(-1). Let j = x + -43. Let k = -10 - j. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 844*x**2 - 16 + 43 + 508*x**2 + 9.\nAnswer: 1352*x**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + z + 0)*(-887*z + 446*z + 97 + 443*z).\nAnswer: 2*z**2 + 97*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(832) + 4 + 3*sqrt(1872)*5)**2.\nAnswer: 1312*sqrt(13) + 349664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3475179353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 379*f**7\/21 + 3*f**4\/4 + 5*f**3\/2 - 481*f. Find the third derivative of g(q) wrt q.\nAnswer: 45480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3\/4 + 5707*k**2\/2 - 57089*k\/4 + 34257\/2 = 0.\nAnswer: -11419, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15040078?\nAnswer: 2, 139, 54101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**16)\/(w**(1\/20)*w))\/(w**(-1\/7))**(3\/13) assuming w is positive.\nAnswer: w**(29089\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 30 + 14*i - i + 77*i**2 - 76*i**2. Does 6 divide v(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3117149.\nAnswer: 7, 445307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.866 times 5?\nAnswer: -74.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.025 and -5918.\nAnswer: -5918.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzx when three letters picked without replacement from urououuxuruzuouuo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1343*m**3 - 4*m**2 - 42430 wrt m?\nAnswer: -4029*m**2 - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mue when three letters picked without replacement from wuwffumeewefewfuufu.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157 + 29. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Let l = -0.397 + 0.077. Let m = -3.68 + l. Which is the closest to w? (a) -0.1 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x - 13. What is the units digit of k(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169707607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/12*(-1)\/(-3))\/((-19998)\/(-264))?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -17. Let o(n) = -n**3 + 10*n**2 + 13*n - 2. Let q be o(11). Suppose 10*h = 5*h + q. Solve 0 = 2*y - f*y - m + h, -4*y - m = -4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 28320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2008 - -7949\/4. Let q = -7\/1346 - -24582\/3365. What is the common denominator of q and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - 21. Let u = -17.5 - 74.5. Let w = a - u. What is the smallest value in 7, 0.3, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10156 is divided by 10091.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, 4, 3, -3, -5 in descending order.\nAnswer: 5, 4, 3, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1. Let u(w) = -w + 1. Let a = 17 + -8. Let h be ((-6)\/a)\/(2\/(-3)). Suppose 4*j - h = 3*j. Calculate j*x(b) + u(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**5 + 35805*z**4 + 83042475*z**3 + 61566993715*z**2 = 0?\nAnswer: -2789, -1583, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 564938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - d = 0. Is d <= 12\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*l - 96*l = -274 - 86. Suppose -648 = -2*p - p. What is the highest common factor of l and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -349198 or -349100?\nAnswer: -349100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 76 - (47 + 68 + -51)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 31424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000022613 rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441377 is divided by 49007.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i - 52*i + 261 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 5:10 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/1060*(16 + 2 - 16). Is d bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 7949*c - 7947*c - 11, -2*x = 5*c - 27 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnmmmzsbzbnnnm. What is prob of picking 1 n and 1 z?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d**2 + 2*d**2)*(3*d**3 - 5*d**3 - d**3) + (-5*d**4 - 9*d + 9*d)*(-3 - 3*d + 3).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, q: 14}. What is prob of sequence qwq?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-688)\/(-192) - (6 - 28).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 4 - ((6 - -3 - 4) + 0)) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 871557090 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-15 - -11) - (-3 + -8 - -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1522 and 0.5.\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 275440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2324 times -0.4?\nAnswer: 0.09296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1776, 14423, 48730, 115527, 225644?\n\"Answer: 1805*o**3 + 12*o - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6614460?\nAnswer: 2, 3, 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 619 less than -5594253?\nAnswer: -5594872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7451.2334 rounded to the nearest 100?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 4*i**2 - 10 - 2*i**2 + 2*i**4 + 2*i**4 to the form o + j*i**2 + v*i**4 + l*i**3 + n*i and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10206 + -10206.36836. Round g to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -893 and -880 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 674448418 to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 24. Let q be b(-10). Let l = -1 + 0.9. What is the nearest to l in 0, q, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4)**(4\/13) assuming r is positive.\nAnswer: r**(16\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13443 + -11006. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b. Let u(i) be the second derivative of i**4\/6 + 9*i**3\/2 - i**2\/2 + 2*i - 378. Calculate g(u(v)).\nAnswer: -4*v**2 - 54*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -6\/5*n**2 + 0 + 1\/15*n**4 - 48*n + 4\/15*n**3. Factor j(x).\nAnswer: 4*(x - 1)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14976815?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.02932 weeks in milliseconds?\nAnswer: 23604932736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6 and 89\/1185?\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 10 = -7*t + 5*m, t - 2*m = -6*t + 4 - 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*a**2 + 4*a**2 - 4*a**2)*(3*a + a - a) - 2*a**3 + a - a)*(-2 - 2 + 2).\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 27 - (-215 + 264)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**5 + a**2 - a + 1. Let v(m) = -3*m**5 - 5*m**2 + m - 5. Let l(y) = 5*b(y) + v(y). Find the second derivative of l(g) wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 32*r - 7. Let x(b) = 7*b - 3. Let u be x(6). Let m = u + -37. What are the prime factors of n(m)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34691289 or -34691293?\nAnswer: -34691293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-17 + 7 - -10 - (1 + 3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 73.\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 301334 - 141334. Round c to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 749.6.\nAnswer: 752.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-16)*2\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2549340 is divided by 587?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one halves of a meter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/300*1*90\/16.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d + 0*d**2 + 97\/20*d**5 + 39*d**3 + 0*d**4 - 49. Find the second derivative of s(v) wrt v.\nAnswer: 582*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -39, 89, 4, -0.07, 8.\nAnswer: -39, -0.07, 0, 4, 8, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - (-31)\/10)\/(3\/330). Which is the closest to -0.1? (a) f (b) 5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1047*f**3 - 1 - 889*f**3 - 1064*f**3.\nAnswer: -3000*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -113. Let q = x - -128. Let k = q + -39. Which is the closest to k? (a) 1\/5 (b) -2\/23 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -236*v**2 + 239*v - 212. Give g(1).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**5 + 14*c**4 + 9578*c**3\/3 + 144004*c**2\/3 + 549535*c\/3 - 703150\/3 = 0?\nAnswer: -14, -35\/3, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -8 - 5 - ((13 - -1) + -4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 5. Let o(n) = 2*n + 5. Let u(r) = 4*i(r) + 3*o(r). What is the tens digit of u(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**3 + 1548*u**2 - 7663*u - 10. Determine w(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(49) - sqrt(49)*-3))\/(sqrt(175) - sqrt(175)*-4 - sqrt(175)).\nAnswer: 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 25*s**4\/24 + 10*s**2. Let i(l) be the first derivative of l**2 + 88. Give f(i(w)).\nAnswer: 50*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-84)\/(-22) - 10\/(-55). Suppose -r*n + 110 = 26. Let d = -12 + n. What is the lowest common multiple of d and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1377) + -1)*-1 + (-2*sqrt(1377) + 5 + sqrt(1377) - sqrt(1377)) + -3*(sqrt(1377)*2*-4 + sqrt(1377)))**2.\nAnswer: 2268*sqrt(17) + 446197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 19c5c92?\nAnswer: -19c5c91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*r - 351, -2*h = -5*r - 313 - 329. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -341 - 331?\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 13, 32, 57?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - 5*z + 60 + 53 - 45 + 40 in the form u*z**2 + v*z + n and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 - -74. What is the common denominator of -61\/8 and ((-3)\/2 + (-6)\/j)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1626 - 1158. Calculate the remainder when w is divided by 96.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12222)\/(-1596))\/((-6)\/(-4)). Which is bigger: 6 or l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619 is divided by 135?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/147602 and -23\/22022.\nAnswer: 17859842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.039 - 4.961. What is the biggest value in v, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awc. What is prob of picking 1 a and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -6 - (5 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**3 - 13*x**3 - 6*x**3 + 9*x**3.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1964 - 176. Which is greater: -2139 or t?\nAnswer: -2139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a + 1 - 72*a - 9*a as n*a + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9005\/12 - 748. Let g = y - 11\/4. Let d(m) = -m**3 - 4*m**2 - 3*m - 1. Let l be d(-3). Is l <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -201 - -355. Suppose 9*v - y = 35. Solve v = 5*r + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**7\/630 + 14*i**6\/45 + 29*i**5\/12 + 9*i**4\/2 - 11183*i**2. Factor q(c).\nAnswer: c*(c + 1)*(c + 3)*(c + 108)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 12. Let g = y - 10.79. Round g to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57046031.2 to the nearest ten thousand.\nAnswer: 57050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -176592700 to the nearest 1000000.\nAnswer: -177000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 691912103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**3 + 12*x**2 - 8*x - 11. Let j be a(5). What is the greatest common factor of 2340 and j?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 7:55 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14182 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -73 + 0*t - 55\/3*t**3 - 47\/4*t**4 + 0*t**2. Find the third derivative of v(o) wrt o.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 114. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6856 and 9848?\nAnswer: 8439736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2)\/(1\/(-7)). Let w be 1\/(-4) + z\/(-4). Let q = -121 + 120. Is w bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c + 0*c)*(-80*c + 45*c + 40*c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1658*w - 10704*w - 4 + 4.\nAnswer: -12362*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Let i = -2.5 + s. Let r = 602\/5 + -121. Which is the second biggest value? (a) i (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prg when three letters picked without replacement from vvrvgggpgv?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 214*q**2 + 2*q - 6*q**4 - 32 + q**3 + 5*q**4 - 214*q**2 in the form o*q**3 + l*q**4 + x*q + d + z*q**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 8) + (8 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7339.8 - -7340. Let q = 0.253 - -0.037. What is the biggest value in q, 4, g, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-15) - 110\/(-3). Suppose -v = -6*f + 24. What is the smallest common multiple of 6 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3438 (base 10) to base 16.\nAnswer: -d6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 3*w = 282 - 256, 2*w - 2 = -z - 0*w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1303 + -1333?\nAnswer: -3302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 713.08669 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28657 + -28328. Calculate the least common multiple of t and 2397.\nAnswer: 16779","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 5*b - 4*b**2)*(-b + 6*b - 2*b).\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 2 (c) -3\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1376947796 to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5168879, -5168866, -5168855, -5168846, -5168839, -5168834?\n\"Answer: -v**2 + 16*v - 5168894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246743214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 + 612*w**2 - 23*w + 7041. What is t(306)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30454 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 85 + -24770?\nAnswer: -246a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 11*s**2 + 9*s - 5. Suppose -4*m - 154 = 70. Let v be 688\/m - (-4)\/14. List the prime factors of y(v).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 257899668 to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b2 - -4?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 274 + -289. What is the units digit of -3*247\/p + (-2)\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -175\/1112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -164341160 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1437*x**3 + 443*x - 8. Let g(q) = 479*q**3 + 148*q - 3. Let y(j) = 8*g(j) - 3*m(j). Find the second derivative of y(t) wrt t.\nAnswer: -2874*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 66*b + 53*b - 124 = -7*g, g - 4*g + 58 = -2*b for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {v: 4, y: 5, j: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1753*y**2 + 4*y + 16. Let t(o) = 1752*o**2 - 3*o - 16. Let k(b) = 2*t(b) + 3*x(b). Let g be k(-6). Round g to the nearest one thousand.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/66 and -43\/20?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 3 (b) 2\/5 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4) - (-1 + 2\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = -35074 + 87533. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 + 5)*(-5)\/((-1755)\/6). Is b smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 + (4 + -7 - -4). Let b(p) = -3057*p**3 - 8*p**2 + 5*p + 6. Let k be b(i). Round k to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (-22 - 3) - (11 + -1) - -70?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 - 2 + 1)*(-1 - 2*u + 1) + 26339 + 170*u - 26339 to f*u + n and give f.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*h = 25, -76 = -3*g - 2*h - 1. Suppose 5*w - g + 15 = 0. What is the nearest to -4 in 5\/2, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (16 - ((12 - 11) + -7 + 10))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36846?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -6*g + 162. Suppose p + 4*v - 3*v = 0, -2*p + 5*v = -g. Let u(s) = s - 1. Let k(a) = -3*a + 5. What is p*u(m) + k(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 9*x**2 + 42*x + 251. Is i(-34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6837307um to millimeters.\nAnswer: 0.0006837307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53*b**2 - 49*b + 88 + 31*b + 18*b wrt b.\nAnswer: 106*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2*t + 25 = 0, 101*t + 97 = -5*z + 98*t for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 53*c**2 - 233*c - 108. Let t be k(-57). Sort -3\/4, 0.2, t in descending order.\nAnswer: t, 0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15982 = -43*u + 14735 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a - 112 = 51*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.203326ml in litres?\nAnswer: 0.007203326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*r**2 - 39*r**2 + 3*r**2 - 46*r**2.\nAnswer: -183*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27)\/(-9))\/(5 + -3 + -1). Solve -i - 3*a = -4*i + 9, 0 = -4*i + c*a + 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v + 12042. Let x(n) = n**2. Calculate b(x(l)).\nAnswer: -3*l**2 + 12042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -185, -447, -831, -1343?\nAnswer: -1989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3c6 (base 15) to base 14\nAnswer: -457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1141 + 1084 = -57*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5789.905 millilitres in litres?\nAnswer: 5.789905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 10*y - 6. Let o be r(-10). Let z = 0 - o. Suppose z*v = 892 + 158. Calculate the highest common divisor of 25 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**7\/3360 - 11*h**6\/1440 + h**5\/20 + h**3\/3 - 81*h - 111. Let b(f) be the third derivative of p(f). Factor b(t).\nAnswer: t*(t - 8)*(t - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 3. Suppose 23*j - 19*j + 4*q - 16 = 0, 5*j - 3*q + 12 = 0. Solve -t*i + 0*i = j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 - 9*o**2 - 6. Let f(d) = -d**3 + 4*d**2 + 3. Let u(k) = k**3 + 8*k**2 + 7*k + 5. Let t be u(-7). Let y(w) = t*f(w) + 2*z(w). Give y(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144304355 by -28860871.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16611.\nAnswer: 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5558873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 0*p - 7*p in the form m + v*p and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -cd3b?\nAnswer: -cd41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5515567\/6, -4, -2 in increasing order.\nAnswer: -5515567\/6, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 5*g - 37. Let i be z(9). Let r = 19 + -8. Let x(d) = -1 - 2*d - 6*d - r*d**3 + 3*d + 4*d. Calculate x(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5 + (-9)\/6 + 1480\/(-264) and -17\/63.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.493 to 1 decimal place.\nAnswer: -10.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -40306.\nAnswer: -27\/40306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/52, 0.09, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1358397*v**2 - 10*v + 169920.\nAnswer: 2716794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q = -48. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**2 + 2*v**2 - 6*v + 2*v + 0*v in the form k*v**2 + i*v + m and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m - 308 = 5*i, -3*i + 6*m - m = m - 35 + 170 for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -1)*5 + sqrt(11) - (sqrt(176) + 1))**2.\nAnswer: -24*sqrt(11) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/((-280)\/50) - 2. Let q(l) be the second derivative of 0 + 5\/18*l**u + 16*l - 2\/3*l**2 - 1\/36*l**4. Solve q(o) = 0 for o.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.275 + 0.29. Let b = -0.195 - 0.79. Let w = z - b. Put 0.2, -2, -1, w in ascending order.\nAnswer: -2, -1, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4756931 - -6550294319\/1377. Let d = q - 10\/81. Which is the third smallest value? (a) -2 (b) d (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*j + 6, 2*x - 4 - 3 = j. Suppose 27 = -x*u + 45. What is the hundreds digit of (339\/u)\/((1\/(-2))\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 p when three letters picked without replacement from {f: 2, m: 5, p: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 65818 at least as big as 65695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 157922812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 170 = -3*n, 0 = -12*n + 8*n - 4*y + 224. What is the highest common factor of 4290 and n?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/((sqrt(30) - sqrt(30)*2)\/sqrt(6)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2. Let u(s) = -9*s + 6. Let f be u(-1). Let l(k) = 6*k**2 - 20*k**2 - f*k**2. Determine z(l(m)).\nAnswer: 1682*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h**3 + 5*h**2 + 4*h - 2. Let w(q) = -17*q**3 + 14*q**2 + 11*q - 6. Give -11*t(o) + 4*w(o).\nAnswer: -2*o**3 + o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-3)\/t))**(-7))**(-13)*(t**0)**(-1\/23)\/(t*t*t\/(t\/t**(-2\/7))*t*t**(-1\/4)) assuming t is positive.\nAnswer: t**(12671\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991169 a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5649 (base 12) to base 16\nAnswer: 2559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2727767*a - 1426793?\nAnswer: 2727767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -176 - -416. Suppose 320 = -238*i + p*i. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -26?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0, 12792, 5.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -198*o - 20. Let v(a) = 199*a + 16. What is -6*v(x) - 5*z(x)?\nAnswer: -204*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1. Let f(y) = -4 - 2 - 3*y + 2*y. Let d(q) = f(q) + 6*r(q). Let h(k) = -2*k. What is d(h(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3*3\/(-6))\/((-6)\/48). Let j be 0 + (3 + -2)\/1. Suppose p - m = -j. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4*c**5)*(235 - 128 - 132).\nAnswer: -100*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**3 - 6*x**2 - 5*x - 6. Let n = 11 - 3. Let o(q) = n - 6*q**3 + 3 + 7*q**2 - 4 + 6*q. Let u(g) = 6*o(g) + 7*y(g). Factor u(r).\nAnswer: -r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15943?\nAnswer: 107, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 737 and 2651?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 n, and 1 k when three letters picked without replacement from {k: 2, o: 4, n: 5, b: 1, s: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23577188 divided by -5894297?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 33*k + 9. Let a(f) = -17*f + 4. Determine -9*a(b) + 4*p(b).\nAnswer: 4*b**2 + 21*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 22 + 7174*a + 5 - 7185*a + 8*a**2. List the prime factors of s(13).\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01 + -0.065. What is a rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 4. Let w(j) = -8*j**2. Determine w(o(u)).\nAnswer: -72*u**2 + 192*u - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 15, -1 in descending order.\nAnswer: 15, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5237*d**2 + 11*d - 13. Is i(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 13*g - 36. Determine h(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2976 - -5719. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 276*v**6*w**2 - 61*v**2*w**2 - 2*v**2*w wrt v.\nAnswer: 33120*v**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, c: 1, j: 5, n: 3, s: 1}. Give prob of picking 1 s, 2 j, and 1 p.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 8:09 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 109*m - 25. Let t be i(2). Let s = t - 31. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 1)\/((-77)\/(-14) - 7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/4 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -c + 3*i, 4*c - 5*i - 232 = -83. Suppose -2*l + c - 16 = 0. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24608783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4*38\/114*-6)\/((-360)\/16).\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - s + 1. Let f(q) = 2*q - 3. Determine -f(b) - 3*t(b).\nAnswer: -3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001486632183 rounded to 5 dps?\nAnswer: -0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -3, -25, -57, -99?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p**2 + 26*p**3 + 31 - 8 - 9 + p**3 - 13.\nAnswer: 27*p**3 + 16*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2012969+-1.1\nAnswer: -2012970.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 + 6 + 0 - i + i**2 - 21 to p + k*i + t*i**2 and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/7 or 0?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -501 - -822. Calculate the remainder when d is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 5*a**2 - 11*a - 16. Let v be f(7). Suppose -v*d - o = -1004, 5*d = 2*o + 744 + 248. What is the highest common factor of d and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38428 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqo when three letters picked without replacement from {j: 1, q: 1, g: 4, l: 4, o: 7, y: 1}?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -231011103 (base 4) to base 10\nAnswer: -184659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 10 = 2*r - 3*r, 45 = 4*a - 5*r. Let o(k) = -k**3 + 4*k**2 + 18*k - 64. Let d be o(a). What is the biggest value in 0, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = 4*u, -u + 65 = 5*v + 4*u. What is the remainder when 12 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*n - 173, 2*n - 184 = -4*s + 32. Suppose 0 = -3*t - q - s, -2*t - 18 = 2*q + 20. Is (12\/t)\/((-4)\/1074) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101.24415 or -2\/9?\nAnswer: 101.24415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 184 + 1955. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r + 5 + 3*r + 4*r**2 + 10*r - 3*r**2. Let n be v(-19). Solve 4 = -n*j + 4*j, -m + 3*j = -10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 211284 or 211282?\nAnswer: 211284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 87 = 4*f, 0 = 2*b - 6*b - 4*f + 112. Suppose 0 = -5*p - 2*o + 73, 5*p + o - 30 = 3*p. What is the remainder when b is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2435314092 and 348?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*i**2 + 84*i**2 + 191*i + 81*i + 28*i**2 - 36*i**2 wrt i.\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 347.6 and 1.219.\nAnswer: 423.7244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.38 + -0.05. Let r = -0.075344029 - 0.254656001. Let i = r + m. What is i rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3522, -3522, -3524, -3528, -3534, -3542?\n\"Answer: -y**2 + 3*y - 3524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 9*h - 273. Calculate the remainder when (511\/(-14))\/(3\/(-6)) is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(1\/(-1)))\/(-2). Suppose -2 = -3*t + q*t. What is the tens digit of (t\/(-5))\/((-3)\/90)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 165*d**3 - d**2 + 716*d wrt d.\nAnswer: 990*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10510 + -10512. Which is the nearest to 1\/2? (a) o (b) 0.2 (c) 1.25 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99490, 99230, 98970, 98710, 98450?\nAnswer: 98190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 16 = -q, 36*q - 12 = -2*k + 16*q + 22*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.428636751 and -0.5?\nAnswer: -0.7143183755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 168\/392 - (-1562)\/(-5376) and 37\/192.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 3*p + 7. Give k(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -10. Let n = 23 + 7. Suppose -13*b - n - 22 = 0. What is the third biggest value in 1, k, b, -2\/17?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 166, 155, 148, 145, 146?\n\"Answer: 2*d**2 - 17*d + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1203 + -10?\nAnswer: 11c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*d - 14*d + 9*d**3 - 7 in the form r*d**3 + k*d**2 + n + m*d and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 8. Let o(p) = p - 5. Let u be o(n). Let l = 27 - u. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 18 = -3*c + 2*k, 4*c + k = 26. Suppose -3*h + c = -5. Suppose o - 5*s = 2*o + 22, -3*s - 3 = h*o. What is the greatest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.4, 0.2, 106\/29.\nAnswer: 0.1, 0.2, 0.4, 106\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, z: 4, p: 6, g: 1, w: 2}. Give prob of sequence zpzp.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 6*j**2 - 6*j - 6. Let d be z(7). Let a(v) = 56*v**2 + 2*v - 1. Let x be a(d). Suppose -5*k + x - 12 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s + 32 = -36 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-18)\/30*(1 - 46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkfkkkkkkkffikk.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 + 5*s + 3. Let t(j) = 3*j**2 - 7*j - 5. Let o(p) = 7*c(p) + 5*t(p). What is o(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 12\/5, -0.5 in increasing order.\nAnswer: -0.5, -0.2, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fh when two letters picked without replacement from zfohhho?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -213\/26441 or -1?\nAnswer: -213\/26441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-10))\/((-9)\/(-6)). What is the second biggest value in -4, -2\/3, p?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**5\/60 - 3*w**2. Let c(x) = 4*x. Give c(u(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 159*g - 7*g**2 - 159*g. Let y(u) be the second derivative of -u**3\/6 - u. Give w(y(n)).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.459697 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + 3 - 5) + 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 6333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -575 by 5.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001298245311 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337303 is divided by 5522.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2561 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.08, -7, 25540\/111, 0.4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145313009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, w: 3, b: 3, e: 3, o: 5}. Give prob of sequence we.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.06 (b) 0 (c) 2 (d) -0.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 3*w**2 + 2*w + 2. Let v be z(3). Suppose 5*h - 4*o + 2 = 0, 2*h = -6*o + 4*o - 8. Let y be h + (-10)\/v*-1. Which is bigger: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 - 3 + 3 + (-4 + 3 + 0)*(12 + 6*m**4 - 12).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 7971, 0, -11 in ascending order.\nAnswer: -11, 0, 7971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3*j - 5, 0 = -5*r - 5*j + 165. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b = 4*c - 219020, 5*b - 3*c + 1095015 = 0. Round b to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4 + 104*j**2 - 151*j**2 + 4. Let q(m) = m**2. Calculate q(z(a)).\nAnswer: 2209*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*o + 4, i = o + 4. Suppose 2*l - 5*l + 165 = i. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2*m + 1\/4*m**2 + 5\/4 = 0. Calculate m.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 less than -1.5986811?\nAnswer: -1.6186811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.59 microseconds in minutes?\nAnswer: 0.0000011265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4\/4 + 948*y**3 - 449352*y**2 + 94663488*y - 7478415552.\nAnswer: -3*(y - 316)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/5 + 78*c**2\/5 - 51*c + 174\/5.\nAnswer: 3*(c - 2)*(c - 1)*(c + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 4*m - 12*m)*(3*m + 2*m - 3*m) + 2*m**2 + m**2 - 5*m**2 - 1.\nAnswer: -14*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 19, 2, -4 in ascending order.\nAnswer: -19, -4, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 86276305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/5 and -35\/346.\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -80561 - 39742. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 12*h - 27. Let b be o(8). Suppose b*z = 8*z - 663. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, 2\/7, -0.4, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1\/(-21*1)). Let l = y + -16. Suppose 0*c - 2*c - l*b = -54, 5*c - 4*b = 168. What is the highest common factor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 128 + -11 + 4 + -3?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -5573.\nAnswer: 5\/5573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0261 times 0.021\nAnswer: 0.0005481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -11, 1, 5 in descending order.\nAnswer: 5, 1, -1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -49715837.04 and -0.4.\nAnswer: -49715837.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2777 or 2779?\nAnswer: 2779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 19386000 to the nearest one hundred thousand.\nAnswer: 19400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 174673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 17 = 42. Let k = q + 6. Suppose 2*v = 9 - k. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8116125.\nAnswer: 3, 5, 23, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/6)\/(-5)*-9*(-40)\/(-3420)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3 + 10*s**2 - 66*s + 54 = 0.\nAnswer: -9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0.2, 3\/5 in decreasing order.\nAnswer: 3\/5, 0.2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {a: 2, w: 1, g: 2, z: 4, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18004198.\nAnswer: 2, 193, 46643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -215\/3 in -3, 12, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**2. Let t(g) = -9*g**2 + 3. Let h(y) = 8*y**2 - 2. Let l = 0 - 2. Let z(u) = l*t(u) - 3*h(u). What is k(z(j))?\nAnswer: 180*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16414 and 812?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4741.\nAnswer: 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 17 = -4*x - 115, -v + 5*x = -39. Let a(d) = -2*d**3 - 9*d**2 + 29*d + 47. Calculate the remainder when a(-8) is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*r - 932*r - 230*r + 44235 = 0 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -282*n**3 - n**2 + 3*n + 2. Let f be j(-1). Let h = f - 236. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 160.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + i = -26565, 26565 = 5*x - 63*i + 68*i. Is 69 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 365 = 14*h, 5*z - 2*h = -4*h - 98 + 163 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1064 (b) -0.1 (c) -28 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((-13)\/((-78)\/(-15))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10887 > -10886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 6:59 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000902141315 to 7 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 62045.3 to the nearest one hundred.\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 8*y**2 - 2*y - 10. Let f be o(-8). Let u(t) = 13*t + f*t - 8*t. Is u(2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6953600 and 3400480?\nAnswer: 8480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 0*l + 0*l)*(-2 - 2 + 6) - 2*l**2 + 3*l**2 + 2*l**2 + (-120*l - 116*l + 221*l)*(28*l - 61 + 61).\nAnswer: -413*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1350 = -18*f + 10*f + 5*f + 59*a - 175, f - 81 = -3*a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + j - 13, -101 = 5*j - 106 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m. Suppose 4 = t - m. Which is greater: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 - 38*t + 21. Let b be m(9). Solve -2*a = b*z - 0 + 1, 2*a = 3*z - 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j**(-1)*j*j))**(-45)*(j\/(j*j**(-1\/2))*j*j)\/j**5)\/(((j\/(((j\/(j*j**0))\/j*j)\/j))\/j)**(-6\/17)*j**(-4)*j**(-2\/15)) assuming j is positive.\nAnswer: j**(1013\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -22*q + 302. Let f be k(10). Suppose -93*z = -f*z - 1485. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytls when four letters picked without replacement from {l: 1, j: 5, t: 4, s: 3, y: 1}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 7*y**2 + 13*y - 51. Let b be l(6). Let q be (-5 + -1)*3\/b. Sort q, 1, -7, -3 in descending order.\nAnswer: q, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 81 - 856348?\nAnswer: -856267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**7\/105 - z**6\/24 + z**5\/20 + z**4\/24 - z**3\/6 - 3*z**2\/2 - 3. Let p(o) be the second derivative of w(o). Factor p(x).\nAnswer: (x - 1)**3*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149735422 is divided by 245.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*j + 189*j - 17 + 17 - 12*j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.786663 decades in years?\nAnswer: 37.86663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 5*r**2 + 4*r + 1. Let s be f(-3). Let d = -11 - s. Let v = -46 + 80. Calculate the remainder when v is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 9 + 91. Let r = -39 + y. Factor 17*o**3 - 3*o**3 + o + o**2 - 25*o**r + 4 + 5*o.\nAnswer: 2*(o - 1)**2*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -10. Let l = -19105 - -19104. What is the second biggest value in h, -7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 59*z**2 + 75*z + 90. Let d(o) be the second derivative of -11*o**4\/12 - 5*o**3\/2 - 9*o**2 + 24*o - 1. Let y(x) = 11*d(x) + 2*w(x). Factor y(m).\nAnswer: -3*(m + 2)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2.9 (b) -4\/7 (c) 0.3 (d) 0.07 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**5*j*((j**6*j*j)\/j)\/j*j**(-10)*j*j**(1\/8) assuming j is positive.\nAnswer: j**(-47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*a - 62*a + 1530 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.244 + -0.644. What is the second smallest value in -12, 1\/4, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -329, -318, -293, -248, -177?\n\"Answer: v**3 + v**2 + v - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1397*x**3 - 2*x**2 - 59*x - 109. What is the tens digit of f(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2\/(r\/r**(5\/3)) assuming r is positive.\nAnswer: r**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - p. Let u be l(1). Let t be (-1148)\/(-2009) + ((-4)\/56)\/(2\/8). Factor 2\/7*m - t*m**5 + 0*m**3 - 4\/7*m**2 + u + 4\/7*m**4.\nAnswer: -2*m*(m - 1)**3*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 268 + -488. Let l = -109 - x. What are the prime factors of l?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 14, v: 1}. Give prob of picking 2 a and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233122 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*f**2 + 111*f**2 + 138*f**2 + 4*f.\nAnswer: 483*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -15. Suppose 4*q - 2*q = w. Suppose 0 = 2*h - 6, 0*l = 2*l - q*h - 6. Calculate the lowest common multiple of 8 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from ejwhsffhw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3227.\nAnswer: 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/m**5)))**(-25)\/(m*m**(4\/25)*m\/(m\/(m**(2\/5)\/m))))**21 assuming m is positive.\nAnswer: m**(52206\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-8)\/(-18)*(-201)\/(-536).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.028 - 0.972. What is the third biggest value in -4, b, -2\/11, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-10 + 6 - -13 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q**5 - 32*q**4 - 8*q**3 - q**2 - 2269*q + 3 wrt q.\nAnswer: 180*q**2 - 768*q - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.047 (b) -0.1 (c) 0 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 30435519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 133861825 divided by -29\nAnswer: -4615925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (7 + 0) - -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 10035688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5 = -5*j, -5 = 2*c + 3*c - 5*j. Solve -3*s - 3*w = 6, c = -s + 4*w + 2 + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 76*g. Let h(n) = -179*n + 4. What is h(q(x))?\nAnswer: -13604*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11)\/(r*r*r**0))\/(r**(2\/15)*r**(-2\/9))*(r**(1\/2))**(-50)*r*(r**7*r)\/r*(((r**(-5)*r*r)\/r)\/r)\/r assuming r is positive.\nAnswer: r**(-12421\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000131769 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 12. Let w be l(-12). Put w, -5, -3 in ascending order.\nAnswer: -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 20307 and 20320 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152494357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**2)*z*z)\/z**(-1)*z**(-4)*z**(-3) assuming z is positive.\nAnswer: z**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 36 = -i. Let g be 3\/i - 530\/(-8). Let d = -42 + g. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 103936, 103931, 103926?\n\"Answer: -5*k + 103941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188204 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715345 is divided by 2264.\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 + 2.8. Suppose -7 - 3 = 5*j. Let z = -11 - -7. Which is the nearest to u? (a) 0.4 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 0.3 (c) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 + 19 - 19.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -213826, -427589, -641352, -855115?\n\"Answer: -213763*v - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/5 (b) 7\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -0.23618?\nAnswer: -0.23618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17 + 2)*(-63)\/45. Let b be r\/6 - 1\/2. Suppose 0*n - 4*n + 84 = 0. Solve -t - 5*p - n = b*t, -2*t - 4*p = 18 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*b + 22 = 2*v, 3*v + 2*b = -2. Suppose -r - v - 10 = -4*i, -4*r + 3*i = -4. Let k be 20\/(-8) + 2\/r. Which is greater: -3\/4 or k?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17496 - 16794 = 39*r for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 37 = 5*s - 37, -5*n = 3*s - 32. What is the greatest common divisor of s and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5*-1*(-16)\/64?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Let q(i) = -4*i. Suppose 0 = 13*l - 15*l - 14. Let z(s) = -s. Let a(w) = g*q(w) + l*z(w). Calculate a(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ohhhhhhohoo?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48210839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -169*c + 1347 + 174. Put -4, 51, c, -2 in decreasing order.\nAnswer: 51, c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129950 rounded to the nearest 1000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -9. Let f = 14 + d. Let n be ((-2)\/10)\/((-3)\/(-6)). What is the nearest to n in 2, f, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12363126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 29*z - 324. Let o be t(-46). Let s = -1835\/4 + o. What is the second biggest value in 0, 9, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134510?\nAnswer: 2, 5, 13451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.5 - -32. Let z = -9 + u. Round z to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -14*f**3 + 12*f**2 - 9*f - 6. Let h(r) = 5*r**3 - 4*r**2 + 3*r + 2. Let z(a) = 11*h(a) + 4*y(a). Give z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1053968.516 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 82993 + u - 82993.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 1 - 13) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -2.2 (c) -0.069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*k**2 - 10*k**2 + 28*k**3 + 2*k**4 - 54 + 18*k**2 wrt k.\nAnswer: 8*k**3 + 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - 23?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.9 in -0.4, -4633, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -17. Suppose i = -3*s - 0*b + 4*b + 182, 3*s - 166 = -4*b. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 4. Is 4\/v*-59*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4971904 or -9943809\/2?\nAnswer: -9943809\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -14. Suppose -8*z + 3*z = -l. What is the highest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -9*g - 22. Let j(f) = 17*f + 44. Calculate -6*j(u) - 11*x(u).\nAnswer: -3*u - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 4*o**2 - o - 1. Let y be q(-4). Suppose 2*w = y*s, -1 = 3*s - 7. Let m = 27 - 22. Solve 5*g - 2*n = -w*n + 1, -5 = g - m*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbgbbbbbbgbbggbgg. What is prob of picking 2 b and 1 g?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 10*r + 20 = 0. What is the greatest common divisor of 28 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1273 - -1278. What is the nearest to 1 in -0.29, 2\/7, y, 0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/7)*d\/(d**(-1\/19)*d*d*d*d*d)*d**(-1\/7)\/(d*(d**(-2\/41)\/d)\/d) assuming d is positive.\nAnswer: d**(-18922\/5453)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2141, 2, -1\/41, -1\/5 in descending order.\nAnswer: 2141, 2, -1\/41, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1134034 - 0?\nAnswer: -1134034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 0*k**3 + 0 + 160*k + 2\/3*k**4 + 0*k**2. Let f(c) = -21*c**2. What is f(g(n))?\nAnswer: -1344*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1352, 2179, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5190, 5192, 5188, 5172, 5138, 5080, 4992?\nAnswer: 4868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i*l**2*t*y**2 - 2*i*l**2*t*y + 3*i*l*t + 94*l**2*t*y**2 - l**2*t*y + 5*l**2*y + 5*l*t*y wrt y.\nAnswer: -2*i*l**2*t + 188*l**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 18, -23 in increasing order.\nAnswer: -23, 1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dnddddddddndddnddd.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34)\/3*-2*27. Suppose -i = 3*c + c. Is ((-4)\/(-3))\/((-6)\/c) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 990 - 2784 = 23*i. Let d = -74 - i. Solve 3*s + 5*m = d*m + 10, 4*s - 17 = -5*m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3\/357 + (19 - (-1072)\/(-56))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.34 or -320?\nAnswer: -320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*h = -2, -2*d = -3*h - 14 - 12. Suppose -d*c + 6*c + 5 = 0. Suppose c*n + 90 = 10*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52309?\nAnswer: 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u\/(u**6*u)*u)*u*(u*((((u**(-3)\/u)\/u)\/u)\/u)\/u*u)\/u)\/(u**(1\/2)\/(u*u**(-5)*u)) assuming u is positive.\nAnswer: u**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**2 + k - 1. Let u(p) = -p**2 - 3*p + 1. Suppose -12 = j + 3*j. Let m be u(j). Let y be -2*(6\/(-4) + m). Determine b(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11763 + 2976091\/253. Find the common denominator of i and -31\/138.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 652, 639, 612, 565, 492?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9.1324 times 0.1\nAnswer: -0.91324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 9*v - 3. List the prime factors of g(12).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 101556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2837, -5679, -8521, -11363, -14205, -17047?\nAnswer: -19889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) 0.5 (c) 2940\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - 35*d + 8*d + 27*d.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-898)\/(-112) - (12 - -4*5\/(-4)) and 23\/217?\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*sqrt(2))**2*-1 - ((0 + sqrt(162) + sqrt(162))**2 - sqrt(162)).\nAnswer: -576 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -81*x**4\/14 - 12*x**3\/7 - 4*x**2\/21 + 25*x. Factor d(w).\nAnswer: -2*(27*w + 2)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 11 = 2*q, 26*t = 3*q + 30*t - 20. Solve 0 = q*b - 7*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187731499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 j when four letters picked without replacement from hchhsjc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83 - 72 - -74 - 37?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {z: 6, g: 11, n: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -19*c + 5. Let l(j) = -1. Calculate -g(w) - 4*l(w).\nAnswer: 19*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*i + 11515 = -62*i. List the prime factors of i.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 2 + 6*h**2 - 4805917*h + 4806125*h to the form y*h**2 + r + q*h and give q.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9429 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -7*o + 10. Let r(d) = 2*d**3 - d**2 - d + 1. Let q be r(o). Is 1\/(-2)*(q - 795) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = s - 44, -456 - 432 = 1138*v - 1143*v - 25*s - 133 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13\/296 - -3\/37. Let q(r) be the third derivative of 0 + 0*r + a*r**4 + r**2 - r**3. Determine q(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from rkkkrkkkkrkkrkkkrkkk?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -340625 (base 7) to base 11\nAnswer: -41373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7237 + -2?\nAnswer: -7240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166\/115 + -3043\/690. Find the common denominator of 31\/18 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 3)*(m + 0*m - 4*m)*(-1 + 7 - 4) as a*m + t and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 4*u - 10. Let a be i(5). What is the greatest common divisor of 245 and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5 = 0, 5*l = 3*o - 6*o + 3848. What are the prime factors of l?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1654 - 8271\/5. Let d = 0.103 + 40.897. What is the smallest value in j, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*n + 16*n + 54 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 163 = -221. What is the common denominator of 1\/(-5) + 308\/(-40) and (-6)\/(-18) + 118\/t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5491960 divided by -63860?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9278 is divided by 868.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w - 23 + 9*w - 33*w + 11*w.\nAnswer: -3*w - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 413918?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/(v**(1\/45)*v))\/(v\/(v\/v**(-1\/44))))\/(v**35*v*v*v**(3\/5)*v*v) assuming v is positive.\nAnswer: v**(-74447\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -24020 (b) 0.4 (c) 43 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 45496?\nAnswer: 363968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/5 + 10212154*b**3\/5 - 13036006058886*b**2\/5 - 13036016271042*b\/5 = 0 for b.\nAnswer: -1, 0, 2553039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + z - 1. Let a(r) = 7*r**3 + 3*r**2 - r - 4. Let p(h) = -a(h) + g(h). Let s be p(-1). Calculate the highest common factor of s and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3304 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**4\/13 - 1656*x**3\/13 + 1762*x**2 - 92940*x\/13 + 117216\/13 = 0.\nAnswer: 3, 8, 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-12)*(3 + 1). Suppose -h = g - 3 - j, -2*g - 49 = -3*h. What is the second derivative of -h*p + 6*p**4 + 1 - 1 + 6*p wrt p?\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 580 divide 432518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*c - 2*o, 4*o = -8*c + 12*c + 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(11) + sqrt(33)\/sqrt(3) - (sqrt(704)*1 - sqrt(11)).\nAnswer: -5*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**(-10)\/l)\/l*l*l))\/((l\/(l\/(l**(2\/43)\/l)))\/l) assuming l is positive.\nAnswer: l**(557\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5082 + -5085. Which is the second biggest value? (a) -3.8 (b) 0.3 (c) f (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - w - 3*w = 16, 0 = 5*t - 3*w - 35 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(152)*2)\/sqrt(8) + -2*(-6*(sqrt(19) + -1))**2.\nAnswer: -1440 + 148*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/11526 and -19\/510?\nAnswer: 57630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oioojjojeojyo.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*c + 299*c + 10*c**3 + c**3.\nAnswer: 11*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2 (b) -0.4 (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-23)\/(-4) + 61\/244).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26775667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -0.2, -3\/8, 4, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 224?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chvxv. What is prob of sequence vh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18537, -19476, -21041, -23232, -26049, -29492?\nAnswer: -33561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/(-24) + 2)*(0 - 2)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 2:48 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**5\/30 + a**4\/2 + 3*a**3 - 4*a**2. Factor m(b).\nAnswer: 2*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19644.717 to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24257 divided by -2?\nAnswer: -24257\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -v + 10. Let s = -463\/155 - -12\/31. Find the common denominator of s and (v\/(-12))\/(6\/(-516)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115 or 0.4?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13671.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 15*s**2 - 28*s + 33. What is a(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -10. Let h be ((-6)\/4)\/((-2)\/y). Solve 4*u + 2*m = 10, -2*m = -3*u - 5*m + h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/12*(13 - 1). Suppose 3*a + d = 39, 0*a + 4*a = -t*d + 47. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -43 - 125. Suppose -k*g = -54*g - 3020. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (506\/(-8349) + (-1685)\/(-33))) + 5.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -10. Let m be (-1 - -2)\/(z\/24). Let h(y) = -y - 1. Let l be h(-4). Solve -r = -d, -l*r + m = -5*d + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31190807, 31190806, 31190805, 31190804?\nAnswer: 31190803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22930 - 22929. Let s(l) = l**2 - 7*l - 1. Let t be s(5). Which is the smallest value? (a) 5 (b) t (c) -2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -38 and -12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1346*t - 597. List the prime factors of a(-6).\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, n: 2, q: 3, e: 1, j: 7}. Give prob of picking 1 j, 1 q, and 1 n.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1687, -1720, -1753, -1786, -1819?\nAnswer: -1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 891 and 65043.\nAnswer: 65043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/(-22))\/((-25)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 74\/3 of a year?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40337 and 355699?\nAnswer: 3667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(48)*-2)**2*-1.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 6:45 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3028545 divided by -46593.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(6) - 1*sqrt(600) - sqrt(6) - sqrt(6)))\/(-2*sqrt(3872)))**2 + 4.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**4 + 306*o**2 - 3*o + 6172?\nAnswer: 8*o**3 + 612*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68618\/9 + -7632. Calculate the common denominator of (-76)\/(-23)*(-7 - 530\/(-80)) and a.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3509221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d**3 + 9*d**2 - 978*d. Let l(p) = 10*p**3 + 13*p**2 - 1469*p. What is -7*a(x) + 5*l(x)?\nAnswer: x**3 + 2*x**2 - 499*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/5355 and 91\/170?\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**6\/60 - k**5\/30 - 3*k**2\/2 - 2. Let j(m) be the second derivative of p(m). Find the third derivative of j(t) wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.072 - 28.072. Put 3, -1\/4, w in increasing order.\nAnswer: w, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpoogtdr. What is prob of sequence pgg?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-12)*l*(l*l**(2\/19)*l)\/l*l)**(-1\/39) assuming l is positive.\nAnswer: l**(13\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y. Suppose 0 = -21*p + 23*p. Suppose p = -b + 76 - 75. Let g(a) = 5*a - 2. Let i(o) = b*g(o) + 2*m(o). Let k(n) = n. Calculate -i(q) + 6*k(q).\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c + 2. Determine w(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3436*c**4 + 2763*c**2 - 26767594 wrt c?\nAnswer: -13744*c**3 + 5526*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1768 divided by 1\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 5 - 10*f**3 + 14*f**3 + 11 + 7 - 2*f**4 + 11 to the form x*f + k + i*f**4 + d*f**3 + v*f**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 11*v**2 + v - 4. Let g(t) = t**3 - 4*t**2 - 7*t - 19. Let a be g(6). Give l(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) 1 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3330 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44702.\nAnswer: 2, 7, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2131111 - 3?\nAnswer: 2131102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - 0.2. Let o = 3\/61 + -137\/305. Which is the closest to o? (a) 3\/2 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 85.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6 + 1 + 0 + 5*z + 11. Let p(k) = 6*k + 7. Determine -4*p(v) + 5*w(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*t = -1610*t + 312*t + 52437 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1800 and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5*l = 0, z + 1 = -4*l - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2209.2809 to the nearest ten.\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -31. Let w(m) = 7*m**2 - m - 2. Let z be w(-1). Which is bigger: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120121 - -102?\nAnswer: 121000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -612 + 633. What is the remainder when u is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*r - 1, r = -2*r - 4*i - 5. Let t = -4.8 - -3.94. Let x = -0.14 + t. What is the biggest value in x, r, -1.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + ((sqrt(468) - (sqrt(468) + 0)) + -3 - (sqrt(468) + -3*(sqrt(468) + -1))))**2 + 2.\nAnswer: -96*sqrt(13) + 1890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4342a - -357?\nAnswer: 43786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 2, v: 4, e: 3, l: 2, j: 1}. What is prob of picking 1 f and 1 h?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 22010*z**2. Let y(j) = -188*j**2. What is y(n(c))?\nAnswer: -91074738800*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21272538 by 3.\nAnswer: -7090846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-30))\/(12\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/14618 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12689230441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 155 (b) 1\/23 (c) -16 (d) -0.1 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1854*k + 3700*k - 1849*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292347 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/3*(-3)\/15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1425069 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 17 = k, -3 = 5*l - 4*l + 4*k. Suppose -l*s + 5 = -5. Solve -3 = s*u + u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38610 by 286.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 631, 3.7, -5, -2\/15?\nAnswer: 631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, o: 2, c: 5}. Give prob of picking 2 c.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 5*d**2 - 5*d + 5. Suppose 6 + 6 = 4*p. Suppose 38*u - 196*u = 53*u + 3165. Let f(h) = -h**2 - h + 1. Calculate p*v(w) + u*f(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 96612017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 768834 and 427130?\nAnswer: 3844170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 75*w + 2337. What is the remainder when 1639 is divided by v(-31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*y + 3, 0 = -n + 2*y - 0 - 2. Suppose p - 4 = -2*u, n = 5*u - 0*u - 4*p + 16. Suppose -5*l + 0*l = -5. Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**2 - 4. Let g(n) be the third derivative of -2*n**2 + 0*n**4 - n + 0*n**3 - 37\/30*n**5 + 0. Calculate g(o(t)).\nAnswer: -296*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5923922 by -2.\nAnswer: -2961961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62*(-70)\/(-32550) - (79\/(-30) + -2).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + -63.000366. Round w to 5 decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(6\/13)*b)\/b)\/b**(1\/3))**(-1)\/((b**2*b)**(-45))**(1\/11) assuming b is positive.\nAnswer: b**(4781\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -204*w + 201*w - 23, 0 = -2*f - 5*w - 40 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5405 + 5350. Let a be (-4)\/(-3)*87\/2. Let j = l + a. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 0*z**3 - z**3 + 7*z**2 + 6 - 3 + 3*z**2 - 8*z. Let k be x(9). Solve -4*t + 5*w = -41 + 1, -k = 3*w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from cmkkahff?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 + 51*b + 341. What is h(31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30 - 4\/(-6)*-6. Solve p - 6 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -2.4 (c) -0.02 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/20)\/(316998\/(-384240)).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2 = -4*q, 0 = 4*q + 5*c + 33 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2222 + 11990 = 101*u + 713*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d - 1. Let s(f) = -10*f - 4. Let n(i) = 3*s(i) - 5*u(i). Let h be 9\/(-2)*4\/3. Is n(h) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykt when three letters picked without replacement from ygytuky.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/2 - 39389*x**2 + 775628480*x + 4655188992 = 0. What is x?\nAnswer: -6, 39392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 85 = t, -2*y + 89 = y - t. Calculate the remainder when y is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -0.5. Let h(y) = -7*y**2 + 2*y - 4. Let t be h(-5). Let a = 557\/3 + t. Put m, 0, a in decreasing order.\nAnswer: 0, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 2, f: 1, c: 2}. Give prob of picking 1 t and 1 f.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -20.9. Suppose -2*y + 6 = y, 9 = 5*u - 3*y. Which is the closest to o? (a) u (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2503972 and 760.\nAnswer: 25039720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14208 and -1.\nAnswer: 14208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -785, -4010, -9345, -16790, -26345?\n\"Answer: -1055*d**2 - 60*d + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 7. Let q be m(-7). Suppose q = x + x - 10. Suppose 0 = 2*l + 2*i - 8, -3*l - x*i + 6 = -12. Solve -5*n - l + 2 = 3*w, 0 = w - 2*n - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - d?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5 and -616742949 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8\/11, 0.6, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1348 - 44c85?\nAnswer: -4393c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -9*n**5\/2 - 155*n**4\/2 + 561*n**3 + 1850*n**2 - 2172*n - 6160 = 0.\nAnswer: -22, -20\/9, -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-28) - (-2)\/7. Suppose -2 = -2*x + g - 2*g, x = -4*g - 6. Suppose -p = x*i - 13, 0*p - 3*p = -5*i - 6. Solve -p = -3*c - d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 + (99 - 1 - 33).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1516, 1518, 1520?\nAnswer: 1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + -2 + sqrt(13))*6.\nAnswer: -36*sqrt(13) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h = 10*r, 283*h - 556*h = -277*h + r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 - -101.894. Let y = 62.876 - 63. Let c = y + u. Round c to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79549, -318192, -715931, -1272766?\nAnswer: -1988697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1 + 1 - 3*z - 6 + 4. Let l be x(-2). Solve -l*n + 5*r + 8 = 0, 32 = -6*n + 2*n - 5*r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x. Let l(b) = -511*b**2 + 1211*b**2 + 185*b**2 + 519*b**2. What is f(l(w))?\nAnswer: -1404*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 - -83. Which is the closest to 1? (a) o (b) 0.07 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27 and 0.73801.\nAnswer: 27.73801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 75080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11132776, 11132778, 11132780, 11132782?\nAnswer: 11132784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 4 (c) -2\/21 (d) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-81)\/(-165) + (1\/20 - 2728\/19360). What is the closest to -0.1 in 2.83, -0.06, a?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 19*y**5\/10 - y**3\/3 - 7*y**2\/2 - 20*y + 1. What is the second derivative of u(z) wrt z?\nAnswer: 228*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-28) + 51\/(-4). Let z be 5 - (-1 - (-2 - 0)). Let o = z - k. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 982960 by 16.\nAnswer: 61435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2468577783?\nAnswer: 3, 7, 83, 373, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*5\/120 - 3391\/(-6)?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3575515613?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -37*w**3 + 150*w**2 - 46*w + 165. Calculate v(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 5. Suppose -5*b = -5*i - 45, j*b + 3*i + i = 4. Suppose 0 = -b*z + 4*z + 24. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 - 7 - 2*i**2 + 0*i**2. Suppose 2*j = -2*j - 5*o + 72, 5*o = 0. What is the smallest common multiple of j and d(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100907 is divided by 7434?\nAnswer: 4265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6708 divided by -250.\nAnswer: 3354\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 64515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -265 - 5?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.12+22.807711\nAnswer: 22.687711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 49. Solve -h*u + 6 = -2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55.54 - -0.46. Let p = 56.00000073 - g. What is p rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2280 + -1280. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 74682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.310344 rounded to two dps?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11572*y - 11984*y + 23049*y)*(-3*y + 2*y + 2*y).\nAnswer: -507*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o + 1023 = -16*o - 51*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 523, 514, 505, 496?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2670 and 20.\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 - 46. Suppose -15 = -2*v - n - 2*n, -3*v = 4*n - a. Suppose v*f - 12 = 4*l - 4*f, -9 = 2*l - 3*f. Sort 3, 1, l in increasing order.\nAnswer: l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-157)\/4*-4 + -1 + 0. Let w = r - -48. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -823 - -1500. Let t = g - 312. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -19*x**6\/30 - x**5\/20 + 1473*x**3\/2 + x**2\/2 - 42*x - 5. Find the second derivative of b(m) wrt m.\nAnswer: -228*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5115 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0.1739221494.\nAnswer: -2.1739221494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 6*d**2 + 4 + 4*d**3 - 6*d**3 + 2*d**2 - 10*d = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o + 22. Let f be w(-4). Let p be (4\/f)\/(6\/330). Let a(k) = -11*k**2 - 3*k - p*k**2 + 27*k**2 + 2*k - 1. Determine a(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10, -1, -0.3, -0.2, -5, -44\/47?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/24*(-3)\/(-1)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -10 + 7, -t = q - 97. Let v = 613\/6 - t. Which is bigger: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w. Which is smaller: -2\/3 or w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55.7 and 71.4494?\nAnswer: -3979.73158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 998 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 127253128 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 10*t**2 - 10*t**2)*(-295*t + 436*t + 245*t).\nAnswer: -7720*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(324)*1 - sqrt(324)))\/(sqrt(72)\/sqrt(2)))\/(sqrt(1728) - 2*sqrt(1728) - (sqrt(12) - (2*sqrt(12) + sqrt(12))*5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**8\/448 + n**7\/144 - n**6\/72 - n**5\/4 - 13*n**2. Let k(f) be the third derivative of c(f). Solve k(r) = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174)\/261*((-15)\/10)\/((-2)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {s: 2, o: 1, q: 1, k: 1, d: 13, b: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 12:07 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 7885?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**10\/t**(-2))\/(t\/(t\/(t\/t**(4\/9)))*(t\/t**(-3)*t)\/t))**12 assuming t is positive.\nAnswer: t**(268\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 - 69 + 2*f**2 + 116)*(-26*f + 170 - 170).\nAnswer: -52*f**3 + 1118*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 1\/3*g**3 - 2*g - 7\/2*g**2 + 0. Let c(z) = z - 3. Calculate 14*c(j) - 6*w(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/8*(2 + -6). Suppose 2*q - 20 = -p*q. Solve -q*y = -0*y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 - 282*u**2 + 40. Calculate j(141).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 218339 and 506?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4)*3\/(72\/64). Let d(t) = 362*t**3 + 6*t**2 - 11*t + 7. Is d(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 587, -1, 3, -3\/4, -56, -2, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23328 and 34992?\nAnswer: 69984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 12. Let y(c) = -c**3 - 5*c**2 - 5*c + 2. Let l be y(-4). Let a be l\/15 + (0 - 1). Which is smaller: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 + -31. Suppose 0*d = 5*d + 20, 2*d + s = 5*g. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, g: 4, c: 11, u: 1}. Give prob of sequence ggg.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -78.8 and 67167.\nAnswer: 67088.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241.94 rounded to the nearest ten?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -8, 0.4, -4\/7 in ascending order.\nAnswer: -8, -4\/7, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 337\/(((-8)\/(-100))\/(-2)). Let c = 13637791\/1617 + 3037\/2156. Let n = c + f. Calculate the common denominator of 10\/3 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12627*i**4 - 909141*i**3 + 21819240*i**2 - 174550464*i - 41472 = 0. What is i?\nAnswer: -1\/4209, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 36*p**2 - 15*p + 17. Let n = 19 - 13. Let d(x) = 18*x**2 - 8*x + 9. Let q(z) = n*t(z) - 11*d(z). List the prime factors of q(2).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmm when three letters picked without replacement from dmmmdmmmmm?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6336 and 292050.\nAnswer: 9345600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((3 - 1)\/(1 + -3)). Let b(f) = -f. Give b(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-7\/5)*t**6*t**(-6\/11)\/t**(-5\/2))\/((t*t*t**(1\/3))**(-32)*(t**2)**(-3)) assuming t is positive.\nAnswer: t**(30037\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.378700141 rounded to 2 decimal places?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*c, -4*d = 5*c + 1294 - 4005. Suppose -4*m + 130 + d = 0. Find the common denominator of (-28)\/(-98) - m\/140 and 13\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2. Let d(w) = 9837*w**2. Calculate m(d(x)).\nAnswer: -290299707*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -8) + -1 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 935 divided by -1973.\nAnswer: -935\/1973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*s - 28 = 0, 4*p - s + 0 + 22 = 0. Let i = 0.1 + 0.3. Let o = 1.1 - 1. What is the nearest to o in i, p, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)*d\/(d**15*d))**(-36)*(d**(1\/6)\/(d\/(d*(d*d**(-9\/2))\/d*d)))\/(d**(-2)\/d)**(1\/20) assuming d is positive.\nAnswer: d**(40849\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 k, and 1 n when four letters picked without replacement from {z: 4, k: 2, j: 1, t: 6, n: 7}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p - 6. Let f(v) = 1. Let l be (2424\/2020)\/(4\/(-10)). What is l*f(n) - w(n)?\nAnswer: 3*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -17. Let o = c - -13. Calculate the remainder when 22 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**4 + 6*z**4 + 0*z**4 + ((-z + 4*z - 4*z)*(0*z + z - 2*z) - 3*z**2 + 3*z**2 + 2*z**2 + z**2 - 2 + 2 + 2 + z**2 - 2)*(-z**2 - 3*z**2 + 2*z**2).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 2*p - 5*w, 217 - 225 = 2*p + 2*w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4369, -1.07, 5\/3.\nAnswer: -4369, -1.07, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080236629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 a, and 1 o when three letters picked without replacement from aofuojuuuuoj?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -213442215 (base 6) in base 5?\nAnswer: -1434102224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d = 5*d + 2020. Which is smaller: d or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/8*(8\/320 - 6\/(-16)). Let y = 464\/7 - 66. Let k be (-4)\/(-14) + (-5)\/(-7). What is the closest to k in v, 0.3, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -40. Is 5\/2 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39270000 to the nearest 1000000.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4054 divided by 5.\nAnswer: 4054\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -26 (b) -146 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -0.0639.\nAnswer: 0.4361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -221886, -443769, -665652, -887535, -1109418, -1331301?\nAnswer: -1553184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -40*m - 10454. Let g(f) = f**2. Calculate r(g(y)).\nAnswer: -40*y**2 - 10454","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 - 2*p**4 + p**4)*(21712 - 269*p - 21712 + (-1 + 1 + 2)*(2*p - 4*p + p)*(-2 + 2 - 4)).\nAnswer: 522*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.191608 - -150.791592. Let q = -151 + m. Round q to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41.43 times 17063\nAnswer: 706920.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3*o - 319*l**3 + 1009*l**2*o - l**2 - 2*l*o - 1007*l + 271*o - 2 wrt l.\nAnswer: 6*l*o - 1914*l + 2018*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 21 = 3*f, 4 = -0*f + 4*f + 2*g. Suppose 3*h - f*y + 8*y = 558, -4*h = -2*y - 718. What are the prime factors of h?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3289, -3283, -3205, -3019, -2689, -2179?\n\"Answer: 6*i**3 - 36*i - 3259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u**2 + 33 - 33. Let c(a) = a. What is c(n(x))?\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**(-26))\/t*t))\/t)\/((t*t**(1\/12)\/t)\/t*t)*(t*t*t**(-3)\/t)**(-27) assuming t is positive.\nAnswer: t**(947\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5112, -10216, -15316, -20412, -25504, -30592, -35676?\nAnswer: -40756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a*g*h**2 - 2*a*g*h + 19*a*g - 55*a*h**2 - 8*a*h + 8*a - 674*g*h**2 + 310*g*h + h**2 - 1 wrt h?\nAnswer: -10*a*g - 110*a - 1348*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 6*q - q**2 + 2 + 10*q**2 - 12*q**2 as n*q + o + w*q**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -174 divided by -9062\nAnswer: 87\/4531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0296 (b) 0 (c) 399\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 11:45 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -119*w - 4. Let a be j(4). Round a to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*y**4\/2 - 7041*y**3 - 37479*y**2\/2 + 7029*y = 0. What is y?\nAnswer: -1562, -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 4*y - 3*y - 1465 - 1465 - 238*y + 2932 + (-y + 4*y - 4*y)*(-5 + 2 + 1) + 3*y + 3*y - 4*y + 5*y - 5*y - y.\nAnswer: -237*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (353*q - 353*q + 94*q**2)*((3 - 1 + 1)*(4*q**3 + q**3 + 0*q**3) + 0*q**3 - 3*q**3 + 0*q**3).\nAnswer: 1128*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -0*k - 5*k, 4*x + 3 = 3*k. Suppose a - 4*a = -3*l - x, -19 = -5*l - a. Let d(o) = 7*o + 1. Is d(l) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 176799*u**3 - 14076.\nAnswer: 530397*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 106*n**2\/11 - 1158*n\/11 - 8 = 0. What is n?\nAnswer: -4\/53, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24323, -23991, -23647, -23285, -22899, -22483?\nAnswer: -22031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.46 - -26515?\nAnswer: 26624.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, v: 8}. Give prob of picking 3 v and 1 c.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpmm when four letters picked without replacement from {f: 8, p: 1, m: 6}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**3\/3 + i**2 - 2*i. List the prime factors of o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-324)\/(-8)*48\/40*5 and 189?\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**7\/735 - a**6\/420 + a**2 - 3*a - 47. Let g(m) be the second derivative of n(m). Find d, given that g(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 3*f - f)*(0 - 2 + 5 + f) + f**2 - f + f + (2*f**2 - 3*f**2 + 2*f**2)*(1 + 1 + 1).\nAnswer: 6*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 f when three letters picked without replacement from {f: 1, c: 1, q: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 5. Suppose 132 = 2*v + a*q, 3*v - 149 = 5*q + 60. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3476658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z + 68*z**2 + 96 + 6*z - 72*z**2.\nAnswer: -4*(z - 6)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 - 35\/(-10). Suppose -3 = 5*q - 33. What is the second derivative of 0*w + q - 6 + 6*w**3 - t*w wrt w?\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.2 (c) -5 (d) -1\/4 (e) 0.096 (f) 4\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*s**4 - 2\/5*s**2 + 0*s + 0 - 2\/5*s**3 + 2\/5*s**5.\nAnswer: 2*s**2*(s - 1)*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 18*t**2 + 33*t - 21. Let v be l(-16). Let j = 126 + v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 27*i**2\/2 - 6*i - 37. Let b(k) = k + k - 3*k. Let y(r) = -18*b(r) - z(r). What is the derivative of y(v) wrt v?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 - 52*q - 322. What is n(-12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*i + 7 = 0, 3*j - 38 = j - 2*i. Suppose -3*d + j = t + d, 3*t = -2*d + 16. Suppose -l + 30 = -2*b, 11 - 133 = -3*l - t*b. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4436952 to the nearest integer?\nAnswer: 2106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.63 - -4.307. Let o = -0.2848 - j. Round o to three dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 + 114353241*l**2\/4 + 817291497244410*l + 817291468656100.\nAnswer: (l + 1)*(l + 57176620)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 21 + -20 + -2 + 0 + -2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7247622 and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - d**2 - 499*d + 3 - 37.\nAnswer: -d**2 - 499*d + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1106, -5, 12, 217 in descending order.\nAnswer: 217, 12, -5, -1106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-154) - 2\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 k, and 1 n when three letters picked without replacement from {a: 1, k: 1, b: 2, n: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0279 rounded to three decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29370, -116552, -261854, -465276?\n\"Answer: -29060*z**2 - 2*z - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 + 0*f**4 - f**4)*(-1 + 1 - 2*f) - 2*f**5 + 30*f**2 + f**4 - 30*f**2.\nAnswer: -4*f**5 + f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**2*x**2 + 2*f**2*x - 62*x**2 + 397*x wrt x.\nAnswer: 10*f**2 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4135 rounded to two decimal places?\nAnswer: -2.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 100*u**2 - 14*u + 431. List the prime factors of f(9).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2984 and -0.007.\nAnswer: -20.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 14*c**2 - 35*c - 40. Let o be x(-16). Let y(a) = -a**3 + 9*a**2 - 8*a + 16. Let w be y(o). Calculate the highest common factor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/66)\/((-14)\/336*8)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -132. Suppose -2*v + h = o - 0*o, 0 = 2*v + 6. Let x = 318 - o. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**2 + 1770*j + 261075 = 0.\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24612 and 966?\nAnswer: 566076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i = -45. Let z(n) = -2*n + n - i + 57. What is the tens digit of z(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -22. Let i(y) = y**2 - 2*y**r - 26 + 31 + 92. What is the units digit of i(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztztztptt. What is prob of sequence zzt?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14 - -1) + 0\/4. Solve -4*f - m = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 120 and -2590 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p + 12. Let x be z(-15). Let m = -58 - x. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 750460 and 268875.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 127792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9353643 to the power of 1\/2, to the nearest integer?\nAnswer: 3058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(4\/(-3))\/2. Calculate the lowest common multiple of (-184)\/(-44) - (-6)\/(-33) and 8\/(-10)*(-35)\/u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n - 8. Let j(z) = -5*z + 7. Let r(p) = 3*j(p) + 2*q(p). Let t(u) = -9*u + 10. Let a(d) = -11*r(d) + 6*t(d). Determine a(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -5 + (-83)\/3*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 1 - 1)*(-1 + 0 - 1)*(-38*k + 26*k - 28*k).\nAnswer: -80*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*s - 2*s - 2*s)*(4*s**3 + 4*s**3 - 6*s**3) + 3*s**4 - 4*s**4 + 3*s**4)*(1 - 1 - 5).\nAnswer: -30*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*p**3 - 3*p**2 + 33*p**3 + 3*p**2 - 2*p**2 to o*p + i*p**2 + g + l*p**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 2*h**2 + 0*h - 4*h + 4*h + h**2 + (-5*h + 5*h - h)*(h + 2 - 2) - 2*h**2 - 2*h + 2*h + 4*h**2 - 847*h**2 - 185*h**2)*(2*h**3 + 0*h**3 - 5*h**3).\nAnswer: 3096*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 5, -1, -2, 1980?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 154\/(-385) - (-2 - 27\/(-20)) - 2\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {i: 1, e: 2, f: 1, g: 1, l: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3647 (base 13) to base 4\nAnswer: -1313300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164 + -20. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7252 + 10*t - 4*t - 7205 - t**2. Calculate x(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -242 - -345. Calculate the remainder when t is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 - -15)\/((-4)\/(-58)). Let y = 8 - o. Is -2\/7 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/12 - (-1 + 2\/3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -35. Let a = h + -12. Calculate the least common multiple of (-7 + 3)*(-10)\/4 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 11, 0.9, -1 in increasing order.\nAnswer: -1, -3\/7, 0.9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.325 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from {f: 1, s: 2, a: 1, c: 3, l: 7}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 11*a**2 - 10*a + 3. Let l be y(10). Let x(q) = -q**3 + l - 2 - 4*q**2 - 3 + 1. What is x(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-8))\/(-5) + (-2290)\/(-16). Let p = -3 + 16. What is the greatest common divisor of p and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -27\/61, -5, 1\/170?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 8*q - 3 - 7 + 4 - 4 - 1 + q**2. Determine t(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 182 - ef6?\nAnswer: -d74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 212688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 25*q**2 - 2*q - 30*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -9.1. Which is the second biggest value? (a) 3\/7 (b) r (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/54*(3 + -9). Sort -14, 0, -4, 5, d in ascending order.\nAnswer: -14, -4, 0, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 121?\nAnswer: 10\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 845 divide 4942622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*r**4*t + 2*r**3 + 127523*r**2 - 12729749*t wrt r?\nAnswer: 24*r**3*t + 6*r**2 + 255046*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 - 450*y + 8721. Calculate j(18).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16\/(-1 + 5) - -113.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 452 divide 1112372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -299 (base 10) in base 6?\nAnswer: -1215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*q + 8. Suppose q*u + 19 - 64 = 0. Let c be u + ((-3)\/1 - -1). Calculate the greatest common divisor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 8. Suppose a - 4*m + 17 = 0, r = 3*m + 2*m - 25. Suppose -2*z + z + 3*h = -55, a*z = -3*h + 129. Calculate the remainder when z is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00537 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n**2 - 13*n - 16. Let h(o) = -12*o**2 + 14*o + 16. Let w(j) = j**2 + 5*j - 2. Let i be w(-4). Let y(d) = i*l(d) - 7*h(d). Solve y(f) = 0 for f.\nAnswer: -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/18132 and 63\/3022.\nAnswer: 18132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzv when three letters picked without replacement from {r: 1, m: 6, z: 6, v: 4}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685929.\nAnswer: 3, 23, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3 - 4 - 96*m + 5 + 3 to x*m + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -16 (c) 9 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*((f\/((f\/f**3)\/f))\/f)\/f*f**(-12)\/f*(f**(-2\/9))**36 assuming f is positive.\nAnswer: f**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13403021 - -102?\nAnswer: -13402414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3708*q**2 - 1207*q**2 - 1201*q**2 - 1244*q**2 + 2.\nAnswer: 56*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-2 - -3) + (-7 - (-1 - 0))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -56*h + 32. Let g(o) = -o - 1. Let n(t) = t - 1. Let s(z) = -g(z) + 4*n(z). Let i(r) = -32*s(r) - 3*u(r). Let f(c) = -3*c**2. Give f(i(p)).\nAnswer: -192*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/24551008 or 1?\nAnswer: 5\/24551008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**(1\/19)\/m)\/m*m*m**(-2\/23))\/(m**(-1\/3)*m**(-1)) assuming m is positive.\nAnswer: m**(1703\/1311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62b (base 14) to base 12.\nAnswer: -853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j. Let o(q) = -2*q**2 + j*q**2 + 11*q**2. Let g(k) = -2*k**2 + 2*k - 2. Let t(u) = 2*u**2 - 3*u + 3. Let b(x) = 3*g(x) + 2*t(x). Give o(b(f)).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 - 11*n**2 + 12*n + 76. Let b be d(-4). Suppose -4*w = 6 + 14. Sort -2, b, w in ascending order.\nAnswer: b, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300 (base 4) in base 6?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**2 - 8*v**2 - v**2 - 3*v**2 + v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, -4, -65, -19 in descending order.\nAnswer: 11, 5, -4, -19, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*20\/(-24) + 431\/(-1). Let b = 199 + t. Which is bigger: b or -236?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - b - 99 = 0. Let l = b - -16. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 19*o**2 + 8. Let i be z(-6). Is 2\/(-4) - i\/(-8) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*b - 24 = 59*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2*-17*(-33)\/(-2244).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*i**2*v**3 - 21*c**2*i**2 - c*i - 3*c*v**3 - 3*i**2 + i*v**2 wrt c?\nAnswer: 4*i**2*v**3 - 42*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10\/9 (b) 0.06 (c) 664\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1. Let p(d) = -d**3 + 4*d**2 + d - 4. Let k be p(4). Let w = 31.784 - 31.684. Which is the nearest to g? (a) w (b) -0.05 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/17 (b) -3\/7 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/(-105) - 6\/10. Sort 3, -76, d in increasing order.\nAnswer: -76, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 507?\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -289*m + 280*m + 3852. List the prime factors of m.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 440 - 440. Suppose v = -q + 1, -10*s + 14*s + 3*q - 3263 = 0. What are the prime factors of s?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 0*r + 70 - 72 + 3*r - 4*r. Let y(x) = 3*x + 4. Give -5*w(b) - 2*y(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10155421 (base 6) to base 9\nAnswer: -500224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f098 + -22?\nAnswer: -1f0ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96233249 - -117.326.\nAnswer: -96233131.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 at most 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + 48. Suppose -a + 218 = u. What are the prime factors of a?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 667 - 667 + 2*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 133*x**2 - 5. Let w(q) = -131*q**2 + 8. Determine 6*s(z) + 7*w(z).\nAnswer: -119*z**2 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 41*h**3 + 11*h**2 + 4 + 36*h**3 + 3*h. Let i(y) = -3*y**3 + 7*y**2 + 2*y + 2. Let v(a) = -7*i(a) + 4*m(a). What is v(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 10 = -3*l, 3*z - z + 420468 = -5*l + 420491 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 153 and 187?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -364, -724, -1172, -1696, -2284?\nAnswer: -2924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93 or 353229?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**3*f*h + 3*a**3 - a**2*f + a*f + 2*a*h - 2*f*h + 2 wrt a?\nAnswer: -18*a*f*h + 18*a - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/153405 and 49\/26298.\nAnswer: 920430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*s - 2*v, -5 + 2 = 3*s + 4*v. Suppose s*c = -3*c + 210. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -201, -118, -5, 2, 6 in descending order.\nAnswer: 6, 2, -5, -118, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 16855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -4, -34, -156, -382, -724, -1194, -1804?\nAnswer: -2566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b + b**2 - 4*b)*(-5 - 8 - 1) to u*b + d + f*b**2 and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.5 + -8. What is the closest to -0.1 in v, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 0.5 (c) 0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -36. Let u = d + -5. Suppose -5*a - u = n - 0, -3*n + 2*a = -61. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)\/(i\/((i**(1\/5)\/i)\/i)))\/((i**(-6)*i*i)\/(i\/((i\/(i\/i**4))\/i))))**31 assuming i is positive.\nAnswer: i**(-279\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -49 and -47 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -54.9 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 34271?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 279290224 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: Does 14 divide 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4722.001 - -0.84738?\nAnswer: 4722.84838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125455\/93 - 1349. Which is the nearest to -0.1? (a) l (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.04 minus 403?\nAnswer: -406.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154830986*f + 82742818.\nAnswer: 154830986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 73*l**2 - 331*l - 22. Is 53 a factor of z(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 e, and 1 n when four letters picked without replacement from {e: 2, n: 3, y: 1, w: 1, f: 3, u: 7}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i**2 + 18*i - 2. Let l(c) = 5*c**2 - 18*c + 2. Let o(z) = -2*g(z) - 3*l(z). What is the second derivative of o(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*d - 55 = 0, 3*l = d + 19 + 42. Let o(c) be the second derivative of -7\/3*c**4 + l*c - 10*c**2 + 0 + 1\/5*c**5 + 22\/3*c**3. Factor o(s).\nAnswer: 4*(s - 5)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -105*t**3 - 3203*t - 3636109 wrt t?\nAnswer: -315*t**2 - 3203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 105.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8276\/7 - 132801\/112. Find the common denominator of -87\/292 and r.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b + 4 = -21*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**4\/x*x)*x*x**(-1))\/(x**1)**(2\/47))**(-5\/11))**(-3\/19) assuming x is positive.\nAnswer: x**(-195\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 43*j - 24. Let z(v) = 26*v. Calculate -2*p(u) + 2*z(u).\nAnswer: -34*u + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121909*h**3 + 56*h - 1274 wrt h?\nAnswer: 731454*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1725\/(-75))\/23*(-2)\/(-49)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2126064 and 14.\nAnswer: 14882448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 137450223 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: Suppose 712*a + 118188 = 715*a. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5\/6)*c)**(-21)*c**(-5\/2)\/c**(-16) assuming c is positive.\nAnswer: c**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1527 divide 34075005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -5. Let c be 30\/o*(-4)\/(-6). Suppose z + 4*i - 16 = -z, z + c*i - 11 = 0. What is the remainder when 21 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -533 + 902. Let d = -114 + b. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1423087?\nAnswer: 17, 97, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.7 - -4. Let i = -22 - -111\/5. Which is the closest to 0? (a) 2\/9 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000001451 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k + 5*r + 4 = 0, -5*k + 14 = -r. Suppose -k*i + 9 = -6. Let a = -121 + 127. Solve 2*b + 30 = -2*l + a*l, i*l - 30 = b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114 + 179. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**4\/24 - 11*u**2. Let g be t(-1). Solve -c = -g + 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than 1.92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 0) + -5 + 2 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y**2 - 5*y + 4. Let w be i(3). Suppose 0 = w*b - 39*b - 12. Solve l = 4*f - 15, -5*f + 2*f - b*l = -30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8005\/156 + 154\/3. Let w = g + 3\/13. Which is smaller: 0.3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31551377, 31551375, 31551373?\nAnswer: 31551371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**3*w**2 + j**3*w - 5*j**3 - 317329*j**2*w**2 + 31*j*w - 28 wrt w.\nAnswer: 6*j**3 - 634658*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + sqrt(500) + -3 + (sqrt(500) - (-1 + sqrt(500))) + 3 + sqrt(500) + -2)**2.\nAnswer: -60*sqrt(5) + 4501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -y - 2*v - 22, -3*y = -5*v - 28 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 4)*(73 + 39 - 12)*((0 + 3 - 5)*(2*q + 4*q - 4*q) - 4*q - 3*q - 3*q) to n*q + g and give n.\nAnswer: 1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1045, -1051, -1057, -1063?\n\"Answer: -6*n - 1039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 95*l + 32 = 100*l, 4*w + 3*l = 39 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -34*g**2 - 4*g - 1. Suppose -6*z + t - 6 = -7*z, -2*z = -2*t + 4. Let l be d(z). Let f = l + 332. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 7*i = 3*o - 126, -4*o - 404 + 442 = -3*i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 m when three letters picked without replacement from {s: 1, t: 1, m: 2, h: 1, n: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199*y**5 - 142*y**3 - 40*y**2 - 4171*y + 170.\nAnswer: -3980*y**3 - 852*y - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 = 2*c. Let o be 2 + 15*4\/6. Suppose -2*y + 6*y = o. Is c greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 + -66. Suppose 5*j = -5*y + 140, 4*j - 25 = q*y - 153. Solve -2*m - 4*w - 22 = 0, -5*m - 2*w - y = 3*w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 15. Let z be h(-12). Let g be (7\/((-21)\/18))\/(-2). What is the highest common divisor of g and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**2 + 2*s - 4. Let n(h) = 4*h**2 - 2*h + 3. Give -5*f(o) - 6*n(o).\nAnswer: o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 692761.\nAnswer: -3\/692761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -35*h**2. Let p be x(-1). Let s(c) = -c**2 + 18*c - 73. Let y be s(8). Let r = y - p. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*(-14)\/(-7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1297293195.\nAnswer: 3, 5, 11, 67, 239, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45807, -45896, -46047, -46290, -46655, -47172, -47871, -48782?\nAnswer: -49935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r + 2*r + 11*r)*(2*r**2 + 0*r**2 + 0*r - r).\nAnswer: 12*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (1 + -6) - (2 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10173 - 9543. Solve g*k + 36 = 636*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s + 22. Calculate v(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 569*p**3 - 3*p**2 + 83*p + 9929. Let m(y) = -2*y**3 - 9*y + 1. Let u(w) = -l(w) - 9*m(w). Find the first derivative of u(v) wrt v.\nAnswer: -1653*v**2 + 6*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.6 or -2625.9?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - -86. Let v = 109 - s. What is the units digit of 146 + 2 + (v - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 - 2*g + 2. Let o be q(2). Let l(f) = -o - 3 - f - 2. Let v be l(-15). Sort v, 3, -2 in decreasing order.\nAnswer: 3, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191609961 to the nearest integer?\nAnswer: 13842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 - 0.3. Let x = 140 + -139.986. Let h = x + 2.986. Which is the biggest value? (a) -5 (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 498*a**6 + 20624*a**4*o + 247*a**2*o - 10553*a*o wrt a.\nAnswer: 59760*a**3 + 494976*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 11:26 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lelellee. Give prob of sequence ll.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2915 and 21889?\nAnswer: 1203895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 885 + -884. Let a = -2 - -4. Sort 0.1, r, a in decreasing order.\nAnswer: a, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2037, 1, -59 in descending order.\nAnswer: 2037, 1, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 80, 16, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 + f - 52. Let i be d(-21). Let v be (i\/15 - 6)*(-6)\/4. Let s = -44 - v. Calculate the greatest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 - -4 - (0 - -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1056, -3, 0.3791, -2\/5, 0.2 in descending order.\nAnswer: 1056, 0.3791, 0.2, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 17*d - 8493. What is f(84)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 - 15 - 8\/2 and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -972.6.\nAnswer: 389.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 54, 55, 58, 63, 70, 79?\n\"Answer: j**2 - 2*j + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/9 of a day in minutes?\nAnswer: 5120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*j - 4605 + 1588 = 4906 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 915 + -917. Is k less than -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {a: 9, t: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -402, -408, -424, -456, -510?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20965 a multiple of 429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*j**2 + 1005*j**2 + 7*j - 250*j**2 - 253*j**2 - 254*j**2.\nAnswer: -12*j**2 + 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, n: 6, s: 6}. What is prob of sequence ccn?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 z when four letters picked without replacement from dfdfzflzf?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y - 4263 + 638 = 0. Is (10\/(-6))\/(y\/(-310242)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -c + 14, 5*c - 43 = 3*c + b. Let w be 1\/(27\/15 - 2). Calculate the remainder when 278\/5 - 2\/w is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*(5 - (-23)\/23)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1128 + 2082. Is 4\/14 + h\/42 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.6 (b) 0.5 (c) 2\/615 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -44*5\/20*(2 - 7). Suppose n + 143 = -22*u. Let h(a) = a**3 + 8*a**2 - 10*a - 9. What is h(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38110981 = 51*r - 5*r + 9320501. Round r to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2070 - -3334. Calculate the greatest common factor of 80 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.076, 2, 0, 5 in increasing order.\nAnswer: -3, -0.076, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 0*t + 30. Let s be (-1)\/t - (-1)\/(-6). Solve -q + l - 1 = s, 10 = -2*l + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/7)*m**(-4\/9))\/(m**(4\/9)*m*m\/(m*(m\/(m**(1\/18)*m))\/m*m)))**(-33) assuming m is positive.\nAnswer: m**(1507\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7. Solve -2*u - 3*u + 5 = o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55547020 to the nearest integer?\nAnswer: 7453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 0*j - 2*j**2 - 7 + 3*j**2 - 2*j. Let n(m) = m**3 - 9*m**2 - 23*m + 18. Let v be n(11). Let s be q(v). Calculate the highest common factor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 36894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, 0.09, 0.13, -0.1, 11.6, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (2 + -1) - (31 + -5 + -20)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46707641 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*x + 188 - 48 - 92 = -192, i + x = 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*q + 980451 + 407549 = 0. What is the highest common factor of 32 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.773 in -3, -3.2, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10904 divided by -2.\nAnswer: 5452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 737846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 18 - 284*x**2 + 287*x**2 - 75 - x to v*x**2 + t + i*x and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29471 and 715.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/6 and 24\/336637?\nAnswer: 2019822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 27 + (-8 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 1 - -2)*1. Solve -5*i + 3*i = c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 - (4 + -6)) - 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*(200\/(-1300) - (-81)\/442)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3652 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 591 + -580 - (-730)\/(-66).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 - 0.06. Let h = -107 + 107.39. Let n = h + y. Which is the second biggest value? (a) n (b) -2\/13 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1 = 11. Let t = 9.8 - 10. What is the nearest to t in -0.5, a, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -18. Suppose i + u*i + 24 = 0. Let p be 2\/(i\/(-9)) - -1. Which is the nearest to -1? (a) 0 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, b: 3, i: 1}. Give prob of sequence xxi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/72 and -23\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -14*w**3 - 313140*w**2 + 12503186*w + 1792560 = 0.\nAnswer: -22407, -1\/7, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.15327*0.003.\nAnswer: 0.00345981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6636.304 kilograms?\nAnswer: 6636304000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - 2) + (-3451 - -3557).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 906*m*o**2 + 5*m*o + 93*m - 9*o**2 + 5*o wrt o.\nAnswer: 1812*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, n: 9}. What is prob of picking 2 q?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2212 rounded to 3 decimal places?\nAnswer: -0.221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 12010004?\nAnswer: -12004434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2349)\/(-58)*(-14)\/3. Let a = o - -189. Solve g - 4 = -a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 1 + -2)*(2 + -1). Is 16 a factor of (412\/(-10) + n)*(-1675)\/134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.057 - 0.747. Let l = s - 0.41. Let x = l + -2.8945. What is x rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47101 times -1.1\nAnswer: -51811.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2282355 and 513.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -4 (c) -3359\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*b + 2*b. Suppose -294 = -p - 2*c, 0 = 4*p - b*c + 2*c - 1216. Does 26 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b - 2. Let j(p) = -31*p + 7. Let d(x) = 7*f(x) + 2*j(x). Let q = 4 + 1. Let v = 2 + -1. Let c(w) = -7*w - 2. Give q*d(o) + v*c(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 4*b**2 - 7*b + 1. What is the units digit of y(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 90*b**2 - 84*b - 36*b**2 + 84*b to m + n*b + x*b**2 and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 14*y - 15 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 62, 130, 224, 344, 490, 662?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**5 + 192*r**4 + 738*r**3 + 1092*r**2 + 723*r + 180 = 0.\nAnswer: -60, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**7\/12600 + c**6\/180 + c**5\/6 + 49*c**4\/24 - 20*c**2. Let b(k) be the second derivative of h(k). Factor b(v).\nAnswer: (v + 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10526.48mm to centimeters.\nAnswer: 1052.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/28 - 2\/16*4. What is the second smallest value in 4, o, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21619133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*y = -146, 0*y - 4*y = -16. 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: Suppose -3*w = 28 - 1. Let k(y) be the first derivative of y**3\/3 + 3*y**2\/2 - 3*y - 23. List the prime factors of k(w).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 - 25\/50. Put -25, -2, r in descending order.\nAnswer: r, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7916570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2348 in 0.2, -2\/5, -4, -2\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -3.392?\nAnswer: -3.392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 189, 267, 345, 423, 501, 579?\n\"Answer: 78*b + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 6*(2*sqrt(5) - sqrt(5)))**2 + sqrt(5) + 5.\nAnswer: sqrt(5) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*o = -x - 4, 6 = 5*x - 2*o. Let t(f) = -5 + 4 + 1 + f**x. Let r(d) be the first derivative of -8*d**3 + 48. What is r(t(g))?\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 233988 and 2076?\nAnswer: 40479924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4. Suppose -2*k + 5*f + 46 = q, -2*k + 77 = 3*k - 3*f. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i. Let u(n) = -2. Let f = -128 + 173. Let t(a) = -45*a + 90. Let k(d) = f*u(d) + t(d). Give l(k(v)).\nAnswer: -45*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*l = 4 - 1, -4*k + 5 = 5*l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46949.9 rounded to the nearest one hundred?\nAnswer: 46900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-1 - 2 - -1 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*p - 40 = 0, 0 - 4 = 2*p. Calculate the remainder when (-4)\/(h\/(-54) - (-44)\/(-117)) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 373912, 747809, 1121692, 1495561, 1869416, 2243257?\n\"Answer: -7*p**2 + 373918*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -9697.\nAnswer: -3878.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g - 90*g**4 + 88*g**4 + 2 + g**2 + 0*g**2 to the form k + o*g + v*g**2 + n*g**3 + d*g**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 34*j = 65*j - 33*j + 16, 5*j = -10*y + 70 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 835.6386 weeks in minutes?\nAnswer: 8423237.088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + 3 + sqrt(1300) + sqrt(1300)*2 + 0)**2.\nAnswer: 240*sqrt(13) + 11716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1441 = -75*b - 56*b. What is the third smallest value in b, -15\/13, -2?\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaysawatsxaxays. Give prob of picking 1 y, 1 a, and 1 t.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 178310 + -534928\/3. What is w in 2\/3*w**3 - 22\/3 - v*w + 22\/3*w**2 = 0?\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 358750, 717501, 1076252, 1435003, 1793754, 2152505?\nAnswer: 2511256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 512 - 512. What is the closest to -83 in -3, 2, g, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 - -2) + -10 - (508 + -517)) + 2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p**2 - 908*p - 79. Determine x(-100).\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 3, d: 9, j: 1}. What is prob of sequence jd?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/3 and 64\/2481?\nAnswer: 2481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 638 + -588. What is the highest common divisor of m and 1350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcwxrrxc. Give prob of picking 1 c and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1032)\/602 + 65\/(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 21*b**2. Let p = 27 + -29. Let r(q) = 3*q**2. What is p*v(c) + 15*r(c)?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9901555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 7, 13272, 1, -0.4 in increasing order.\nAnswer: -0.4, 2\/11, 1, 7, 13272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18099906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -13*s + 9. Suppose 0 = 3*x - 6*x + 3. Let t = x - 5. What is the units digit of c(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 221727*b*i*l + 23*b*l + 800*l with respect to i.\nAnswer: 221727*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 416 = -5*x + 7*x, -2*x - 1026 = -5*m. Calculate the remainder when m is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b2b9 - -1b2?\nAnswer: 1b46b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*f = -2*w - 4, 0 = w - 2*f - 8. Let q be 1 - (-2)\/(10\/(-3)). What is the third biggest value in q, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 8 = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1463 - 813. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1856 + 879*y - 1856 + (y - y + 2*y)*(5 + 0 - 4) + y + 0*y + 12*y + (3*y - y - 3*y)*(3 - 2 + 0).\nAnswer: 893*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 2. Let p(b) = 1. Let n(t) = 2*p(t) + s(t). Let x(d) = -8*d. Calculate x(n(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-5 + 1 - ((-24 + 31 - -16) + -16))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -203*l**2. Let g(k) be the first derivative of k**3\/3 + 71. Give n(g(v)).\nAnswer: -203*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -146*x**2 + 19276*x - 534. Give i(132).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 5*r**2 + 10. Let o be m(-5). Let w = o - 0. Calculate the highest common divisor of w and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 45*d**3 + 4*d**2 - 11*d + 11. Let c(x) = 15*x**3 + x**2 - 4*x + 4. Let k = -1 - -5. Let a(q) = k*t(q) - 11*c(q). Suppose a(y) = 0. What is y?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 8:00 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 + s + 2. Let l be o(-4). Suppose -2*c + l = -v + 2*v, -4*v + 236 = -5*c. Is v a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 7 (c) 1\/5 (d) -5 (e) -0.093\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - o + o + (o + 0 + 0)*(-1 - 1 + 1) - o - 6*o + 2*o - 44*o + 59*o + 32*o.\nAnswer: 44*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34628494*-4.\nAnswer: 138513976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Suppose 0 = 3*k - 2*y - 17, 3*y - 2 + 17 = 3*k. Let b be k\/(-28) + (-18)\/(-8). Solve u = b*u - g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/(5\/(-12)). Let k = -6.83 + -0.17. Let d = 6.8 + k. Which is the biggest value? (a) d (b) 3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 + -0.1. Let y = 1 + -16. Let a be 14\/3 + 10\/y. What is the second biggest value in 2\/5, l, a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/308 and -65\/36102.\nAnswer: 505428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1580 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 4. Let y(b) = -3. Let u(q) = 4*s(q) - 5*y(q). Let j = 96 + -94. Let x be (j + 0)\/(7\/(-7)*-2). Determine u(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 4 = 2*s, 0 = 3*g - 4*s - 7. Let d(n) = 18*n**2 + 185*n + 478. Let j be d(-5). Solve -2*r = 2, -j*u = -r - g - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) -1 (b) 0.3 (c) 5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5530, -5528, -5514, -5482, -5426?\n\"Answer: m**3 - 5*m - 5526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06148 + -0.04393. Let y = d - -0.0991. Round y to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1485*f + 1488*f + 3*b + 3 = 0, -f + 40*b + 204 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22962 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11302 = 3*o - 43666. List the prime factors of o.\nAnswer: 2, 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + -3 + -2 - -7 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1523, -1514, -1501, -1484, -1463, -1438?\nAnswer: -1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1303 + 1391. What is the highest common divisor of 4312 and w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -511544.533 and 0.02955.\nAnswer: -511544.50345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -46 (b) 32 (c) -3 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -770275\/158802 + 769\/199. Let h = j + 2\/19. Calculate the common denominator of h and 73\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -3, 6, -21, -972, -2 in decreasing order.\nAnswer: 14, 6, -2, -3, -21, -972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/526599 and -49\/3.\nAnswer: 526599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4\/2 - 1418*z**3 - 8545*z**2\/2 + 39746*z = 0.\nAnswer: -7, 0, 4, 2839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 72\/5 of a decade?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292548?\nAnswer: 2, 3, 24379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.39850971 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 151*n**2*u - 18*n*u + u wrt n?\nAnswer: 302*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119055?\nAnswer: 3, 5, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 5*s**2 + 6*s + 1. Let h be j(-6). Let f = h - 2. Let n be ((-4)\/5)\/(f\/(-5)). What is the smallest value in 1, n, -3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 5*i - 14 + 6*i.\nAnswer: i + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1557 (b) 1 (c) -35.71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 645 - 636. What is the least common multiple of q and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 2. Let s be 2\/5 + (-2)\/5. Suppose s = -4*y - y. Suppose 0 = -m - 2*t - 16, y*t = -4*m + t - 28. Let b(d) = -3*d - 6. Calculate m*v(f) + 3*b(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 - -124. What is the greatest common divisor of c and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -2.68?\nAnswer: 1.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 3\/5, 11\/6, -49, 1, 8 in increasing order.\nAnswer: -49, 0.11, 3\/5, 1, 11\/6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 17*z - 135. Let w be l(-16). Solve 0 = -9*n - 12*n + w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 1 - c + 0*c**3 + 0*c. What is the units digit of d(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 738*v - 503*v - 239*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 23. What is the second biggest value in -4, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 1. Let d = 9 - 6. Suppose -2*k + k + d = 0. Let l be f(k). Solve 0*s + 6 = -l*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) 466 (c) -1\/3 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/11, 0.5, 635.117?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 39.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 222131650 or 222131651?\nAnswer: 222131651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/16)\/(7\/2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p = 25. Suppose -2*a + 19 = -p. Suppose w - a = -w. Solve -2*f = -w*f + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -371, -1491, -3357, -5969?\nAnswer: -9327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34854 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -483403, -966813, -1450221, -1933627, -2417031, -2900433, -3383833?\nAnswer: -3867231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 77 = -2*u. Let v = u + -183\/5. Factor -v*w**4 + 0*w**2 - 2\/5*w**3 + 0*w + 0.\nAnswer: -2*w**3*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 31*c + 16*c - 178. Solve -13 = -2*z - 5*o, -3*z = 3*o - 21 + c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-56)\/(-18) + -3) + 0. Let h(k) = 12*k + 42. What are the prime factors of h(q)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13322808.\nAnswer: 2, 3, 31, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suryluryupuyyysyuyu. What is prob of picking 2 y and 1 r?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 3*q. Suppose 0*o - 4*o - q = 0. Is 5 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, t: 1, d: 10}. What is prob of picking 1 d and 1 f?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19074 and 2610894?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5487 is divided by 454.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*s - 227 = 0, -110 + 41 = -a - 4*s. Suppose 0 = -5*t + 4*b + 631, -4*t - 125*b + 494 = -130*b. Let v = t - a. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 155, 312, 469, 626, 783?\n\"Answer: 157*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-46)\/(-6) - 10\/15. Solve -z*h**3 + 145*h**3 + 243*h - 11 + 92 + 158*h**2 + 3*h**5 + 33*h**4 + 112*h**2 = 0 for h.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25\/3, 0.4, 1, -4\/5 in increasing order.\nAnswer: -4\/5, 0.4, 1, 25\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 196047365 to the power of 1\/2, to the nearest integer?\nAnswer: 14002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-4\/7)\/s*s\/(s**(-4)*s) assuming s is positive.\nAnswer: s**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = -3*c + 4*x, -3*c + 4*x = 6. Find the third derivative of -3*g**2 + 2*g**4 + 6*g**2 - 2*g**2 + 2*g**c wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2392?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 1396 = -6*m. Let d = 991 - m. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**3 + j**2 + 2110*j + 13137?\nAnswer: 6*j**2 + 2*j + 2110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-5 + sqrt(17)*-3 - sqrt(17))*6 + -2)**2.\nAnswer: 1536*sqrt(17) + 10820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*j = 98, j = -k - 2*j - 41. Let r = -45 - k. Suppose 3*l = 3*u - 6, 6*u - l = 4*u + r. Solve 3*m + 4 - 13 = u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w - 10. Let u be n(-3). Suppose -u*o + 34 = -6. Calculate the highest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79116 divided by 4?\nAnswer: 19779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93b721 (base 13) to base 5.\nAnswer: 1340441242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1134402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -2. Suppose 3*k + 62 = 4*s + 4*k, -z*k = -8. Let i(r) = -r**3 + 5*r**2 - 5*r + 3. Let v be i(3). What is the highest common divisor of s and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 58 - 3 - (-247 + 263)) + -17\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + -1)*(-27)\/21*(-259)\/222.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + 418. Let k = -451 + n. Solve -u + y - 25 = k*y, 5*y = -25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -2*l**6\/21 + 13*l**5\/35 - 3*l**4\/7 - 2*l**3\/21 + 4*l**2\/7 + 5*l. Factor t(j).\nAnswer: -4*(j - 1)**3*(5*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 77883.89 micrograms?\nAnswer: 0.07788389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 + k - 48. Let i(j) = -j**2 + 2. Calculate -5*i(t) - y(t).\nAnswer: 2*t**2 - t + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 742 and 7208.\nAnswer: 50456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-2)*(-20)\/15. Suppose -48 = -b*t + 38. List the prime factors of t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (428\/(-90))\/((-10)\/(-15)) - -7\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 506 + -500. Solve -11 - 1 = -k*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/39 - (-12)\/78\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 518, 1761, 4180, 8171?\nAnswer: 14130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r. Let c(g) = 4*g. Let k(l) = 4*c(l) + 6*j(l). Let y(o) = 159*o - 114*o - 51*o. Give k(y(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -5, 1\/2, -0.5 in increasing order.\nAnswer: -5, -0.5, -0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238 and 23579?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.06 and -0.19177.\nAnswer: -0.25177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 15 = 0, -4*p + 5*l = 2*l - 29. Suppose 0 = 5*o - 25, -5*r - 15 = 2*o - p*o. Let u(s) = -s**3 + 36. Determine u(r).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1100)\/(-350) + 24\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1544*j**4 + 1291*j**4 - 457*j**2 + 376*j**4 + 782*j**4 wrt j?\nAnswer: 21720*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 25 - 19 - 12*v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -781 = -3*p + 1061. What is the smallest common multiple of (-3*6\/(-9))\/(7\/14) and p?\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 561744 by -1328.\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**4\/24 + 5*x**3\/6 - 3*x**2. Let f be p(-3). Suppose 3*d = 5*s - 1, -4*s + 4*d - 2*d + f = 0. Is s at most 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27470.85 + 27471. Let v = 144 + -79. Let p = v - 193\/3. Does i = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.259 take away 211.492?\nAnswer: -211.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 295 divided by -232\nAnswer: -295\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 224435573?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4240 + 4241.289. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -743878 or -14133690\/19?\nAnswer: -14133690\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24, -16, 3, 5, 0.3, 6\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(2450)*3 - 6*(sqrt(1250) + -2))**2.\nAnswer: 1440*sqrt(2) + 7342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008206 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 - -43. Suppose 5*l = -g + 14, 46*l = 43*l - 3*g + 18. Which is the nearest to -1? (a) -0.2 (b) l (c) w (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 21 = -h, 3*f + h - 39 = f. Is 20 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1050 - 159 + 449 = -335*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 31 - 9 = -2*a, 0 = 2*r + a - 25. Suppose r = 2*f + 2*q, -5*f - 7 = -4*f - 3*q. Let s(z) = z + 1 - f*z + 4. Calculate s(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8772.64+-59.9182141\nAnswer: 8712.7217859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10992.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0050133 rounded to 4 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -189216.931 - 1629949.\nAnswer: -1819165.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 241959 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 2*n + 885 = 0. Let c = 288 + n. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1154 + 217. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 32*a**2 - 27*a - 70. Does 6 divide v(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1313 + 1331. What is the least common multiple of i and 2700?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*y**5 - 10*y**4 + 25*y**3 + 10*y**2 = 0. What is y?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 2 - 103*y - 14 as g + q*y and give q.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003080082 rounded to 6 dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 80997 divided by -2793?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37183671997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -163 - -162.94. Sort 3, 15, z in increasing order.\nAnswer: z, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*4*(-4 + sqrt(605)*1 + 4))**2 + -5.\nAnswer: 8711995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*(12\/(-9))\/((-39)\/(-9)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 4*w - 4. Let n(o) = -o**3 + 3*o**2 - 1. Let m be n(3). Let h be (m + 2)\/(2 - 1). Let l be h + (-12)\/(9\/3). Calculate j(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35337.63ng in milligrams?\nAnswer: 0.03533763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1017843 * -2.\nAnswer: -2035686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 216.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 56789 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8493912299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 2*o**2 + 2*o**2)*(-5*o**2 + 5*o**2 + o**2) + o**4 + 2*o**4 + 2*o**4 + (0*o + 0*o + o**2)*(2*o**2 - 6*o**2 + 3*o**2).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*x - 12 = 0, 5*i - 4*x = x. Suppose 5*o + 5 + 0 = 0. Let y be -9 + 13 + 1*o. Solve i*b + y = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 284\/14615 - -3\/395. Let o = p - -35\/74. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 363629 and 574.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -3*d**4\/32 + d**3\/4 + 3*d**2\/4 - 3*d - 15. Let i(r) = 0. Calculate r.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - x**2 + 2*x + 3. Give k(6).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**5\/20 + m**3\/6 - 2*m**2 + 252*m - 248. Let p(k) be the first derivative of q(k). What is p(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 6:34 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 272391 >= -2.57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1152\/(-1280))\/((-14)\/(-280))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, r: 1, b: 2, c: 2, t: 8}. What is prob of picking 2 b, 1 t, and 1 g?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8958, -36262, -81908, -145896?\nAnswer: -228226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1039 + -5a9?\nAnswer: -15e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 8) to base 13.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26647, -26796, -26945, -27094, -27243, -27392?\n\"Answer: -149*q - 26498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 860.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43 + -109761?\nAnswer: -1097a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5 - 40*t**4 - 1936*t**3 + 54272*t**2 - 215776*t - 1843072 = 0. What is t?\nAnswer: -34, -4, 14, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(8001\/798 - 10).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q - 2. Let f(g) = -g + 1. Determine -3*f(r) + x(r).\nAnswer: -r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 156013501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 8*m + 5. Give k(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -2*a**4\/3 + 10*a**2 - 21*a. Differentiate f(z) with respect to z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, 138, -4, 3, -2\/9, 82001?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 282210\/207 + -8 + 2 + 8. Factor 256*r - a + 1\/3*r**3 - 16*r**2.\nAnswer: (r - 16)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p + 6777 = 25*p. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 286, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 6*n - 99 = 0. Let c be (3 - 5)*n*1\/(-2). Let m(y) = -y**3 + 10*y**2 - 4*y - 31. Is 7 a factor of m(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32690616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/1219 and 49\/331683.\nAnswer: 17579199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 372 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 427*v - 7730. Suppose 4*c - 12 = -2*o + 30, 25 = -5*c. Let k = -19 + o. Calculate the remainder when j(19) is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.4689 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3\/2 - 9841*f**2\/2 + 202561*f - 197640 = 0. What is f?\nAnswer: -9882, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s + 2. Suppose g = -31*g - 96. Determine f(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17165?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -33332628 <= -33332625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35498 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: Let n(z) = 3*z**3 + 54*z**2 - 3*z + 18. What is n(-18)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**4\/2 + 2*d**3 - 9*d**2 + 10*d + 77. Factor b(v).\nAnswer: 2*(v - 1)**2*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 161 - -175736?\nAnswer: 176007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 279163843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36605.62 or -4?\nAnswer: -36605.62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**5*v + 2*u**3*v**3 + u**3*v**2 + 82*u**2 + 3*v**3 wrt u?\nAnswer: -180*u**2*v + 12*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -15 - 5*r - 4*r + 6*r. Let i be t(-7). Let a(p) = -p + 2. Calculate a(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/7 < -3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6716566?\nAnswer: 2, 1033, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12568 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + 1 - (3 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/32 - 17\/32. Let l be 8\/20 + (-2)\/(-10). Let n = -266353 + 266351. Which is the biggest value? (a) n (b) 0 (c) p (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/16*(-450)\/15225*(-36)\/54?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, v: 1, g: 1, j: 1, l: 1}. What is prob of sequence jp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -216889743*o**3 - 726576*o**2 + 2*o + 4?\nAnswer: -1301338458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 454*t + 1526 wrt t?\nAnswer: 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/(7*(-21)\/(-490)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 4*x - 18, -5*x = -4*y + 17 - 45 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 5) to base 10.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389025 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 745a (base 11) to base 12.\nAnswer: 5862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -4 - (-11 - (-8 + 4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 192 = -0*s. Suppose j - 4*j - 4*w = 115, -j - 3*w - 45 = 0. Calculate the common denominator of (-44)\/3*j\/s and -21\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 0 - 2)*(-p + 0*p + 0*p) - 49*p + 209*p + 17*p)*(4 - 4 + 2*p**2 + (1 - 3 - 5)*(4*p**2 - 2*p**2 - 4*p**2)) as t*p**2 + u + s*p**3 + y*p and give s.\nAnswer: 2816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 8*f + 17. Let b be t(4). Let q = 7 - b. Let c be (9 - q) + 0\/1. Solve 0 = -c*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 18) + -3 + -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3)\/o)**(3\/52))**(-44) assuming o is positive.\nAnswer: o**(132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8018671 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -175.377 - -0.377. Let m = -206 - y. Is -0.1 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from {z: 1, r: 2, a: 1, v: 1, u: 2, n: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from igiiivzviddvvvvvvid.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3\/7 + 24*z**2\/7 + 22*z\/7 = 0?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gaogaagoda. Give prob of sequence gado.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 113 + 3?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -2605.\nAnswer: -19\/2605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 97 + -37 + 57 - 125?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a microgram in nanograms?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2255918284?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/9 - 82540*d\/9 + 165064\/9.\nAnswer: 4*(d - 20633)*(d - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - -37)*(2264\/456 - 5)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**3 + 2*f**2 - 11*f + 7. Suppose 0 = y, -5*n + 0*n + 35 = 4*y. Let l be g(n). What is l rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 11*x - 12 = 0. Let a(p) = 158*p - 369. Calculate the remainder when a(3) is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) 0.5 (c) 0.4 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 3*m + 3. Let v be s(3). Suppose n = -v*n - 20. Let i(f) = -f. Let q be i(n). Calculate the highest common divisor of 2 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 4 = 0, 5*a - 7*a = -5*l + 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 439729\/83 + -349234363\/66234. Let j = o + -151\/6. What is the common denominator of j and 37\/42?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*j + 10, -2*j + 10 = 5*a + 2. Let y(f) = -2*f**2 - 1. Let p be y(a). What are the prime factors of 1\/3 - 78\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6b4 (base 13) to base 9\nAnswer: -1530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 465*s**2 - 433*s?\nAnswer: 930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73418?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4620 divided by 1.\nAnswer: -4620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = -109 + 119. Let h(m) = -46*m**2 + 2*m + 1. Let d(u) = -46*u**2 + 2*u. Let v(s) = -3*d(s) + 2*h(s). Is v(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jppppmpmpkppmktpp. What is prob of picking 1 m and 1 p?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 60343 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/26*(11 - -1). Let p be (y\/4)\/(2\/16). Let q = p + 13. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -64, -285, -652, -1165?\n\"Answer: -73*m**2 - 2*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -3. Let a be ((-1)\/v)\/(2\/(-30)). Let u = 10 - a. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**3 + 2*c**2 + 6*c + 4. Let i(m) = 11*m**3 - 5*m**2 - 13*m - 9. Let g be (-3)\/(11\/(-396)*-12). What is g*q(a) - 4*i(a)?\nAnswer: a**3 + 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9765.20026 + 9738.2. Let v = n + 27. Round v to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9789 + 12823. Sort q, 2, 5 in increasing order.\nAnswer: 2, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 10*d**2 + 10*d + 15. Let t be c(11). Suppose -4*p + t*s = 0, -2*p - 3 + 1 = -3*s. Solve p*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142*w**2 + 214*w?\nAnswer: 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.4367929 + 74.5348719. Let i = 0.114921 + t. Let x = -70 + i. Round x to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -31, -42?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 25*h + 82. Let w be t(-21). Let z(f) = -4*f. What is z(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a + 41. Calculate b(-25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 277260 (base 8) to base 14\nAnswer: 279ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(-8 - (7 - 16)). Which is the nearest to -0.1? (a) -2 (b) n (c) 0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 20 = -4*l, 0*c = 3*c - 5*l + 13. What is the nearest to -2 in c, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -63*l + 12275. Calculate f(208).\nAnswer: -829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36210.\nAnswer: 2, 3, 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z\/z**(-2\/9))**(-7)\/(z**(-5)\/((z\/z**5)\/z*z)*z*z**(-2\/19)*z**(-1\/3)) assuming z is positive.\nAnswer: z**(-8570\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586821*c - 586676*c + 1305 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 512, 511, 510, 509?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429390390.\nAnswer: 2, 3, 5, 11, 13, 101, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159926 - 159925.99834003. Round o to five decimal places.\nAnswer: 0.00166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -17 - -20 - (-3631)\/(-1211). Let u = 23001\/4844 + j. Find the common denominator of 3 - (133\/10 + -2) and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w - 2 + 3*w - 4*w + 6*w. Let c be j(0). Is (-1035)\/c + (-9)\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1332865961*z**4 + 4*z**2 - 137719473 wrt z.\nAnswer: 31988783064*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*s**5 - 3677026*s**4 - 459628*s**3.\nAnswer: -2*s**3*(s + 229814)*(8*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 0.13194287?\nAnswer: -0.23194287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16513*a - 68261 = 17048*a + 1289 for a.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4\/11 + 256376*a**3\/11 - 5895590*a**2\/11 = 0.\nAnswer: 0, 23, 128165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, d: 2, b: 1, o: 3, w: 7}. What is prob of sequence ooww?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -29060, 1, 11 in descending order.\nAnswer: 11, 2, 1, -29060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5738514*q**3*v*w - 402*q**3*v + 2*q**3 - 5726*q*v wrt w.\nAnswer: -5738514*q**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + n - 3)*(0*n**2 - 2*n**2 + 3*n**2)*(5*n - 3*n + n).\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137097, 137125, 137171, 137241, 137341, 137477, 137655, 137881?\nAnswer: 138161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 159 + 159. Let i = b - -226. Suppose 8 = 4*k - i. What is the highest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2479700 is divided by 1170.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*4\/(-6))\/(-135*(-312)\/(-21060)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 10*n + 24. Suppose d + 1 = -9. Let a be h(d). Suppose a = 5*c + c. Solve 0 = -2*l + c*l - 5*j + 11, 14 = l + 4*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93653 by 3.\nAnswer: 93653\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3200.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 5, 2, -1\/11, -0.17.\nAnswer: -2\/7, -0.17, -1\/11, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (75 - (-59 + 81))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -31213, -2\/17, 4 in ascending order.\nAnswer: -31213, -2\/17, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 6:42 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/2)\/(25\/50). Let l be 2*39 + (-56)\/h. Calculate the greatest common divisor of l and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-6) - (-6)\/4. Let n(l) be the second derivative of 0 - 2*l + l**2 + 2\/3*l**3 + i*l**4. What is n(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 2550777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 15. Let c(i) = i**2 + 3. Let v be c(-3). Let j be s(v). Solve 2*b - x + 2*x = 11, 5*b - j*x = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**2 - 59*j + 16. Let b be f(-29). Is 2\/5 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 + 20. Let h be ((3 - 4)\/45)\/(92\/16*108\/3726). Which is the second smallest value? (a) h (b) 1\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.9 and 0.05?\nAnswer: -0.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.028 + -0.102. Sort 1\/3, -5, p in descending order.\nAnswer: 1\/3, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m. Let x(y) = -30*y**2 + 5*y + 1. Let r(s) = -3*f(s) - x(s). Is r(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69752 is divided by 103.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-24))\/(363\/396)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 583039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + 9*j + 6. Let f(x) = -2*x**2 - 5*x - 3. Suppose 8 - 14 = -2*s. Let m(t) = s*c(t) + 5*f(t). Determine h so that m(h) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197715840.\nAnswer: 2, 3, 5, 7, 47, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*v)*(12*v**3 + 18*v - 18*v) + 44 - v**4 - v**4 - 16 to n*v**3 + j*v**2 + h + z*v**4 + t*v and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 97.30008 millilitres?\nAnswer: 0.09730008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(3*l - 10*l - 2*l)*(8 - 4 - 5).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**6\/120 + c**5\/30 - 5*c**4\/24 - 2*c**3\/3 - c**2. Suppose 5*z + 9 + 6 = 0. List the prime factors of j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -88846\/667 not equal to -134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/448 and -59\/476?\nAnswer: 7616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/60 - u**4\/12 + 2*u**2. Let z be n(-4). Suppose 2*y = -4*v + z, 50 = 3*y + v + 4. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -11 (b) 0 (c) -5 (d) 5.94 (e) -0.1 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, 11, 23, 37?\n\"Answer: x**2 + 7*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-9282)*17 - 752\/42\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*q**3 - 132*q**2 - q - 50587 wrt q?\nAnswer: 120*q**2 - 264*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 2*l + 804 = -2*c, -4*l + 8 = 0. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -2 - (-987)\/(-161). Let u = 2283269\/14030 + -9840\/61. Let t = v + u. What is the common denominator of t and 61\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - -40) + -2*13\/14\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/2 (b) 0.6 (c) -3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2. Let o(r) be the first derivative of 3*r**2\/2 + 21. Determine x(o(a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 8\/4 + -1 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 2. Let j = -31.19 - -36.19. What is the smallest value in 3\/7, j, l?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + 2 + (-1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g - 5*g)*(-g**2 + 3*g**2 + 0*g**2) + 26*g**3 - 31*g**3 - 33*g**3.\nAnswer: -44*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -56*1.1\nAnswer: -61.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:54 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 4*s + s)*(-66*s + 27*s - 25*s) + (0*s - 4*s + 2*s)*(5*s - 4*s - 3*s) + 83*s**2 - 103*s**2 + 69*s**2.\nAnswer: 181*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00351049 to 4 decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 5)*(0 - -1). Let t(c) = -2*c**2 + 40*c + 251. Let x be t(-5). Solve -s*q = -x - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-2) - (-330)\/99*(-21)\/70.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9032251 millennia to years.\nAnswer: 903.2251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 2*v**2 - 3*v - 2. Let k be f(-1). Let j be (38 + -43)*(0 - k - 3). Solve 3*n + 2*l = 3*l + 17, -3*l - j = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1150 + -480. Round x to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141 + -137. Is q at most 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 56 = 4*j, -3*w - 48 - 12 = -3*j. What is the highest common factor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, -19, -85, -177, -295, -439?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 888169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.253547 - 173541709\nAnswer: -173541708.746453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 6*a**2 - 10*a - 3. Let p be o(-7). Suppose 5*z - p = -4*z. Are 2 and z non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from {u: 4, d: 3, z: 9}?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p = -34*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*x + 106*x = 36. Let z(n) be the first derivative of 2*n - 1\/2*n**2 - 8. Calculate z(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 583121256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 - 151 + 36 + 32 + 43 + 40.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - -12*1015\/348.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000633086679 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -180, -581, -1348, -2601, -4460, -7045, -10476?\nAnswer: -14873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2047992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6104 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -20, -41, -80, -143, -236?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2071\/249 - -278\/83. Let -12 + 1\/3*d**4 - 4*d + 4*d**3 + b*d**2 = 0. What is d?\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*h**2 + 271*h**2 + 503*h**2.\nAnswer: 1028*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.1 + -12. Do l and 2\/33 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -433 + 439. Are u and 28\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6899*s**3 - s**2 + 3*s - 1. Is 75 a factor of b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 193486\/(-3261) - 43\/(-3)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 4:40 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 336, 937, 1786, 2883, 4228, 5821, 7662?\n\"Answer: 124*h**2 + 229*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -815074, -814859, -814644?\n\"Answer: 215*t - 815289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 10*f**2 - 5*f**2 + 10*f**2 - 12 - 6*f**3 + 11 as s*f**3 + o*f + t*f**2 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g + 490 = 378 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -162, -164, -166, -168, -170?\n\"Answer: -2*w - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 11 = -5. Let l(u) = 6*u**3 + 8*u**2 - 10. What are the prime factors of l(k)?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.60693 and -1.\nAnswer: -15.60693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*i**3 - 797*i**3 - 3349*i**3 - 3020*i**3 + 1152*i**3.\nAnswer: -5764*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h. Let x(d) = -2874*d**2. Determine j(x(z)).\nAnswer: 5748*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjwgyjjyjjg. What is prob of picking 2 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 636 and 3021?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-6)*54\/(-12). Let s = q - -19. Suppose -s*a + 3 = -5*n - 1, -5*a + 3*n + 18 = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**2 + 44*h - 8. Let a be s(-10). Calculate the highest common factor of 4264 and a.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89487 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/85 (b) -0.88 (c) 1\/6 (d) -4.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -11\/60*i**5 + 0 + 0*i**3 + 0*i - 1\/4*i**4 - 6*i**2. Find the second derivative of q(r) wrt r.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -92970 + 92905, -72 = 5*c + 4*p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**4\/3 - 536*t**3 + 71644*t**2\/3 + 3489616*t - 163160448 = 0.\nAnswer: -428, -88, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*g - 4 + 0*g + 14*g + (-2 - 3 + 3)*(-2*g + 5*g - 4*g) - 5 - 3*g + 5.\nAnswer: -3*g - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-35)\/45 + (-2)\/9. Put 0.5, -2\/11, f in increasing order.\nAnswer: f, -2\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*((-3)\/(-10))\/(((-368)\/64)\/(-23))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000101000011101 - -110011?\nAnswer: -101000100111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12, -1\/3, -2\/5 in descending order.\nAnswer: 12, -1\/3, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 9:59 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(308)*-2)\/sqrt(7) + sqrt(44) + (sqrt(44) + sqrt(176) + sqrt(44))*5)\/(sqrt(400) + sqrt(400)*2 + (sqrt(24)*-1)\/sqrt(6)).\nAnswer: 19*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 104.58703665767 and 0.5?\nAnswer: 104.08703665767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102465 and 305?\nAnswer: 6250365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 359245 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792 is divided by 67?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 51 = -5*c - b, -4*b = -4*c - 36. Let o be (-9 + 1)*15\/c. Calculate the highest common factor of o and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 11:40 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - s - 4. Let m(v) = v**2 + 2*v. Let t be m(-3). Let z be o(t). Let b be -2 - -2 - (-12 - -9). Sort -2, z, b in increasing order.\nAnswer: -2, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*u**2 - 3*u*y**3 + 16936*y**3 wrt u?\nAnswer: 16*u - 3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3471 * 1.2.\nAnswer: -1.61652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 8*b**2 - 12*b - 42. Let c(u) = 35*u - 599. Let i be c(17). Give r(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/8218 and 25\/4381368.\nAnswer: 30669576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-14) - 72\/(-56). Sort s, -2, 0.1, 2 in decreasing order.\nAnswer: 2, s, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -55*o**4\/12 + o**3\/2 + 2564*o. Let k(u) = -10*u. Determine k(r(m)).\nAnswer: 550*m**2 - 30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132 - -167. Let i = -31 + g. Suppose -i*k = -2*j + 24, 2*j + 2*k - 14 = 4*k. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1207254 is divided by 496.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**3 + 5*h**2 + 2*h + 5. Let r(i) be the first derivative of 2\/3*i**3 + 1 + 1\/2*i**2 + 2*i + 3\/4*i**4. What is -5*r(m) + 2*u(m)?\nAnswer: -m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 3*a**2 - 4*a - 2. Let h = 7 + -9. Let z be q(h). Solve -5*j + 5*i - 11 = -1, 5*i = -z*j - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + 5*j = 9*h - 3, 2*j = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -100, -1389 in ascending order.\nAnswer: -1389, -100, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/23? (a) -1\/3 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2203312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*u - 6. Suppose 3*i - 1 = u. Let q = 5 - i. Solve -x - q*x = -4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -1\/15*h**5 + 0*h + 0 + 27*h**2 + 1\/120*h**6 - 1\/24*h**4 + 1\/3*h**3. Give z(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-44)*1056\/(-48) - 5\/5*131.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520138 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*o + 24 = 0. Let y(v) = -v**2 - 3*v + 4. Let n be y(-4). Suppose o*h - 152 = -n*h. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 * 8.8\nAnswer: -431.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2241*g + 18415 - 18415.\nAnswer: 2241*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 + 8 + -4 - (-198)\/72. Let u = 0.9 + 0.1. Let d = 1 + u. Put w, d, 5 in ascending order.\nAnswer: w, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*a = 570 + 422. Solve -a*c - 3*p + 9 = 0, -2*c - p + 9 = 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 371526 or 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + -521576?\nAnswer: -521556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(80) + 0 + -5).\nAnswer: -12*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 3*z**2 + 2*z + 11. Let n be h(-3). Solve -5 = -3*d - r, n*d - 2*r = r + 13 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33308\/39 - 854. Let h = 473.4 - 473. Which is the biggest value? (a) 4\/9 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -375 + 377. Which is the smallest value? (a) 5 (b) s (c) 727\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**6\/120 - j**5\/12 - j**4\/12 + j**3\/2 - 219*j**2. Suppose -7 = -h - 3. Suppose 4*d + h = 24. What is l(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*m - 22 + 712 = -80 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 less than 424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/3)\/((-9)\/54). Suppose -l*w + 47 = x, -3*x - 2*w = -w - 161. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 a factor of 1614127818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4) + 1 + (-7 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131244296 is divided by 1077?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -72*i**2. Let s(x) = -8*x. Determine w(s(y)).\nAnswer: -4608*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**5\/120 + f**4\/2 + f**3 - 4. Let b(i) be the third derivative of v(i). What are the prime factors of b(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010100100100101100011 (base 2) in base 8?\nAnswer: -12444543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7029162*w + 1793427 with respect to w.\nAnswer: -7029162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -188.5 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 39, 17, 4, -44.\nAnswer: -44, -3, -2, 4, 17, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -153 + 78 + -56 + 144.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 30*g**3 - 17*g**2 + 11*g - 11. Let q(i) = 10*i**3 - 6*i**2 + 4*i - 4. What is 4*p(k) - 11*q(k)?\nAnswer: 10*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 28 = -c + 9, -c = 4*i - 81. Suppose b = 0, 4*b + i = -5*q - b. Is -4 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/16)\/(3\/36). Let o be 3\/((108\/40)\/l). Suppose -1 - 1 = 2*w. Sort 3, w, o in descending order.\nAnswer: o, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p = 12969 + 18486 + 43785. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3727 and -0.1063.\nAnswer: -0.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 14*i**2 + 16*i + 11. What are the prime factors of c(-12)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-39))\/((-3)\/63).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 155080436?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9329 or 9332?\nAnswer: 9332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from sxpssxsxxsxspxp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*z = -38, -5*q + 4*z + 61 - 9 = 0. Let p = q - 8. Let u(y) = y**3 - 4*y**2 + 3*y + 3. Let a be u(4). Solve -p*m = -a - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -364, -960, -1972, -3502, -5652, -8524, -12220?\nAnswer: -16842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/12 and -149\/99582?\nAnswer: 199164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**7\/840 - a**6\/1080 - a**5\/120 + a**4\/72 - a**3\/6 + 5*a. Let y(j) be the second derivative of c(j). Factor y(g).\nAnswer: (g - 1)*(g + 1)*(3*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 13*x - 5. Let h be n(-6). Let m = h + 51. Let o = -2 + m. Calculate the highest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -11, -4, -3841?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8217 smaller than 8218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 + -54. Suppose 0 = 3*x - 0*x - 39. Suppose 5*o + x = 3*c, -2*c = -4*c + o + 18. Calculate the remainder when m is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 320, -1, 4, 2, -2 in descending order.\nAnswer: 320, 4, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(100)\/sqrt(5)*4 + sqrt(20) + -2*sqrt(80))\/((sqrt(24) + sqrt(24)*-2*-5)\/(sqrt(48)\/(sqrt(8) + sqrt(16)\/sqrt(2) - sqrt(8)))).\nAnswer: 2*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 - -3 - (1 + -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -178 - -172. What is the units digit of c - ((8 - 2) + -593)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Let q = 8563\/16 + -535. Which is smaller: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650 = 78*z - 28*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 4*a - 172 = 9*l, 5*l - 775 = -3*a. What is the greatest common divisor of l and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 12 + w**2 - 23 + 10 - 5*w**2 + 3*w**2. Let z(j) = 53*j**2 - j - 1. What is -r(o) + z(o)?\nAnswer: 54*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 12322044?\nAnswer: 12322104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 295185724923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-6 - (3 - 14)) + -15 + -9.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - i - 16 = 0, -p = 2*i - 5*i - 15. Let h(u) = u**2 + 7*u + 8. Let m be h(-6). Suppose d - 1 = -m. Put p, 2, d in ascending order.\nAnswer: d, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -23313?\nAnswer: -23305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 85.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 33*v**2 - 20*v + 675. Determine w(33).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 10 - (5 - (-2 + 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 867 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72815868*i**3 - i**2 - 148765*i - 5.\nAnswer: -436895208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 1:01 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 + -22333?\nAnswer: -22250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68681561.\nAnswer: 13, 19, 278063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*w + 6244 = -124*w. Is w a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61977036 a multiple of 1048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(96\/(-600)*5)*164\/(-10)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 35*a + 752. What are the prime factors of u(0)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2258.\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 26*b**2 - b**2 + 62 - 123.\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.9305381 to 2 decimal places.\nAnswer: 41.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96 + -717265.\nAnswer: -717169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 34.000205. What is j rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 35*n = 40302. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24081 - 0?\nAnswer: -24081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/3 + 1018*q**3\/3 - 6270*q**2 + 28458*q.\nAnswer: 2*q*(q - 9)**2*(q + 527)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 563856*p + 2. Let w be t(-3). Let l = w + -1108434. What is l rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - n - 1. Let w be g(3). Let c be 6\/(-4)*4\/(-3). Let r be (2\/(-12)*-2)\/((-7)\/(-84)). Solve -r*x + 3 = -c*b + 17, 5*x + b = -w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-12)\/(-138)*1\/3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1228 + 19669\/16. Calculate the common denominator of -95\/4 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d - d + d)*(0*d - 4*d + 3*d) + (-2*d**2 + 4*d**2 - d**2)*(-3 + 4 + 0).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29.3338 and -31.\nAnswer: 909.3478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.6. Let r = -0.5 + 0.65. Let j = r + -0.05. Which is the closest to j? (a) p (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.831 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -161 divided by 23\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -6 (b) -0.1 (c) 1407 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -438636*g**3*n*p - g**3*p**2*s**2 - 2*g**2*n*p**2*s**2 - g**2*n*p*s**2 + g**2*n*p*s - 3*g*n*s**2 + 80*n*p**2*s wrt g.\nAnswer: -2631816*n*p - 6*p**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/3 - 4358*r**2 + 13080*r = 0. What is r?\nAnswer: -6540, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 2136.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*f + 182, -12 - 40 = -f + 3*n. Suppose -7*d - 11 = -f. Solve 0 = 3*v + 4*y - d - 3, 0 = -2*v - 5*y + 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*c = -508, -c + 2*c = 4*j + 484. Let q = -85 - j. Let m = -19 + q. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4793*o - 9499. Determine z(2).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/460 and 31\/110492.\nAnswer: 552460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*u - 4*o, 5*u - o + 6 = 3*u. Let m be 0*(-1)\/u + 11. Solve 4*t - m = 3*v - 2, 3*v = 3*t - 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -11111111111100?\nAnswer: -11111111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cgmmc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-3 + 5 - 4). Suppose -a + o = -4*k - 3, -2 = 5*k + 3*a. Which is greater: k or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4 = -2*f - 4*j, -5*f - 26 = -2*j. Let y(k) = k**2 + 4*k - 8. Let d be y(-6). Let s be (f\/d - -2) + 0. Solve -3*r = -4 + s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -8\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktwwtwtw. What is prob of picking 3 t?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -418*p - 8. Let k(i) = -423*i - 9. What is 5*k(y) - 6*l(y)?\nAnswer: 393*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2. Let n(f) be the third derivative of -f**5\/30 + 7*f**2. Let q(v) = 4*i(v) + 3*n(v). Let r(h) = -4*h. Calculate q(r(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - 0 - (17 - 11 - 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 3*h + 2. Let d be s(3). Calculate the greatest common divisor of 18 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 3. Let q be w(0). Suppose -3 = -q*j + 3. Let k = -6 + 9. Solve k = j*r + 5, -f = 4*r + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 8, 50*v - 47*v = 3*k + 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-14)*(0\/(-11))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*-0.03.\nAnswer: 0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*3\/1071)\/(13*(-12)\/(-546)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -5, -2, -3\/5, -558, -9 in ascending order.\nAnswer: -558, -9, -5, -2, -3\/5, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803.33 kilometers in meters?\nAnswer: 1803330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1100 = -v + 21*v. Let s = 517 + v. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 9*k = 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 3. Let d be b - 6*(-2)\/(-4). Is (0 - -499)\/((-5)\/d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -247 + 578. Let g = i - 78. Is 65 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + q - 33. Let l = -2 + 7. Suppose l*r = -3*v + 12, -2*v + 5*r - 20 = -7*v. Calculate the remainder when q is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 36*y + 31*y = 480, 3*x = -4*y + 295. Solve -x*r + 102*r = -15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010 (base 2) in base 7?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/4)\/3)\/(40\/(-400))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62*a**4\/5 + 38*a**3 + 198*a**2\/5 + 74*a\/5 + 4\/5.\nAnswer: 2*(a + 1)**3*(31*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.36464 + 4.595. Round y to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 19 - 26 + t**3 + 5*t**2 + 42. Calculate o(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (1 - (-2 + 2 + 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*d + 13, -d + 2*r - 4 - 2 = 0. Let q(z) = 2*z + 2 - 3*z + 2*z + 1. Calculate q(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-9)\/15 - ((-2025)\/185 + (-14)\/259)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - 1 - (-177 + 169)) + -39 + -3 + 11?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -7. Let w be 2 + 1\/((-2)\/2). Is 19 a factor of (10 + 0)*(w + g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svvvvvvvvsvvvvvvvv. Give prob of sequence ss.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 75940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**3 + 139*t**2 - 158*t - 968. Determine v(-24).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -6 (b) 643 (c) -2\/159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 15769 times -26?\nAnswer: -409994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 - 3*m**3 - 35*m**4 + 33*m**4 + 1 + 0*m**2 - 6*m**2 to i*m + l*m**2 + n + u*m**4 + f*m**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0 = -4. Suppose -23*t - 3 = -49. Let n(r) = -4*r + r - 1 + 2*r + t*r. Calculate n(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (6 + -6 + 0 + -8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82048141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41551 and 296.\nAnswer: 332408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 120*c**3 + 5*c**2 - 17*c + 7. What is the thousands digit of o(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l + 56. Let z be v(0). Let o be (8\/14)\/((-4)\/(-28)). What is the remainder when 44 is divided by z\/o - (-1)\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 11:16 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640830981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -16*f**3 - f**2. Let n be g(-1). Let w = 17 - n. Suppose -o = 5*u, -w - 7 = -2*o - u. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.3 (b) -0.47 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3898*a**4 + 3533*a**3 - 7033*a**3 - 823*a - 3479*a + 3500*a**3 wrt a?\nAnswer: 46776*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 408 and 53188?\nAnswer: 5425176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - m**2 - 2*m**2 + (1 - 2*m - 1)*(-m + m + 3*m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**6\/420 - 11*r**5\/210 + 5*r**4\/28 + 9*r**3\/7 + 792*r**2. Factor u(v).\nAnswer: 2*(v - 9)*(v - 3)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -735 - -1260. Let g = o - 528. Which is smaller: -27 or g?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -8. Let h(p) = -p**3 + 4*p**2 + 3. Let l be h(b). Calculate the remainder when ((-105)\/(-10))\/(l\/4) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**7\/98 + 4*j**6\/35 - 15*j**5\/28 + 19*j**4\/14 - 2*j**3 + 12*j**2\/7 - j + 47. Factor x(n).\nAnswer: -3*(n - 2)**3*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuuiiiuiuuuuuuvvui. What is prob of picking 3 i?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 137775 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(6\/(-8)) + -3. Let x be (1 + -2 - n)\/(1\/(-2)). What is the second derivative of -41*t - 2*t**2 - 23*t**x + 23*t + 2*t**2 wrt t?\nAnswer: -276*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/10)\/(6\/(-75)). Let q = d + -11. Solve 5*i = -2*g - 7, q*i = -5*g - 4 - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 479aa (base 15) to base 11\nAnswer: 146595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-5)*(-10)\/(-4). Suppose 3*c - 9*x + 14*x = 8, 3*x = -4*c + o. Let k be 6\/(-9) + 5940004\/c. Round k to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23492888 to the power of 1\/2, to the nearest integer?\nAnswer: 4847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/12)*b**(-1\/24) assuming b is positive.\nAnswer: b**(1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 15*c + 2. Let n(m) = -2*m**2 - 29*m - 3. Let t(g) = -4*n(g) - 7*x(g). Let w(j) = -j**2 + 194*j + 582. Let r be w(-3). Calculate t(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/4*(-1078)\/3564 and 77\/8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -551921, -2207711, -4967353, -8830841, -13798169?\n\"Answer: p**3 - 551932*p**2 - p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*s - 3, 4*s - 5*f - 24 = -f. Let h be 24\/(-2)*(-1)\/s. Solve 0 = -h*i + 2*i - 4*p + 2, i - 4*p = -17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 4*w. Let t be k(-5). Let o(g) = -1 + 1 + g + 2*g**2. Let y be o(1). Is t less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6933156.\nAnswer: 2, 3, 83, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/5208 and -111\/9035012?\nAnswer: 54210072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h - h - 2*h + 5*h + 1 + h**2 in the form o*h**2 + v + u*h and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -408428 (base 9) in base 13?\nAnswer: -86426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -0*d + 4*u + 16, -d - 2*u = 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38875636480 + -2?\nAnswer: -38875636482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1632)\/(-34)*889\/(-1016)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 5*d**2 + 8*d**3 + 3*d**2.\nAnswer: 8*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 101 (b) -0.3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54087300 rounded to the nearest ten thousand?\nAnswer: 54090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -250 greater than -253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 744562.5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3503820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 131, 197, 323, 521, 803, 1181?\n\"Answer: 2*l**3 + 18*l**2 - 2*l + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*l**4 - l**3 + 3397*l**2 - 2*l - 8420208 wrt l?\nAnswer: -12*l**3 - 3*l**2 + 6794*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25.2 and -20626.\nAnswer: -20651.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*3\/8)\/(25\/20).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3\/5 - 573656*o**2\/5 - 3441882*o\/5 - 5162796\/5 = 0.\nAnswer: -286822, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 142345218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10763\/52 - 207. Let a(q) = -q**3. Let w be a(1). Are w and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + 4*s**4 - 2*s**4)*(-4*s + 0*s + 3*s) + 255*s**4 - 255*s**4 - 60*s**5.\nAnswer: -61*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**5\/10 + 11*u**4\/24 + 3*u**3\/2 + 3743*u**2. Let q(o) = -o**2 - 2*o - 2. What is 4*f(s) + 22*q(s)?\nAnswer: 2*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 4*h + 28, 4*h + 126 = -2*p + 110 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v**2 + 400*v - 50. Let x(o) = 7*o**2 + 283*o - 33. Determine 5*h(c) - 7*x(c).\nAnswer: c**2 + 19*c - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7316 divided by -4\nAnswer: 1829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681 is divided by 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770205 is divided by 192477.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 399 and 592401.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6*(-6)\/34. Let g = -3.3 + 41.3. Let x = g - 39. Put n, x, -6 in increasing order.\nAnswer: -6, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2071, 2036, 1991, 1930, 1847, 1736, 1591?\n\"Answer: -d**3 + d**2 - 31*d + 2102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6218496372.00000434 - -6218496501. Let i = m - 129. What is i rounded to 7 dps?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/5 - 737\/(-110))\/(1470\/(-420))\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 5*p + 2. Let a be s(5). Suppose a*l - 14 = -4*g, g + l + 5 = 3*g. What is the second derivative of 4*d**3 + d - 2*d**3 - 2*d + 3*d**g wrt d?\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(-134*o - 1267 + 1267)*(-5 - 4 - 8).\nAnswer: 4556*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*j = 5*d + 252*j + 25, 3*d + 15 = -5*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138*t + 1101*t - 6741 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 34 + 18 = 0. Let p(b) = -10*b. Let k(q) = q. Calculate c*p(h) - 44*k(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 6*f + 8. Let i(u) = -2*u**2 - 18*u + 54. Let n be i(-11). Suppose 4*h - b = 22, 4*b - 4 = -h + n. What is q(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 3, -3, 114, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b + 9872 + 1328 = 0. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1597 is divided by 181?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -162363 (base 9) to base 12\nAnswer: -49b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 887 = -5*n + y, -3*n = -y - 522. Suppose 0 = 5*i + 5 - n. Calculate the remainder when i is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15403 - -284?\nAnswer: -1512a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/56 and -97\/2786.\nAnswer: 11144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 112383735157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**4 - t**4 - t**4)*(-1 + 2 + 0) + 365*t**3 - 1449*t**3 + 47*t**4 - 46*t**4 to the form p*t**3 + c*t**2 + d*t + w*t**4 + o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(1\/2)*i)\/i)**(-40)\/(i\/i**(-2\/17)*i**(-1\/8)))\/(i**(-2)*i**(-1)*i*i**(-1\/2)*i*i*i*i*((i**(-2\/7)\/i)\/i)\/i*i) assuming i is positive.\nAnswer: i**(-95397\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178944369 and 5828.\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/16*(0 - 16). Let c = 17 - i. What is p in -5*p**2 + p**3 + 6*p**2 - p**c - p**4 + 3 - 3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-38 - -29) - -56?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 2436 in descending order.\nAnswer: 2436, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 6:07 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + s = 18. Which is the fourth smallest value? (a) 9 (b) -5 (c) s (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 152425.9129 to the nearest 10.\nAnswer: 152430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -24415*q + 48588. Give z(2).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-31)\/y*y)**(-1\/21)*y**(-36)*y**(-32) assuming y is positive.\nAnswer: y**(-1397\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2 + 4 + 77*y - 5. Let t be d(2). Let a = t + 432. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1 + (-3 + 4 - 2)*(-1 - 1 + 0))*(3*k + k - 5*k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 664 = 2*w, 0 = -3*v + 4*w - 2*w + 496. Is v greater than or equal to 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(720) - sqrt(720) - sqrt(720) - sqrt(720)) + 1)**2 + sqrt(720) - (sqrt(720) + ((sqrt(720) + sqrt(720) + sqrt(720) + 2)*1)**2).\nAnswer: -3588 - 336*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/3 (b) -108 (c) 521 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 4*w**3\/3 - 51*w**2 + 2*w - 11. Calculate the remainder when d(16) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - t + 1. Let n(v) = 110*v**2 - 99*v + 99. Let z(l) = -2*n(l) + 198*o(l). Let w(d) = -6*d. Determine z(w(a)).\nAnswer: -792*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -0.813.\nAnswer: -0.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 7*o - 45. Let y(m) = -3*m + 13. Let t be y(o). Suppose -3*x = 2*q - 35, q - t = -q - 4*x. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 0)\/(4\/14). Let j(x) be the third derivative of x**4\/12 - 5*x**3\/6 - x**2. Let i(r) = r - 2. What is t*i(d) - 3*j(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/((-21)\/2)*(-12)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 18*y - 14*y + 36 = 0, -21 = -3*t - 3*y. Let r(n) = -n**3 + 10*n**2 - 12*n + 1. Determine r(t).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -7. Let y = l - 0. Suppose 2 = 2*t - y. Solve t*s - 15 = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8) - 55\/(-20). Suppose 0*c + c + 331 = f*m, 0 = 3*c + 12. Suppose 3 - m = -2*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**1*l)\/l)**49*l**(-1)*l*l\/(((l\/l**(-3\/2))\/l)\/l*l)*l*l assuming l is positive.\nAnswer: l**(395\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -11. Let k be ((-13)\/(-13))\/((-1)\/g). Are k and -1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 3*i, -5*t - 17*i + 19 = -19*i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h - 24*h = 5*x - 10, -x - 22 = 7*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -129517002 < -129516997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = 4*g - 301. Which is the closest to 2? (a) g (b) -1.2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33587948821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 4, 893 in ascending order.\nAnswer: -2, 0, 4, 893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45\/4 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10\/37, -1\/9 in descending order.\nAnswer: 1, -1\/9, -10\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Let k(u) be the second derivative of 1\/15*u**6 + 0*u**2 + 0*u**5 + 2*u + 1\/3*u**3 + w*u**4 + 0. Find the second derivative of k(s) wrt s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*q = 4, 10*h = 6*h + 4*q + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 13*t + 73. Let j be i(-4). Calculate the greatest common divisor of j and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 9 + 9 - 25)*(-3*n**2 + 4*n**2 - 2*n**2).\nAnswer: 2*n**3 + 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116\/899269 or 0?\nAnswer: -116\/899269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqmqqqqmq. What is prob of picking 2 q and 1 m?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (0 + (3 - (-2 + 9)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 12*p**3 + 9*p**2 + 4 + 9\/5*p**5 + 15\/2*p**4 + 3*p. Factor z(x).\nAnswer: 3*(x + 1)**3*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + -5 + (-1 - 0). Suppose -5*u + 5*k + 0 - 20 = 0, -k + 4 = -4*u. Sort u, a, 1 in descending order.\nAnswer: 1, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31412.50167 + 31411.1. Let a = 1.4 + p. What is a rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 + 2*v - 2 - 5*v + 4*v - 5330*v - 23*v**3 + 5330*v + (2 + v**2 - 2)*(v + 2 - 2) + 3 - 3 + v**3.\nAnswer: -20*v**3 + v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 11001001010100111101101?\nAnswer: -11001001010100111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48100 divided by 13.\nAnswer: 3700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -1 + 0 - (-11 - 19 - (-38 + 13))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23028 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2 = y, 0 = -92209*i + 92203*i + 3*y - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23340 and 0.4?\nAnswer: 9336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 572*g = 573*g - 2, -39 = -4*h - 5*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 - -0.4. Let t = -176.22 + 178. Let f = k - t. Round f to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40156865.\nAnswer: 5, 7, 1147339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 18 = -161*c + 163*c, q = -q + c - 20 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1 + (sqrt(5) - (sqrt(20) + sqrt(5) - sqrt(5))))*2 - sqrt(20)\/((sqrt(2816) + sqrt(44) - sqrt(44))\/sqrt(11))) + -3.\nAnswer: -51*sqrt(5)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2213 - -2212.5. What is the closest to -4 in 2, 3\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -9. Let h = 13 + t. Suppose -2*s + 309 - h = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 5, y: 9}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 30 = 4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.592 + 0.612. Let a = -149\/9 + 49\/3. What is the nearest to a in 2, 0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 + 10.07. Suppose -3*p - 4 - 5 = 0. Let l be (-2)\/p - (-20)\/(-21). Which is bigger: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 92688*w - 8619988. Determine g(93).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 175 (c) 0.05 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11771 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1, -0.16, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23\/(-2)*((-456)\/3)\/1?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25154 - 25150. Solve -75*o = -71*o - w*n, -20 = -3*o - 2*n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 8813?\nAnswer: -35252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 587 - 2932\/5. Let i be (1\/9)\/(6\/72). Sort i, 2, y, 1\/3.\nAnswer: 1\/3, y, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200807611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/56 and 57\/128.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307245, -614498, -921751, -1229004, -1536257, -1843510?\nAnswer: -2150763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 12*c**5 + 6932*c**4 - 2320*c**3 - 4624*c**2 = 0.\nAnswer: -578, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -2503?\nAnswer: -24dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, m: 7}. What is prob of sequence ooom?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + n = 2*m + 3, -3*n + 6 = 0. Which is greater: 1\/28 or m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 3*k + 20, -k - 2 = 179*c - 180*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*z = 7*v - 345, -5*v + 353 = z. Let w(k) = v - 17 - 24 - 2*k - 25 + 3*k. Let b(y) = -y - 6. Calculate -4*b(f) - 5*w(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + 90\/40 + (-1)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 3:55 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0282 + 7.0182. Let t = i - -0.01. Let g = -6.5 + t. What is the smallest value in 4, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2\/(-4)*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270 and 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1256)\/(-14) + 12\/(4 - 88)*-2. Solve 111*h = l*h - 21 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-741909.83.\nAnswer: 222572.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/255*80\/24?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + (sqrt(114) + sqrt(114)*-2 + sqrt(114) + sqrt(114))*-2 + sqrt(114) + sqrt(114)*2*2)\/((sqrt(3000)*2)\/sqrt(5)).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5938?\nAnswer: 2, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -389, -1262, -2947, -5714?\nAnswer: -9833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413*c = 415*c - 340. Calculate the smallest common multiple of c and 85.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 1)\/((-6)\/52). Suppose -x - 4 = 0, 0 = -3*j - 5*x - 0*x - s. Let r be (j + 1)*(-3)\/3. Let z(c) = 10*c**3 - c**2 - c + 1. Calculate z(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*b + 30357 - 147579 = 2700*b for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -384 divided by 3\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.106 - -0.506. What is the third smallest value in o, 0.5, 2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - v - 8. Let a be y(9). Let p = -83 - a. What is the units digit of (-340)\/(-25)*p\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675248 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 z when three letters picked without replacement from hhzzzzzzzzzzzzzzzzz?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 3*m - 2*m)*(-4*m**3 - 3*m**3 + 6*m**3).\nAnswer: -5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 6. Suppose -5 = -t*c + 5. Suppose 0 = 2*y + 5*g - 18, -g + 3 + 4 = -3*y. Sort y, c, -2\/7 in decreasing order.\nAnswer: c, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 5*x - 2. Let n be -8*(-3)\/(-6) + (6 - 2). Let u be g(n). Let h(q) = 2*q - 8. Let o(a) = a - 4. What is u*h(k) + 5*o(k)?\nAnswer: k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 15591970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - p = 6, -m + 2*p = p - 2. Suppose m*h = -2*z + 8, -7*z = -2*z - 20. Solve h*w = 5*w + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1398130, -4, 2\/5, 3 in decreasing order.\nAnswer: 1398130, 3, 2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -564 + 2255\/4. Let a be ((-12)\/9)\/(2\/(-3)). Suppose a + 2 = c. Put 3, n, c in decreasing order.\nAnswer: c, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (37 - -1) + 1 + -1. Let h = k + -27. Suppose h = 3*g + w, 3*g - 16 = 4*w - 0*w. What is the third smallest value in 4\/5, g, 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**2. Let h(r) = -r**2. Let x be (24 - 2)\/2 + -7. What is x*h(o) + d(o)?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1102121 (base 6) to base 8\nAnswer: -153201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -24 - -90 - (2 + 38).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 20*z**2 - 16 + z + 25*z**2.\nAnswer: 45*z**2 - z - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1312 - -3?\nAnswer: -1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*q + 4, 8*b = 4*b + 12. Let x be q\/(-4)*(8 + -10). Factor 0*l + 20\/3*l**3 - 4\/3*l**x - 25\/3*l**4 + 0.\nAnswer: -l**2*(5*l - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1244582\/7 - -178232. Factor -156\/7*h + p + 2\/7*h**2.\nAnswer: 2*(h - 39)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*3*6\/(-9). Let y = n - -5. Find the second derivative of -2*r + r**3 - 4*r**y - 3*r**3 + 4*r**3 wrt r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6967969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/(-24) + 10\/(-8). Let x(w) be the second derivative of -2*w - 1\/3*w**3 + a - w**2. Differentiate x(f) with respect to f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 + 474*y**3 + 14448*y**2 + 103880*y.\nAnswer: -2*y*(y - 265)*(y + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 2. Suppose -y = -5*w, -2730005 = -3*o - 2*w - 3*w. What is o rounded 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 next term in -32656, -53899, -75154, -96427, -117724, -139051, -160414?\nAnswer: -181819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2*d - 54, -4*d - 36 = -2*i + i. Suppose i + 6 = 5*q. Suppose -q*b + 259 = -599. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2707\/3 + -902. Factor 0 - 1\/3*f**4 - 1\/3*f + l*f**2 + 1\/3*f**3.\nAnswer: -f*(f - 1)**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2449 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 e, and 1 r when three letters picked without replacement from srvttrrexvtvtveett.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -4*z + 14, -w - 1 = -3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1350 + -1 + -6 + -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32176 * -17.8.\nAnswer: -572732.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 548743803 to the nearest integer?\nAnswer: 23425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -23. Let p = 30 - x. Calculate the highest common factor of p and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -27, 5 in decreasing order.\nAnswer: 5, 4, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p + 77. Let n be l(-13). Suppose 58 + 2 = n*m. Solve -16 = m*o + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-3 - 0) + (-8 - 0) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 3. Let y(p) = 12*p**2 - p - 1. Let h be y(-1). Suppose -q - 3*q + h = 0. Suppose 0 = -u + 1 - q. Determine z(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10744204 is divided by 565481?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -786 - 3*b**2 - 779 + 1565 - 27*b.\nAnswer: -3*b**2 - 27*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 15*p - 3*p + 2*p.\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 40 - 28 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 44.4. What is the second biggest value in f, 2\/13, 98?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1546 * -0.08\nAnswer: -0.092368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5822.\nAnswer: 2, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*b = -14484 + 11184 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -34*h + 24. Let q(v) = -6*v + 2896 - v - 2891. Give -3*o(l) + 14*q(l).\nAnswer: 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75227 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: Put 3, -4966, 5 in descending order.\nAnswer: 5, 3, -4966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from mxxxxgxxxxxxxxx?\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1691, -1620, -1549, -1478, -1407, -1336?\n\"Answer: 71*g - 1762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - -62022600?\nAnswer: 62022578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-19)\/(k*(k**8\/k)\/k))\/(k\/k**1)**(7\/4))**(15\/11) assuming k is positive.\nAnswer: k**(-390\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 11*u - 11. Solve 2*q + u*q - 8 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - 1 + 1)*(-59*r**2 - 2*r**2 - 75*r**2 + (2*r**2 - 2*r**2 - 2*r**2)*(-1 + 1 + 1) + 2*r**2 - r**2 - 4*r**2).\nAnswer: -282*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20 and 12686.\nAnswer: 12706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e (base 16) to base 9.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0236 + 0.01665. Let o = -6.02705 + b. Round o to one dp.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180693.\nAnswer: 3, 17, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 6)\/(12323\/(-12325) + 1). Let o = p - 9103. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2604, 0, 17, 2 in descending order.\nAnswer: 17, 2, 0, -2604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 201*f + 53*f**2 - 202*f - 49*f**2 - 23 - 8*f**3 - 16 + 2 in the form c*f**3 + l*f**2 + w*f + g and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4588 + 4497.96. Let g = 90 + u. Let o = -7.04 - g. Which is the fourth biggest value? (a) 2\/7 (b) o (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 - 4*q - 1. Let f(i) = -20*i**2 - 28*i + 5. Determine -f(l) - 6*o(l).\nAnswer: 2*l**2 + 52*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1594 + 1594.0000673. Round n to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13669267 divided by 15913?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 208691168 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4\/5 - 3*f + 8\/5*f**2 + 3\/5*f**3 = 0.\nAnswer: -4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -8*z**7\/105 + 8*z**5\/5 + z**4\/12 + 10475*z**3\/6 + 213*z**2 - 5. What is the first derivative of m(c) wrt c?\nAnswer: -64*c**3 + 192*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26416 (base 7) to base 10.\nAnswer: 7069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -21. Let r(v) = -13*v**2 + 13*v + 12. Let y(k) = -3*k**2 + 3*k + 3. Suppose 5*z - 8*z - 6 = 0. Let o(c) = z*r(c) + 9*y(c). Determine o(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*y = -20390, 4*k - 56*y - 81655 = -57*y. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 2*s + 20, -40*p = -30*p - 11*p - s + 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 58900 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*((sqrt(2736) + 0)*3 + (-1*sqrt(2736))**2*-4).\nAnswer: -65664 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 336*t - 325*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, t: 4}. What is prob of sequence ktkt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -2\/3 (b) 2 (c) 2\/4209 (d) 5\/6 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (314*2\/4)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + ((sqrt(320)*-1 - sqrt(320))**2 + 5 - (-2*sqrt(45)*-2)\/sqrt(9))).\nAnswer: -5148 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-5 - (7 + -9)) + 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -2030?\nAnswer: 1\/1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(528)\/(sqrt(11) + sqrt(22)\/sqrt(2))*1.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25535.606547 + 25545.7. Let x = 0.093253 - q. Let j = 10 + x. What is j rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**3\/6 - 88*h. Let d(t) be the third derivative of -t**5\/30 + 2*t**2. Calculate d(q(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 82321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3356994 is divided by 803.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-48)\/18)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 12) to base 10\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10157377*a + 1117391*a - 5211357*a.\nAnswer: -14251343*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/9 in 5, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.23 in 9, -0.08, 0.01, 0.4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*162\/432)\/((-10)\/8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 11281792*m + 7954926920704.\nAnswer: 4*(m - 1410224)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 61. Put -3\/7, h, -1 in descending order.\nAnswer: h, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -727756?\nAnswer: -727748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -300020300 (base 4) to base 3\nAnswer: -101000110112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-50)*(-500)\/(-50))\/(-4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 497 - 278. Let v = c + -213. Calculate the least common multiple of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yydd when four letters picked without replacement from deuydyueyeyy?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4972, 5010, 5072, 5158, 5268, 5402, 5560?\nAnswer: 5742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**7\/15 + c**6\/40 + 13*c**5\/20 - c**2 - 2*c. Find the third derivative of m(s) wrt s.\nAnswer: -336*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iymmmlgmgmmliliyy. Give prob of picking 1 m, 1 l, and 1 y.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*n - 50. Calculate the smallest common multiple of (-1530)\/(-25) - 8\/n and 2.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 23016931.\nAnswer: 1\/23016931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 51\/6*(-584)\/(-42194)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, x: 8, t: 6, s: 2}. What is prob of sequence txtt?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24\/5 in -4\/3, -2\/47, 19, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25615008165545 take away 2?\nAnswer: -25615008165547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101000011111 + -100?\nAnswer: -10101000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 82.2, -1, -4, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(121) + sqrt(121)) - (sqrt(121)*-2 - sqrt(121))*5)\/((sqrt(44) - sqrt(220)\/(sqrt(5) - -2*sqrt(5)))\/sqrt(4)).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -725866, -725761, -725668, -725593, -725542, -725521?\n\"Answer: -r**3 + 112*r - 725977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -2\/3 (b) -1\/7 (c) 5 (d) -2\/7 (e) -1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2811, -10326, -22863, -40422?\nAnswer: -63003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + g**2 + 3*g + 3. Let j be p(3). Let o(l) be the third derivative of -1\/6*l**4 + 0 + 2\/3*l**3 - 15*l - 2*l**2 - 1\/60*l**5. Give o(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 515427347 + 14?\nAnswer: 515427363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*s = -p + 50*s + 17, p + 5*s - 27 = 0. What is the third smallest value in p, -0.5, 3\/5, -2\/13?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.75 + -0.83. Let s = w - 0.32. What is s rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**15*a)\/(a*a*a**(1\/10)*a) assuming a is positive.\nAnswer: a**(129\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**4 + 6*c**4 + 11*c**4 + (c**3 - c**3 - 2*c**3)*(-165 + 165 - 19*c) in the form j*c**2 + y*c**4 + d*c + g + f*c**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 193676 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 4) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 1:00 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + p + 3*q = 31, -5*q + 45 = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13018 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1258912 by -116.\nAnswer: 314728\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-778)\/(-4279) + (-2)\/11. Solve 0 = -3*y + 15 - 9, q = -f + 3*y - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 4 + 21)*(24*v - 21*v - 7*v - 11) as g*v + h and give g.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2\/3 (c) -0.87 (d) 0.5 (e) 2\/11 (f) 4\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + k - 210. Calculate the highest common factor of 35 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3978055 divided by 21503\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/13 (b) 1\/8 (c) 1 (d) -6 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 52 = -4*s + 57, -2*s = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, t: 1, y: 1, w: 1, u: 12}. Give prob of picking 1 t, 1 w, and 2 a.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1350 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 11) + 2 + 0 + -47 + 42.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.29 + 0.01. Let a = 144 - 1292\/9. What is the closest to a in -0.3, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3 - 3555*h**2 + 10686*h - 7128 = 0. What is h?\nAnswer: -1188, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 - -10*(-25)\/(-30))*306. Is -9 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 59*z + 150. Let k be l(-12). Let h = 584 + k. Which is greater: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 10 = -2*k, -f - 2 = k - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8902419?\nAnswer: 3, 43, 69011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 599809990 to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/8)\/((-9)\/(-558)). Let w = r + 550. Is w a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -10*x + 6. Let p(f) = 11*f - 6. Let z(t) = -5*m(t) - 4*p(t). Suppose 0*w = -3*w + 30. What is the least common multiple of w and z(4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58493.\nAnswer: 29, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*f - 1740 - 2685. Put 0, 1, f in descending order.\nAnswer: f, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u**3 - 2. Let c be (2 + -1)*-2*21\/21. Let s be a(c). Let l = -18 + s. Which is greater: 37 or l?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u + 2. Let w(v) = -49*v - 21. Let c(q) = 21*p(q) + 2*w(q). Let z(s) = 4*s. What is z(c(x))?\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*t - 948 - 1701, -q + 3*t = -2607. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a hour in seconds?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 3:06 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**3 - 2*j**2 - 5*j - 3. Let t be ((-7)\/(-21))\/(1\/9). Is 11 a factor of p(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 25 + 78*m + 66 - 38 + 76 + 21. What is the units digit of z(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(1 - 1 - 3)*(-q - 3*q + 3*q) - 3 + 4*q + 3 + 2 + 134*q - 3 - 102*q.\nAnswer: 42*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*((-7 + 3)\/4)\/1. Is 6\/(-21) + 532745\/35 + g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7 - 2*r**3 + 14 - 99*r + 48*r**2 - 1. What is the remainder when h(21) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 bigger than -0.0867218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((30\/105 - (-8242)\/(-574)) + (-30)\/(-5)).\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*v = -240*v - 1600 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515 is divided by 113?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = 1. Sort -6, -1, n in ascending order.\nAnswer: -6, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 56 = 2*l, 0 = 6*l - l - 2*p - 146. Let x(z) = z + 7. Let m be x(-5). Suppose -m*f + 72 = l. What is the remainder when 61 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.33312 to 0 dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1811, -3681, -5551, -7421?\n\"Answer: -1870*w + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*r - 16, 4*r + 2*j = -2*j - 12. Suppose 0*f + 2*q = f + 5, -q - 5 = -r*f. Suppose 0 = -k + 2*x - 2 + f, 3*k - 9 = 3*x. Solve k*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 7 = -5*d - 2, -p = 5*d + 5. Let y be 56\/(-4)*(-30)\/15. Suppose -23*h + y*h - 870 = d. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + 0 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/4223247 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -9. Let p(u) be the second derivative of 3*u + 51 - 2\/3*u**3 + 1\/12*u**4 - 1\/2*u**2. Calculate p(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*l - 8*l + 3*l)*(-2 - 3 + 7) + l + 4*l - 3*l)*(2 + 0 + 0) + 3*l - 3*l - 2*l to the form y*l + r and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173 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: Three letters picked without replacement from llggcggcggllgxaaglc. What is prob of picking 1 g, 1 a, and 1 c?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(2\/17))\/j*j)\/(j*j*j\/j**(2\/13))*(j*j**(1\/50))\/j**(3\/5))**(2\/93) assuming j is positive.\nAnswer: j**(-14459\/513825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 2*d**2 + d + 2. Let w = -7 - -4. Determine j(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knn when three letters picked without replacement from {v: 1, k: 1, n: 2, d: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a + 0*a + 4)*(165 - 374 - 549).\nAnswer: 758*a - 3032","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 9*j + 2*h + 6, -3 = h. Let r be (0 + (-10)\/2)\/(-1). Suppose j*i = -r*i + 10. Solve 5 + 3 = -i*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/9*45252\/180. Does -56 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -460 + 471. Suppose t + 3 = 4*t. What is the lowest common multiple of x and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60936 and 712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 32, 24, 16, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1084 + 1597. Calculate the least common multiple of o and 270.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1402959.5671 to the nearest 10000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7810407 + -4?\nAnswer: -7810412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -144, -497, -1058, -1833, -2828, -4049, -5502?\n\"Answer: -t**3 - 98*t**2 - 52*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 20.8, -0.1 in ascending order.\nAnswer: -0.1, 3\/2, 20.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 1. Let v = -3.2 - x. Let m = 0.2 - 0. Which is the closest to -1\/4? (a) 1\/2 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12905, -15060, -18667, -23738, -30285, -38320, -47855?\n\"Answer: -2*m**3 - 714*m**2 + m - 12190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-4)*8\/(-6). Suppose 0 - 8 = p*a. Let f be a\/3*6\/12. Sort -5, f, 3 in decreasing order.\nAnswer: 3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 697\/3 - 638\/3. Suppose 14*w - 13922 = 9108. Let s = 11492\/7 - w. Calculate the common denominator of b and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/18)\/((10\/196)\/(-5)). Suppose -3*r + v = -405. Calculate the remainder when r is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9b - -3?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-7))\/((-9)\/126). Let k(d) = -d**3 - 10*d**2 + 4*d + 55. Let f be k(-10). Solve 0 = -g*i + i - f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5031666 divided by -9.\nAnswer: 559074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + x**3)*(6*x + 3*x - 8*x) + (-x + 5*x - 21*x)*(4*x**3 + 0*x**3 - 2*x**3).\nAnswer: -33*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1212434322 + 1212434322 - a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*v - 22*v - 390 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 1250836208*j - 195573902405477408.\nAnswer: -2*(j + 312709052)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22886 + -22880. Solve -17*w - c*w = 46 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2. Let x(s) = -20*s - 9. Let g = -121 + 108. Let z(p) = 10*p + 4. Let v(i) = g*z(i) - 6*x(i). Calculate c(v(d)).\nAnswer: 100*d**2 - 40*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2332\/3*g + 2\/3*g**4 + 226592*g**2 - 679778\/3 - 2332\/3*g**3 = 0. What is g?\nAnswer: -1, 1, 583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.521 and -0.01?\nAnswer: -0.20521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2787*z**3 + z**2 - 13*z + 26. Let n(u) = 697*u**3 - 3*u + 6. Determine -3*j(s) + 13*n(s).\nAnswer: 700*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5662163 (base 7) to base 6.\nAnswer: 23032305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + 8. Suppose 5*q = 3*b - 82, 0 = 5*b - q - 44 - 122. Is l greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 358*k - 360*k + 14 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*(u\/((u*u*u\/(u**(-11\/4)*u))\/u))\/u)\/u*u*u*u)\/u*u*u**(-7))\/(u*(u*u\/((u**6\/u)\/u))\/u*u**(-9)\/u))**15 assuming u is positive.\nAnswer: u**(315\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/(-28) - 1738\/168 and -49\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + g - 3)*(3 - 3 + 2*g - 2 + 2 + 2*g + (-9 - 11 + 2)*(-3*g + g + 3*g))*(21 - 95*g + 92*g - 5) in the form v*g**2 + f*g**3 + c + y*g and give f.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3 (b) -5 (c) 1\/4 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**3 + 141*r**2 - 5*r + 251. Determine u(-47).\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 4:02 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -673*-543\nAnswer: 365439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-2)*148\/(-6)*-1.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from uuaqaquuunuu?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nononinniinonm. Give prob of sequence ono.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.306395 rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 10) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a day?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.96 and 6.\nAnswer: -5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 + 36 - -1)*(-5)\/(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 867 - 863. Solve 3*z = o*i - 19, 4*z - 9*z - 13 = -2*i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 6 = 66. Let a = -1260\/17 + 26615\/374. Find the common denominator of a and 26\/88*(g - 14).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 2*b - 165. Suppose 0 = -0*x + 3*x + b. Which is greater: -38 or x?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.085 + 0.079. Let x = j - -0.006. Which is the closest to x? (a) 0.1 (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6021 and 12123.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3040 - 23342?\nAnswer: -20302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.22199 - -3.22199. Put 62.7, 1\/2, x, -0.1 in ascending order.\nAnswer: -0.1, 1\/2, x, 62.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x. Let r(i) be the second derivative of -i**4\/24 - 2*i**2 + 6*i. Let o(g) be the first derivative of r(g). Determine m(o(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 339 + -701. Let o = j - -623. List the prime factors of o.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.87 - -4.87. Which is smaller: 2.42 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 929*h**2 - 7*h + 932*h**2 + 0*h.\nAnswer: 3*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12927690?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 + 14*o + 18. Let h be w(8). Suppose i = h*i + 3*n - 152, i - 5*n = 112. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6020619 is divided by 55?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 2*r - 3. Let l be d(-4). What is the second derivative of -l*p + 4*p + 5*p**4 - 4*p + 3*p wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1169*z**5 - 433*z**2?\nAnswer: 70140*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-79228)\/(-8196))\/(((-21)\/18)\/(-7))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/5*4*3. What is the common denominator of 2\/4 + 52\/6 and (-66)\/10 + (30\/x - -4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 2*i**3 + 8 + 12 + 16*i in the form y + g*i + z*i**2 + t*i**3 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3441365.1000028 + 3441366. Let c = -10 - -9.1. Let h = p + c. What is h rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 - 66. Put x, -3\/7, -5, 2\/11 in increasing order.\nAnswer: -5, x, -3\/7, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8530, -6779, -3842, 281, 5590, 12085?\n\"Answer: 593*y**2 - 28*y - 9095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*o + 2, -5*o + 27 = -2*q. Let w = q - -16. Let z = w - -29. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*m, -3961 + 4 = -5*a + 4*m. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 3, 10, 9, -6, -41?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -59*p + 1. Let o = -6 + 2. Let m(d) = d + 2. Let l be m(o). Is w(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -258849a (base 11) to base 13.\nAnswer: -c09881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxdffofnnodfnnfnddfb. Give prob of sequence ob.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -638, -205, 518, 1531, 2834, 4427?\n\"Answer: 145*f**2 - 2*f - 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 12, -1788 = -3*y + 27*g - 28*g. What are the prime factors of y?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 5*k + 3. What is n(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3904046106.\nAnswer: 2, 3, 97, 937, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 26 - 7 = 0. Suppose -s*y - 3 = -4*y, -2*y = -5*k - 1285006. Round k to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 2*t**2 + 462*t**3 + 706*t**3.\nAnswer: 1168*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.236274 rounded to one decimal place?\nAnswer: 15.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/2)\/(-1)*1. What is the third smallest value in 0.5, 1\/3, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*h - 14 = 95*h. Sort 1, h, 5 in increasing order.\nAnswer: 1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 + -115. Put h, -36, 5 in descending order.\nAnswer: 5, h, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3656*h**2 - 3961*h**2 + 1785*h**2.\nAnswer: -5832*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 3359?\nAnswer: 9\/3359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 15*u = -z + 1857, 2*z = 3*u + 3700. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 (base 7) in base 15?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or 1\/4798?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 15, 16, 5, -24, -77?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*h, -2*l + 4*l - 2*h = 2630. What are the prime factors of l?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f\/f**(-12)*f*f)*((((((f\/f**(-13))\/f*f)\/f)\/f)\/f)\/f)\/f*f*f)**7\/((f\/f**(-3))\/((f\/f**(1\/5))\/f))**(1\/14) assuming f is positive.\nAnswer: f**(-353\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 1509.\nAnswer: 9054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -4*j - 5*d + 886, 2*j - 5*d - 392 = 0. Suppose -10*o - 61 = -j. Solve 3*t - 1 = -2*g - 2, 0 = 5*g - 3*t + o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26a13a - 3?\nAnswer: -26a142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1637 - 1635. What is the closest to -3 in w, 2\/17, 4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-2) + (68 - 1). Suppose 2*z - 4*i + 8 = 0, 2*z - 2*i - 3 + 1 = 0. Suppose z*u - j = 79. What is the highest common divisor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 9:34 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.224 (b) 0.07 (c) -2 (d) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*w = 191 + 116, 2*w = -3*h - 467. Let a = -46 - h. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 114\/2*5\/(-5). Let i = v - -62. Solve 5*o + 25 + 0 = p, 0 = 4*p + i*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14\/271 - -12503\/5962. What is the common denominator of z and -11\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*x**4 - 25*x**3 - 8*x + 1149?\nAnswer: 12*x**3 - 75*x**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810 a factor of 19721656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6\/25)*d)\/(d**(-11\/2)\/d) assuming d is positive.\nAnswer: d**(363\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 9\/4*q**4 - 8\/3*q**3 + 0*q + 0*q**2 + 3. Find the third derivative of i(c) wrt c.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-3 - 12\/(-9)). Suppose d*z = z - 3*f + 1797, -5*f + 1795 = 4*z. Suppose -2*k + z = 114. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 4*j**3 + 2 + j**3 + j**3 - 5*j**3. Let z(c) = -c + c + c + 0. What is n(z(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -622942 divided by 160\nAnswer: -311471\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**6\/60 - 6*m**5\/5 - 77*m**4\/4 - 196*m**3\/3 + 2*m**2 - 2*m - 382. Factor b(y).\nAnswer: -2*(y + 1)*(y + 7)*(y + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131923537 to the nearest integer?\nAnswer: 11486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from {a: 2, v: 4, u: 2, k: 1}.\nAnswer: 2\/9","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) 0.07 (c) -0.0333\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpm when three letters picked without replacement from pptubtmm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66*t + 165 + 121*t - 53*t)*((0 + 0 - t**2)*(1 - t - 1) - 2*t**3 + 0*t**3 + 3*t**3) to the form v*t**4 + x*t**3 + i + f*t + y*t**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36338, -72667, -108996, -145325, -181654, -217983?\n\"Answer: -36329*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -3, -22138, 20 in ascending order.\nAnswer: -22138, -3, 2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 74\/8 + (-3)\/12. Suppose 4*h - 185 + l = 0. Calculate the highest common divisor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 409267, 409278, 409305, 409354, 409431, 409542, 409693, 409890?\n\"Answer: j**3 + 2*j**2 - 2*j + 409266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.7 + 1.3. Let d = 0.08 + -8.68. Let h = d + 9. Which is the second smallest value? (a) h (b) -8 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 30*v**2 + 30*v - 66. Let y be z(2). Calculate the greatest common factor of 513 and y.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/7)\/(120\/840)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 7*b + 3. Let a(t) = t + 1. Let c(u) = 2*a(u) + v(u). Let s(x) = 76*x**2 + 10*x - 79*x**2 - 3 - 6 - x. What is -7*c(p) - 4*s(p)?\nAnswer: -2*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/3 + 268*h**3\/3 - 8978*h**2 - 217*h. Factor t(m).\nAnswer: -4*(m - 67)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**2 - f + 5. Determine j(-5).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*n + 184*n - 20157810 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 equal to -3\/9360446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 2, -1040, -2 in decreasing order.\nAnswer: 3, 2, -2, -12, -1040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 23 + -18)*(23 + -6)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77316 less than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-117)\/2457 - (-85)\/21. Let s = -5 + 5.2. Let x = -0.6 + s. Which is the closest to -0.2? (a) m (b) 0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 4:24 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, 1\/7, 5, 0.1 in increasing order.\nAnswer: -0.3, 0.1, 1\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 64\/5 of a kilogram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -120200 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -478 + 477.9. What is the third biggest value in x, 0.1, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*i + 1891 = -9274, -2800 = -m + 3*i. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*w + 72 = 0. Let k(o) = o - 3. Let y be k(w). What is the remainder when 488\/y - 24\/108 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 730138540 to the power of 1\/2, to the nearest integer?\nAnswer: 27021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51041, 90732, 130423, 170114?\nAnswer: 209805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Let p be -2*(m - 3\/(-2)). Let s = p - -1. Which is the biggest value? (a) 0.2 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179591 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3006529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1681.9221 + -1682. What is j rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c3c4 (base 16) to base 11\nAnswer: 114147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qetleleeqetlqetll. What is prob of sequence leel?\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 6:48 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -82.3, 5\/7, 2\/11, -4, 1\/4, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3587801?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28557834 is divided by 484031?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -10*j + 198. Let m be x(20). Sort 114, -3, m, 3 in ascending order.\nAnswer: -3, m, 3, 114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (-75 - -39)) + 44?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/69 and -137\/24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.2 - 3.5. Let l = q - 2.06. Let v = l - -0.359908. What is v rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300*(-46)\/1656*3\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8\/41 (b) -1\/3 (c) -222 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + p**2 - 7*p + 1. Let r be m(-3). Suppose 270 = r*n + 3*d + 2*d, -4*n + 262 = d. List the prime factors of n.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 645, -1\/3, -54246, 2\/7, -1 in ascending order.\nAnswer: -54246, -1, -1\/3, 2\/7, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Let n(p) = p**2 - 2*p + 1. Let i be n(r). Let k = i + -2. Sort k, 3, 5 in decreasing order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*q**3*r + 31*a*q*r + 2*a - 94*r + 2 wrt q?\nAnswer: 6*a*q**2*r + 31*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 469 and 399.\nAnswer: 26733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and -0.9?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3768, 3684, 3588, 3474, 3336, 3168, 2964, 2718?\n\"Answer: -z**3 - 77*z + 3846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c595 (base 15) to base 11.\nAnswer: -984a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t = 124*t. Let d(y) be the second derivative of t - 4*y**2 - 1\/6*y**4 + 5*y - 4\/3*y**3. What is z in d(z) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19706 or -19724?\nAnswer: -19706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4846 a factor of 918791908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12618752.\nAnswer: 2, 12323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -134367 - -4?\nAnswer: -134363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llijjvjivjjv. Give prob of sequence iv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u - u)*(-4*u + 3*u + 2*u) + 504437*u + 81*u**2 - 32*u**2 - 504437*u.\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(19 - 10 - 17*r - 10)*(-2553 + 2553 + 568*r**2).\nAnswer: 19312*r**3 + 1136*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-6)*-2*(-28)\/3. Let t = m - 31. List the prime factors of (t - -6) + (8 - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3, -5, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 = -y, m + 0 - 2 = 0. Let n(r) = -9*r**2 - 6*r - 6. Let g be n(y). Is ((-2)\/(-2))\/((-3)\/g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 143?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 1 - v - 3 - 1)*(-241*v - 27*v + 57*v).\nAnswer: -422*v**2 + 633*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -12*n**2 - n - 2. Let y be w(2). List the prime factors of 2\/13 + (-2696)\/y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 greater than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2695 divided by 9?\nAnswer: 2695\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*b**3 + 1)*(212 + 238 - 626) - 6*b**3 + 4*b**3 + 0*b**3 + (4*b - 3*b + 3*b)*(-2*b**2 + 4*b**2 - b**2).\nAnswer: -350*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532 is divided by 153?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048566371?\nAnswer: 1048566371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 76*i**2 + 487*i - 40. Calculate the remainder when d(-7) is divided by 77.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -149 - -162. Solve -d = 5*w + 12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 + 10*w - 11. Let d be i(1). Solve 0*g + d = b - 4*g, 2*g + 8 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 96601.24 millilitres?\nAnswer: 96.60124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 53045 (base 8) to base 6\nAnswer: 250033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.4 - -2.6. What is the closest to 1 in -4, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 4*h**2 - 2*h - 1. Let x be r(2). Let a = -1922 - -9613\/5. What is the fourth smallest value in a, -2\/17, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29409 times 6.82?\nAnswer: -200569.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53)\/(1855\/(-28))*12\/240.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 325741305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35894153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -5)\/((-183)\/(-854)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2766*a - 2191*a - 32775 = 0 for a.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2.9, -5, 1, 19, 3\/7 in increasing order.\nAnswer: -5, 0.4, 3\/7, 1, 2.9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, x: 1, g: 2, u: 1, e: 1, v: 1}. What is prob of sequence evyu?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/(-17) + -5 + 5 + -6.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -7. Find the third derivative of -7*i + i + g*i**3 - i**2 + 6*i wrt i.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 157 - 145. Suppose -d + 6 = j, -5*j + t = -4*d + 3*d. Solve -v + 3 = -3*c, j*v = -0*c - 5*c + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3527, 3522, 3517, 3512?\nAnswer: 3507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 4*j**2 + j + 1. Let s be v(4). Suppose -4*x - s*h = -4*h - 200, -4*x + h = -192. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0 - 18 = -f, -f + 3*w = 7. Solve -2*p - f = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3019*m - 984*m - 1197*m - 29.\nAnswer: 838*m - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142087992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1091406242 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) 2 (c) 1\/6 (d) -84\/113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*z + 202*z = 21. What is the closest to -0.4 in -6\/7, 3\/2, z?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-306 + 309)*(210\/25)\/7.\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4677 is divided by 426.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 5*f - 3*f)*(-1 + 1 - f) - f**2 + f**2 + 2*f**2 - f**2 - f + f + (-f + f - 2*f)*(2 + 1 - 1)*(-27 + 27 - 8*f).\nAnswer: 35*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*m = 12*m + 754. Suppose 4*g - z = m, -3*z + 36 = 5*g - 13. Solve -g + 4 = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/4)\/(1\/4). Suppose -v*z + 24 = z. Solve -5*t + 2 = 4*y, 3*t - z*y - 8 = -5*y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c**5 - 6515*c**4 + 33879*c**3 + 39602*c**2 - 2988*c - 2232 = 0 for c.\nAnswer: -186, -1, -2\/9, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 95 in -3, 10, -0.3, 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 584.9996965 - 585. What is z rounded to five dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9498 - 9502. Sort 1\/3, 2\/17, j, -78 in ascending order.\nAnswer: -78, j, 2\/17, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*k - 17*k + 6*k)*(0 + 2*k + 1 + 4).\nAnswer: 80*k**2 + 200*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 12387459*r**2 - 6518*r + 97770. Let x(w) = 22813*w**2 - 12*w + 180. What is 6*j(z) - 3259*x(z)?\nAnswer: -22813*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 18*i**2 + 27*i - 8. Let l = 126 + -107. What is the hundreds digit of v(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 43*p**2. Let r = -3 + 2. Let j be c(r). Suppose 52 = 5*a - j. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.87 and 164.623.\nAnswer: 307.84501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3\/13, -4, 0.2 in decreasing order.\nAnswer: 0.4, 3\/13, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959763962.\nAnswer: 2, 53, 9054377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 56084472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 9*f**2 - 11*f + 1. Let s be l(-8). Suppose 183 - s = 2*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 - -83) + 10 - 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 8*o - 6. Calculate h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*50\/(-5))\/((-75)\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 47*c**2 + 71*c + 110. What are the prime factors of d(47)?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 v when three letters picked without replacement from {n: 1, x: 14, v: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 2)*2 + -2. Suppose -b*g = g + 75. Let k = 116 + g. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -277, -554, -831, -1108, -1385?\n\"Answer: -277*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 12. Let d be (z + 4)*0\/(-2). Let r(h) = h**2 + h + 90. Let y be r(d). What is the greatest common divisor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24983 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 4. Let y = -4\/9 + 2\/9. Let w = -1 - 4. Which is the smallest value? (a) y (b) h (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f. What is p(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-5313))\/((-8)\/14)*4\/(-2).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129069 is divided by 1137.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1878, -4677, -7464, -10233, -12978?\nAnswer: -15693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 76849 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (28\/(-2345))\/((-4)\/(-10)). Put -1\/2, -4, s in descending order.\nAnswer: s, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-300802*z**2 - 651*z**3 + 300802*z**2 - 5*z)*(z**2 - 2*z**2 + 3*z**2).\nAnswer: -1302*z**5 - 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 6, h + 11 = 2*c + 1. Suppose 0 = 3*g - v - 119, -c*g + 69 = -v - 91. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2312 - -2640. Is 1633\/5 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26420264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2776485 in 5, -4, -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 13331105 and 13331112 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 5*h - 7, 886 = 5*s - 20*h + 19*h + 869 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p. Let a(c) = 6*c**2 + c - 1. Let s be a(1). Let v = s + p. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -108, -234, -402, -606, -840?\nAnswer: -1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*f - 9*f + 225*f + 30*f**3 + 6*f**3 - 140*f.\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 45 = 24*g - 29*g + 3*r, 2*g - 46*r = -42*r - 32 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - s - 221 = 0, 5*i = -7*s + 2*s - 365. Let p = i + 99. What is the remainder when p is divided by (-4)\/(-6) - (-100)\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 15*o - 35*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**4 + 34039*h**3*j**2 + 3*h**2*j**2 - 24924*j**2 + 2*j wrt h?\nAnswer: -48*h + 204234*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.37 - -1.299. What is v rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 185, -5, -7 in decreasing order.\nAnswer: 185, -1, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 16 = 9. Let y be (7 - -3)\/((-3)\/(-12)). Suppose -n*i = -15 - y. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 71?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -11*p - 31. Calculate the remainder when 117 is divided by n(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**7\/1008 + w**5\/15 + w**2. Let b(g) be the third derivative of p(g). Let a(u) = -2*u**2. Determine b(a(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 - 94*c - 513. Determine p(36).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1813757 divided by -2461\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 55157 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/50)\/((-12)\/(-40))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dycshyud. Give prob of sequence hcyu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w = 22*w + 55. Calculate the greatest common divisor of 99 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55, -16, 57, 170, 329, 540, 809?\n\"Answer: o**3 + 11*o**2 - o - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.5, 0.35, -2.2, -25?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1351, 2\/73, -41.3?\nAnswer: -41.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/22*(-36)\/(-54).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 132*m - 6. Let r(b) = -3*b. Calculate r(n(s)).\nAnswer: -6*s**2 + 396*s + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgrgvgxrcsgggcxcg. Give prob of picking 1 r and 2 g.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 145, 56, -77, -260, -499?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 520424 + -134?\nAnswer: 520290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j**2 - 9. Let n(g) = -3*g**2 + 5. Give 5*n(r) + 2*t(r).\nAnswer: -r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8543982 = -8*q + 49407982. What is q rounded to the nearest 100000?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 0.677.\nAnswer: 2.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/48 and 2\/(-30)*(4 - (-1414)\/4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-4191446.\nAnswer: 8382892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (140 - 147) + (5 - 9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-2 - 0) - -19. Let h = 113 + -56. What is the greatest common divisor of r and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 386, 1, -10, 5, -9, -4 in ascending order.\nAnswer: -10, -9, -4, 0, 1, 5, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14712 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -898478*q = -898658*q + 19800 for q.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1574423 is divided by 2382?\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1010101100111101001000 (base 2) to base 7\nAnswer: -32563344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -3*j - 2*l, -2*l = 4*j + l - 315. Let v = j + -33. Suppose 2*t = -2*t + 20. Calculate the highest common factor of v and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51397986.037451 - 51398400. Let k = 413.99 + l. Let p = k + -0.0272. What is p rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 17*z**2 + 2*z - 32. Let w be n(17). Suppose -w*r + 8 + 2 = 0. Let d(l) = -l**2 + 2*l + 3. Give d(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {m: 2, e: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 45. Solve -3*d + 0*d - 19 = 4*w, 0 = d + 4*w + f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 237888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.092171 - 3.6.\nAnswer: -3.692171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4\/3)*x*x**(-4))**(-2\/19) assuming x is positive.\nAnswer: x**(20\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -280*c - 1177 + 1175 + 13*c in the form n*c + i and give n.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(2*x - 2*x - 2*x)*(13 + 7 - 10)*(12 - 38 - 10)*(4*x - 2*x - x) as m*x + q*x**2 + o and give q.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -3 + 3 + 1. Let z be 1*(x - 2) + 0. Solve 0 = -4*k + 5*m, -4*k - 9 = z*m + 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 - 2*h**2 + 7*h**2 - h**2 + (-h**2 + h**2 + h**2)*(2*h**2 - h**2 - 3*h**2) to the form m*h**2 + j*h + n*h**4 + v + u*h**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - w + 0 + (-w + 4*w - 5*w)*(3 - 3 + 2) + (-4*w + 6*w + 2*w)*(48 - 3 + 19).\nAnswer: 251*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.554 + -1.5538442. What is g rounded to six dps?\nAnswer: 0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 699*q**3 - 706*q**3 + 1398*q**3 + 0 + 941*q to the form t*q + r*q**2 + l*q**3 + j and give t.\nAnswer: 941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -440 - -440.5. Let v = -8 + 7.7. Let s = v - 0.2. Which is the nearest to -2\/9? (a) t (b) s (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 524 = -2*t - 478, 9*t - 153 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**5 + 216*t**4 - 3072*t**3 + 15080*t**2 - 23100*t = 0.\nAnswer: 0, 3, 5, 11, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1b2ae6 (base 16) to base 9\nAnswer: -3313282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1670\/11 - 152. Suppose 4*o + 16 = 2*o. Let l be o\/(-6)*6\/20. What is the second biggest value in l, a, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*5\/(-28)*(-440)\/275?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1143\/1332 + (18011\/332 - 55).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b - 60. Calculate the smallest common multiple of 6 and c(-23).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-10))\/(1\/22). Let g = 29 - l. Let c(m) = m**3 - 3*m**2 - 3*m - 4. Let u be c(4). Sort u, 4, g.\nAnswer: g, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 1)\/1*6\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 94*p - 826. Give z(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 2:22 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 14 = -c - 2*v, -c + 3*v = -11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*r - 9718 = -34218, -19600 = -4*a - 6*r. What is the smallest common multiple of a and 42?\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 69938727?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 165*z**3 + z**2 + 2*z + 2. Let t be i(-1). Let r be -2*(-3 + t\/8). Suppose -4*v + f = -0*v + r, 5*f = 2*v + 1. What is v rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c - 17. Let r(h) = 10*h + 17. What is -5*q(l) - 4*r(l)?\nAnswer: -5*l + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1939 + 11569\/6. What is the common denominator of y and -3\/52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 181*i. Let n be x(4). Suppose 139 - n = -5*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -22.5. Let u(b) = b - 4. Let s be u(6). What is the second biggest value in -0.2, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -acedf (base 16) to base 7.\nAnswer: -6010033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -0.4. Let d = 5.5 + p. Let m = 7.7 - 8. Which is the nearest to m? (a) d (b) -0.5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxeeekmer. Give prob of picking 1 e and 1 r.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**8\/30240 - g**6\/3240 + 61*g**4\/24 + g**3\/6 - g**2 - 3*g. Let r(i) be the second derivative of l(i). Factor r(j).\nAnswer: 2*j*(j - 1)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 4*t**2 + t + 5. Let c be f(-5). Let q be -4 + 0 - (-4 + 0). Solve q*l - 5*l = -c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 2. Calculate the lowest common multiple of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 22 + -18 - 19.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhhjjjjh. What is prob of picking 1 h and 1 j?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -q - 3058, -3*z + 2*q + 1702 = -137. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516067, 1032129, 1548189, 2064247?\nAnswer: 2580303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18476 is divided by 528.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/11359 and 76\/2763.\nAnswer: 102231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/(-5) + 6)\/((-768)\/320)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168015.9 months in decades?\nAnswer: 1400.1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 682 and 14066591.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33701 + -6965?\nAnswer: 26736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 e when four letters picked without replacement from {a: 7, g: 1, e: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7427937 or -7427934?\nAnswer: -7427934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 234?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 7 + 3*m**2 - 43 + 9.\nAnswer: 3*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a gram in milligrams?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 21*p - 1010. Determine q(48).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2972039.\nAnswer: 7, 424577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 243, 470, 713, 978, 1271, 1598, 1965, 2378?\n\"Answer: m**3 + 2*m**2 + 214*m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 7:45 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - 0.2. Let w = -2.522 - -2.622. Which is the closest to w? (a) -2\/77 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.01 (b) 0.3 (c) 1\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.107 + 0.047. Let l = y + 0.46. What is the fourth biggest value in -0.2, 6, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22\/3, 4, 317\/5, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13658463 divided by -20601.\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.5 (b) 3\/4 (c) 0.2 (d) -109773\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkckkvrkcrrkk. What is prob of sequence ckkc?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1013 + 604 = 77*u for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -553 (base 10) in base 15?\nAnswer: -26d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t + 563 = 9378. Calculate the remainder when t is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q. Let k(y) be the third derivative of 0 - 1\/30*y**5 - 6*y**2 + 0*y**3 + 0*y**4 + 0*y. Give k(z(g)).\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 8047 - 8151 = 0. Solve -s*k + 13 = -91 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4766564 and 146716.\nAnswer: 3412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 0*k**2 - 20*k**3 + 4*k**3 + 19*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 32*k**2 - 69*k + 110. Let m be j(34). Solve 40*f + m = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7\/6 + 1. What is the nearest to 1 in 1, k, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486385.6 nanograms in kilograms?\nAnswer: 0.0000004863856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a + 177. Calculate the smallest common multiple of n(-18) and 27.\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357548018 a multiple of 433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -97910 + 848?\nAnswer: -97073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - r**2 + r**2)*(8*r**2 - 3*r**2 + 0*r**2) + 2*r**3 - 48*r**4 - r**3 + 52*r**4.\nAnswer: 14*r**4 + r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1522 = g + 3*b - 1515, 4*g + 2 = b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/603 and 43\/536.\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21181450000 + -80.55.\nAnswer: -21181450080.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 13*q = -21. Suppose q*f - 2 = f - 3*y, -5*f = -4*y + 41. Which is the closest to 0.3? (a) -4 (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*i + 37*i - 46 = 61 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6635?\nAnswer: 5, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y - 40 = -27*y. Solve 0 = 4*m - 4*g - 1 + 13, -y*m + 3*g - 10 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from cocdczddccdddd?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - h. Let k(m) = 2*m**3 + 50*m**2 + 41*m - 167. Let x be k(-24). Let a(v) = v**3 + 2*v**2 - 2*v. Calculate x*a(y) - 4*s(y).\nAnswer: 5*y**3 + 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w + w**2 + 2*w + 6*w + w to the form x + m*w + f*w**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 809, 11, -186 in descending order.\nAnswer: 809, 11, -186","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 204 divided by -340\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 greater than 7.2542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u - 88. Let s be a(-10). Let q(f) be the first derivative of -3\/2*f**2 - s - 2*f. Differentiate q(d) wrt d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b5 + -19?\nAnswer: 19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 35. Let m = -3 + 20. Suppose -4*g + 23 = 5*o, -g - 4*g + 2*o + 4 = 0. Solve g*h = 2*s - h + w, -3*s - 5*h + m = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 10:29 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 0*f**3 + 31 + 2*f**3 - 4*f**4 - 13 to w*f**2 + u + o*f**3 + q*f**4 + l*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.1777 and 11468942026.\nAnswer: 11468942021.8223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18.42? (a) -0.1 (b) 3 (c) -0.4 (d) -1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 15 + -7 + (-15 - -1) + -14?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by -13.\nAnswer: 61\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -188203 * 12.\nAnswer: -2258436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26, 25, 32, 53, 94, 161, 260, 397?\n\"Answer: v**3 - 2*v**2 - 2*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + 12 - 6) + 3. Suppose -15*y + 8 = -v*y. Solve 3*a = -m + 16, -3*a + y = -4*a + 2*m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1114755 (base 13) in base 2?\nAnswer: -10011111110011111100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7241.\nAnswer: 13, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*m + 68 - 184 + 83 + 76*m + 68 to the form a*m + h and give h.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 10, 19*r - 1570 = -60*r + 5*p for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 388532572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45.9 - -43. Let y = g - -3.9. Let f = -134 - -134.06. What is the smallest value in y, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 11*i - 58. Let p be (-1 - -2)\/(-7*(-1)\/56). What is the smallest common multiple of w(p) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 870907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -20*g - 100. Let c be w(-5). Solve c = t + 4 - 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 74*p**2 + 12*p - 114. Let f(l) = 22*l**2 + 4*l - 36. Let u(g) = 2*b(g) - 7*f(g). Give u(3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55584921.\nAnswer: 3, 7, 2646901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 1 - 3)*(k + 0 + 5 - 6) in the form w + c*k and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -40, -6 in decreasing order.\nAnswer: -0.4, -6, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10)*(-3)\/(-3))\/((4818\/3630)\/(-73))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**5 + 12*x**2 - 4*x**5 - 3*x**2 wrt x?\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -22*k - 6. Let n(o) be the first derivative of -143*o**2 - 77*o + 24. Let h(b) = 77*j(b) - 6*n(b). Let r(p) = 3*p**2. Determine r(h(t)).\nAnswer: 1452*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/8 of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a decade in months?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2413 + 1552 = 0. Calculate the greatest common divisor of q and 244.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2838, 5684, 8530, 11376, 14222?\n\"Answer: 2846*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -155 + 98. Let n = -50 - m. Suppose 2*f - n*f = -105. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 4:45 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 13*m + 4. Let r be y(-13). Let p = -9 + r. Let j be (-3 - 9\/p)*5. Let z(w) = 3*w + 4. Calculate z(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-3)*63\/(-14). Let k = -4 + q. What is the remainder when (-1805)\/k - 2\/10 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 7:27 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (3 - 1) + (29 + 32 - 88)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 8115819.\nAnswer: 16\/8115819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -11784*a - 11921*a - 7355*a + 3582*a + 3889*a as q + l*a and give l.\nAnswer: -23589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -428172603 equal to -428172603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5353*c - 34138. What is u(-6)?\nAnswer: -2020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.25 - -1.15. Let m = 19 - x. Let n = -8.8 + 5.8. Put -1\/4, -0.5, m, n in ascending order.\nAnswer: n, -0.5, m, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 49, 48, 41, 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*m - 2336*m + 825*m - 2713*m.\nAnswer: -4433*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/60*2\/24. Let i(f) be the third derivative of 0*f + 0*f**5 - z*f**6 + 0*f**7 + 0 + 1\/336*f**8 + 0*f**4 - f**2 + 0*f**3. Factor i(l).\nAnswer: l**3*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27, -2, 61, 180, 373?\n\"Answer: 3*x**3 + x**2 + x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 501791131 * 1.\nAnswer: 501791131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 - 55. Let p be (-2)\/10*-1 - h\/(-60). Let s be 1\/6*14 - 2. What is the smallest value in p, -4, 3, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**3 + 980*q**2 + 14*q + 7. Let z(n) = 5*n**3 + 1306*n**2 + 18*n + 9. What is -9*g(m) + 7*z(m)?\nAnswer: -m**3 + 322*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f**2 + 2*f + 20. Let u(y) = 5*y**2 - 3*y - 19. Let z(r) = -6*l(r) - 7*u(r). Let v be z(-8). Is 48 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 30 = 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 7) in base 16?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 594730.8 litres?\nAnswer: 594730800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12146378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kokk when four letters picked without replacement from jjokojooojjkjjo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47900303 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 52?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -12*j + c, 5*c = 4*j - 21. Let k = -2 - -2. Let s(f) = -3*f + 2 - f**3 + 0*f - f**2 + k*f. Let y(d) = -d**2 - d + 1. Calculate j*y(l) + s(l).\nAnswer: -l**3 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(11) + sqrt(11))*-1 - (sqrt(396)*1)**2.\nAnswer: -396 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d8c (base 15) to base 16.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 11:40 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 152.94 + -154. Let h = i - -1.060000288. What is h rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/7))**(-10)*(b**(1\/2))**(-43))**(-5))**(11\/3) assuming b is positive.\nAnswer: b**(4785\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by -283\nAnswer: 45\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-10)\/(-35)*2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(3 + -2 + -5). Suppose k*g = -32*g + 7072. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 0 + -10 - (33 + 36 + -14).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 6*u + 5. Let i = 13 - 18. Let q(n) = n**2 + 5*n + 5. What is the remainder when q(-7) is divided by h(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2871, 5372, 7873?\n\"Answer: 2501*a + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + w**2 - 13. Suppose 274 = -38*u - 30. Let v be (0 - 0)\/(u + 9). What is n(v)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(1300) + sqrt(1300))**2 - sqrt(1300)) + -5*4*sqrt(13) + (-6*(sqrt(130)*2 + sqrt(130)) + sqrt(130))\/(sqrt(40)\/sqrt(100)).\nAnswer: -315*sqrt(13) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + i**2 + 1. Let p = 3 + 1. Let w(n) = -5*n**2 - 2 + n**2 + 2 + p*n**3 - 3. Determine w(b) + 3*y(b).\nAnswer: b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 36 = -0*f + 2*f, 2*f = -2*z + 30. Let i = f + -7. Suppose 0 = 8*g - 18 - 30. Solve -3 = g*q - i*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/(-34))\/(25\/(1050\/714))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*l. Let v = 5 - 5. Which is the nearest to l? (a) 0.2 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367260107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (17\/3)\/(9\/27). Suppose -y - y = -3*w + 4, -14 = -5*w - 4*y. What is the third derivative of 0*f**4 + w*f**4 - i*f**2 - 20*f**4 + 3*f**4 wrt f?\nAnswer: -360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -2100?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 9*u - 26 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 160\/(-26) + (15 - 9). Let h = -228\/5 - -46. Which is the smallest value? (a) 0.3 (b) q (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**2 - 9*k**2 + 2*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 39 = -l - 28, 0 = -3*v - 5*l + 33. Suppose r - v = 24. Suppose 5*t - 5*f = r, -f - 2*f = 3*t. Solve j + t = -0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75290 and 52703?\nAnswer: 527030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/27 and 41\/78987.\nAnswer: 710883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 0 - -7 - 5 - -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39.905 + -0.005. Let j = 45 - m. What is j rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5103\/(-54)*(-10)\/28. Is q at least 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69030 = 112*y - 2413*y for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 64.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1. Let q = 29 - 30. Let m(s) = -17*s + 4. Let r(z) = 4*z - 1. Let h(n) = -2*m(n) - 9*r(n). What is q*h(t) - i(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*i = 85*i + 70*i + 77*i - 6*f - 109, -27 = 3*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052509 at most as big as 1052504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -27*a - 25. Give y(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 - b - 7. Let m(c) = 15*c**2 - 40*c - 7937. Let f(r) = -6*i(r) + m(r). Differentiate f(o) wrt o.\nAnswer: -6*o - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004644 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 307 = -155*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27268 + -2868. Is t a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -c + 4*o - 2*o, -o - 4 = c. Suppose -c - 50 = -3*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 - 0 - -3 - (-7 + 12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 433, 1496, 3567, 6982, 12077?\nAnswer: 19188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2271991325 + 1.50274\nAnswer: -2271991323.49726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 4. Let l be o(4). Suppose -2*d + 2 = -5*d + t, 4*d - 5*t - l = 0. Let y(j) = -j**3 - 3*j**2 - 3*j. Let v be y(d). Which is smaller: 3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0916 + 0.091167. Round v to 5 decimal places.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 + 2*c**2 + 2*c**3)*(-61*c**2 - 402*c + 402*c + (c - c - 4*c)*((-2 + 2*c + 2)*(4 - 4 - 1) - 4 + c + 4)).\nAnswer: -114*c**5 - 114*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 95 - 294 + 99 - 2*r + 99. Let u = 7 + -5. Calculate i(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**7\/2940 - z**6\/504 + z**5\/210 - z**4\/12 - 2*z**2. Let h(s) be the second derivative of b(s). Let h(j) = 0. What is j?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -1\/6 (b) -7 (c) -3\/7 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjrj when four letters picked without replacement from {v: 3, j: 4, r: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 87 - 1172 = -33*q + 10*q for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -31*a + 261. Let v be y(8). Sort 0, 9, -1, v, -3 in descending order.\nAnswer: v, 9, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 12. Let v be 7\/(14\/z) - -1. Suppose 2*a + 2*u - 2 = 0, -5*a - v*u + 2*u + 17 = 0. What is the greatest common divisor of 44 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211210874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 83686 and 83685 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from {f: 3, b: 8}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 25823 to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(250)*-4).\nAnswer: -sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/160 and 49\/12770?\nAnswer: 204320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 306 + -306.273. Let v = t + 0.063. What is v rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 + 8*w + 8. Let l be d(-7). Suppose l = -2*v - 0*v. Let m = -37 - v. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -5) + (-1 - 1) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.47 * 0.0551.\nAnswer: -0.136097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 198 and -1.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/10*4 + (-4 - -6). Solve h*m**2 + 0 + 2\/5*m**4 - 4\/5*m**3 + 0*m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -47*r**3 + 4*r**2 + 13*r - 7. Is f(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1532567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/7446 and 71\/6.\nAnswer: 7446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -63*n**2. Let f(m) = 13*m + m**2 - 3*m - 5*m - 5*m. What is l(f(y))?\nAnswer: -63*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*r + 2037052, 3*s = -2*s + 5*r - 2546315. Suppose -3*x + 513379 + 84410 = 0. Let v = s + x. Round v to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*z = 479, -2*v + 236 + 70 = -2*z. Is 29 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 63, -15.\nAnswer: -15, -3, 1, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + s - s + 0*s + 18.\nAnswer: -s + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 9*l**2 - 14*l + 2. Give s(-8).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/43, 2, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(242) - (-1 + sqrt(242) - sqrt(242)) - sqrt(242)))*4)**2 + 3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlklslyqqll. Give prob of picking 2 q, 1 y, and 1 k.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 10*r**2 + 3*r + 2. Let y be m(-2). Let w = y - 34. Solve -3*h + w = -1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*sqrt(2000) - sqrt(2000) - sqrt(2000)))\/(sqrt(36)\/(4*sqrt(36) - sqrt(9))).\nAnswer: 350*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-250283)\/10065 + 4\/(-30)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0524454764 rounded to four dps?\nAnswer: 0.0524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*o + 2*y, -5*o + 28 = -o + 2*y. Suppose o = -3*i - 9. Put 2, 5, i, 4 in decreasing order.\nAnswer: 5, 4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2090 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4020 (base 5) to base 3.\nAnswer: -200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, g: 1, y: 6, t: 2, c: 4}. Give prob of sequence cc.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2069 - 1900.3. Let m = 169 - v. Which is the nearest to -2\/11? (a) m (b) -2\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 3:52 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - 5*i + 3*i + 0*i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**2\/2 + 9*x - 1. Let c be k(3). Suppose s = c*s + 2*n - 23000, -2*n = 0. What is s rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 533*o**6\/120 - 2*o**5\/15 - 229*o**4\/8 - 4081*o**2. What is the third derivative of h(x) wrt x?\nAnswer: 3198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -9.9. Let r = -95 + 93.9. Let k = r - -6.1. Is k greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2\/3 + 13040*f\/3 - 13045\/3.\nAnswer: 5*(f - 1)*(f + 2609)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 4*s - 3. Let a(t) = 6*t**2 - 9*t - 26. Let y(j) = j**2 - 2*j - 5. Let f(w) = -2*a(w) + 11*y(w). Let h(d) = -4*f(d) + 5*n(d). Factor h(m).\nAnswer: -(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 7:20 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 6*n**2 - n**2)*(5*n - 4*n + n) + 14*n**3 + 13*n**3 - 28*n**3 + (5*n**2 + 5*n**2 - 4*n**2)*(-2 - 2*n + 2).\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 221 + -39. Let n = -164 + r. What is the greatest common divisor of n and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2600 and 781404?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15253576879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - a - 8 = 0. Suppose 0 = -z - i - 4, -3*z + a*i - i = 12. Let r(u) = u**2 + 5. Let y be r(0). Put -5, z, y in increasing order.\nAnswer: -5, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(6\/11)*k*(k\/k**9)\/k*(k\/(k\/((k\/(k\/(k**(-5\/7)\/k)*k))\/k)))\/k*k*k**0\/k*k assuming k is positive.\nAnswer: k**(-860\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13043431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -660 - -670. Suppose i*a = -7*a + 170. What is the least common multiple of a and 58?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6304 and 7936.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*r + 773*r - 207*r = 24650 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w**2 + 73*w - 6. Determine a(-5).\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 11*z**2 + 8*z + 11. Suppose 2*p = 3*b + 19, 4*b + b = 5*p - 25. What is the tens digit of r(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -10 - (13 + -42 + 16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g - 4*t = 4, 8 = 5*g + 3*t. Solve 0 = -4*u - g - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509096395 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -20*q + 20. Let k be z(1). What is the nearest to k in 0.3, -15, 4\/5, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17046, -69093, -155838, -277281?\n\"Answer: -17349*w**2 + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2247958 is divided by 250?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -569, -1143, -1719, -2297?\nAnswer: -2877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33664333211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 148, 159, 184, 229, 300?\n\"Answer: j**3 + j**2 + j + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 23*i + 10. What is the units digit of x(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**3\/3 + 7*y**2\/2 + 4*y + 3. Let f be d(-7). Suppose f*n - 103 + 19 = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -440 from 8051.\nAnswer: 8491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 103, 3\/5, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u - 7. What is the remainder when 55 is divided by w(9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 216? (a) -2\/13 (b) 0.3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -112*i + 889. What is x(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6228775849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 120.890479 - 0\nAnswer: 120.890479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 376134 divided by 123\nAnswer: 3058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -15448*i + 15446*i. What is the remainder when 695 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 16\/(-12) - 2\/(-6). Suppose -5*p - 2*a + 607 = s, p + 3*a = 5*a + 119. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4788 and 17332?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(165)*2)\/sqrt(5) - sqrt(3993)*1)\/(((2*sqrt(121))\/sqrt(11) + sqrt(11))*4) + 1.\nAnswer: -2*sqrt(3)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (16 + -6 - (-15 - -13 - 41))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 12:38 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -558, 4, 2, -740.\nAnswer: -740, -558, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*(3 + -2)\/(-3). Let o be ((-90)\/44)\/y + (-2)\/11. What is the third biggest value in -5, 2\/7, o, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(78)*2*-5)\/(sqrt(60)\/(3*(sqrt(10) + sqrt(160)))))**2.\nAnswer: 1170000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1435001 - 2324?\nAnswer: 1432233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6615 + 6579 + (9 - (-1 + 1 + 0)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, -3.\nAnswer: -13, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -2139580 in increasing order.\nAnswer: -2139580, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.8, -0.06, 19\/4 in ascending order.\nAnswer: -8.8, -0.06, 19\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8*f = -222. Let m = 357 - 206. Suppose -3*y + m = -2*q, 3*q = y + 5*q - f. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 90, 155, 224, 285, 326, 335?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 2 (b) -3.6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/4 + -1)*6. Suppose -12 = -v*t + 6*t. What is the tens digit of 5904\/84 + t\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2, 15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 172611*c + 188. Let j be u(7). Suppose 3*k = -4229465 + j. What is k rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 53 = 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*j - 6, 15 = 5*r + 2*j - j. Suppose 8*g + 2*q = r*g + 6, 3*q = -6. Suppose -n = -g*n. Solve 2*u - 3*x - 1 = n, -2*u + 0*x = 5*x + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1745.6 + 1746. Which is bigger: -236 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejtjjejjtjtjtojttk. What is prob of sequence keoe?\nAnswer: 1\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 619 a factor of 25311107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {f: 1, z: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*v**2 - 11*v**2 - 2 - 17*v**2)*(-5 + 3 - 1) as n + t*v**2 + f*v and give t.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2086*m**2 - 37546*m + 29. What is l(-18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**5 + 210*l**4 - 610*l**3 - 6200*l**2 + 18375*l + 23750 = 0.\nAnswer: -5, -1, 5, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 352670169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 19 - 14 - 5 - a. Give w(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 1\/388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -18\/2891 = -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-120)\/6 - (-20 - 64). Solve 16*j - h - 64 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 2573?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20878 divided by 143\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 291. Let n(h) = -h + 143. Let d(v) = 2*n(v) + o(v). Let u be 2\/10 - (-112)\/(-10). Calculate d(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72*c**3*m**6 + 11617*c**3*m**4 - c**3*m - 25413*c*m - 3*m**2 wrt m?\nAnswer: 8640*c**3*m**3 + 278808*c**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 + 4.66. Let y = m - 11.8. Let q = y - -8.1. Which is the second biggest value? (a) 0.09 (b) -0.5 (c) q (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -17*s**3 - s**2 + s. What is m(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-3 - -2) + (4 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 14143357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 3*m**2 - m - 2. Let r(u) = -2*u**3 - 4*u**2 - 2*u - 2. Determine 3*r(n) - 4*z(n).\nAnswer: -2*n**3 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18 - 3\/(1*-3). Let j be (0 + -1)\/((-4)\/(-52)). Let y = x + j. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/5069?\nAnswer: 2\/5069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -313\/1457 + 6\/31. Which is the smallest value? (a) g (b) -2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g - 11. Let b(m) = m - 2. Suppose 0 = -l + 3*l + 12. Let a(t) = l*j(t) + 33*b(t). Let o(z) = -14*z**2. Give a(o(f)).\nAnswer: 42*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 9*l - 1. Let k be h(-4). Suppose -59 = t + 5*x, -6*t + 2*t + k*x - 213 = 0. Let o = t + 100. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 - 11*y - 11. Let h(u) = -13*u**2 + 244*u + 53. Let c be h(19). Give q(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043 is divided by 47.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2314117 divided by 2314117?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*j + 1399999, -3*r = 3*j - 4*r - 839999. Suppose 0 = -o + 3*o + j. Round o to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -8. Solve 4*b + 4*v = 16, b - t*b = -4*v + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -4, 1240, 1\/8, -961?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 1\/66*d**4 + 43*d + 8\/11*d**3 + 144\/11*d**2 + 0. Factor w(b).\nAnswer: 2*(b + 12)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(720)*2.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12283282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23195603.\nAnswer: 1483, 15641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 815832993 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*w + 6, w + 1 = 3*g + 3. Suppose -12 = 2*s - 5*s - 4*l, -2*l + 8 = 2*s. Suppose s*b - 60 = -g*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 0, -2.\nAnswer: -17, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 43 (c) 2 (d) -0.3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((2\/4)\/(2652\/(-624))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18477c + 2?\nAnswer: -18477a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/5 - 1122*u\/5 - 1121\/5 = 0. Calculate u.\nAnswer: -1121, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/((-2)\/20). Let z(u) = -3*u**2 + 5*u + 3. Let m(t) = t**3 - t**2 + t + 1. Let q(r) = m(r) + z(r). Is q(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15292026 divided by 6.\nAnswer: -2548671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence neen when four letters picked without replacement from {n: 2, e: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 + -9.7. Let j = 8.974 + i. Round j to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9421400 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17428345?\nAnswer: 5, 11, 316879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*l + 37*l + 1570422 = 138*l. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 499 + -262. Suppose -2*b - 34*u = -36*u - 28, 4*u = -5*b + 52. What is the remainder when z is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12051058 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(95)*1)\/((sqrt(5) - sqrt(50)\/sqrt(160)) + sqrt(5))*-3.\nAnswer: -24*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 637110 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.5, 0.2, -7, 2, -0.3, 65 in descending order.\nAnswer: 65, 4, 2, 0.5, 0.2, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2135d1 (base 15) to base 9.\nAnswer: 2868427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-5)\/2)*-1. Let q be -3*(4\/3)\/(-2). Let w be q\/(-10) + 6\/(-70). What is the second biggest value in w, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92335, -92289, -92257, -92245, -92259, -92305, -92389?\nAnswer: -92517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1898.569 kilograms in grams?\nAnswer: 1898569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 6. Suppose -u*r + 16 = 2*m, 4*m + 3*r - 11 = 17. Suppose -g + m*g - 30 = 0. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 2 (c) -24 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789500838.\nAnswer: 2, 3, 7, 41, 65497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -71*n**2 - 11*n + 11. Let w(g) = -13*g**2 - 2*g + 2. Let h(r) = -4*k(r) + 22*w(r). Let i(y) = -55*y**2. Calculate i(h(j)).\nAnswer: -220*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, f: 4, j: 1, a: 1, g: 3, n: 3}. What is prob of sequence fx?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**3 - 56*z**2 + 6*z + 46. Let a be k(-19). Solve 297*y - a*y = 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1*(sqrt(2688)*-1 + sqrt(42)))\/(sqrt(36)\/((sqrt(216)\/sqrt(4))\/sqrt(9) + sqrt(6))))**2.\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19392 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1124404 weeks in minutes?\nAnswer: 1133.399232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(720))\/(-4*sqrt(9)*-2 + sqrt(9)) + 4)**2*2.\nAnswer: 128*sqrt(5)\/9 + 3232\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - 3637027?\nAnswer: -3637015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (5380\/6)\/(36\/54) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -53798, -107565, -161332, -215099, -268866, -322633?\n\"Answer: -53767*v - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**5\/20 + 5*s**4\/12 + 5*s**3\/6 - 60*s. What is c(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95088387 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 - 258 - 10)*(7*i**2 - 5*i**4 - 7*i**2).\nAnswer: 1680*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1*-2)\/((-96)\/13008)?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(352))\/(sqrt(66)\/sqrt(96) - sqrt(11)))**2.\nAnswer: 2048\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2 - u + 4*u - 2*u. List the prime factors of d(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -303*j**7\/14 + j**4\/12 + 89*j**3\/3 - 2*j - 3. What is the third derivative of q(c) wrt c?\nAnswer: -54540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.023 and 2604208.863.\nAnswer: 2604208.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from yxxyxxxxxyy.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 0*m**3 + 0*m**2 + 3*m + 3\/20*m**5 + 0 - 1\/4*m**4. What is the third derivative of b(d) wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*p - 5 + (0 + 1 + 0)*(-170*p - 207*p + 257*p))*(2*p**3 - 3*p**2 + 3*p**2).\nAnswer: -244*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(6 + (-1599)\/267). Round j to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22, 0.2, 1.5, 0, 3045?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 364 and 3087.\nAnswer: 160524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3*k*o**3 + 157*f**3*o**3 + f**3*o**2 - 2*f**2*k*o**2 - 4*f*o**2 wrt o.\nAnswer: -12*f**3*k + 942*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/3 less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = k - 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 6*p + 2. Let o be q(-6). Let h be -1*4*o\/12. Let u = -0.6 + 0.5. What is the nearest to u in h, -4, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4525198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -49*x**6\/720 + 7*x**4\/3 - 45*x. Let d(f) be the third derivative of u(f). Let m(n) = -2*n**2. What is m(d(r))?\nAnswer: -4802*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -571, -1146, -1719, -2290, -2859, -3426?\nAnswer: -3991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + a - 30 = -q, 4*a - 170 = -3*q. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55226*i - 55393*i - 3173 = 0 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/24)\/(((-42)\/(-16))\/7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 5*g, 2*g + 12 = -2*o - 0*g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46226 or -231137\/5?\nAnswer: -231137\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -54 + (146 - 134).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14273, -28539, -42807, -57077, -71349?\nAnswer: -85623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 f, and 1 l when four letters picked without replacement from bsrsffssbqsrsrlfsr?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(128)*1 + 3 - (3 + (sqrt(128) - (sqrt(128) + 1)) + sqrt(128) + -1))**2.\nAnswer: -224*sqrt(2) + 6276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) -29 (c) -14 (d) -0.2 (e) -2657 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q**(-3\/16)\/q*q**(-1\/15)*(q\/q**(-15))\/q**5 assuming q is positive.\nAnswer: q**(2819\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**5\/60 + 5*g**4\/24 - g**3\/3 - 2*g**2. Let v be o(3). Suppose 0 = -v*x + 2*x - 10. Sort 0, x, 3 in ascending order.\nAnswer: x, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 86*w**2 + 708*w - 158. Determine i(9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 84581*c**3 + 142*c**2 + 7154194 wrt c?\nAnswer: 253743*c**2 + 284*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3549*r**4 - 105534*r**3 + 196128*r**2\/7 - 12960*r\/7 = 0. What is r?\nAnswer: -30, 0, 12\/91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*z - 3*u, 5*z + 0*u + 14 = 2*u. Let q be 1\/(-21)*(1 - z). Which is the third smallest value? (a) 0 (b) q (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -3. Let y = d + 14.5. Let j = y - 8. Sort 4, j, -0.5.\nAnswer: -0.5, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*l**2 + 6*l - 2*l - 6*l wrt l?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -4, 529\/4, -0.1, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/431778913 and -75\/2?\nAnswer: 863557826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from tttwwwxwwo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*y + 866496 = 874060 for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26350 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (-108 - (-36 - (-3 - -11)))\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -100749 * -0.048\nAnswer: 4835.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 3*k**2 + 0*k**2)*(2 + 1 + 0) + (58*k - 5*k + 81*k)*(-7*k + k - 4*k).\nAnswer: -1334*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y = -93*y + 228 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -9 - 7. Suppose -11 = f - 2*f - t, t = -j*f + 56. What is the highest common factor of 135 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 52. Suppose 7*j = 6*j - s + 34, 3*j - 107 = 2*s. Is (-9)\/1*7\/(j\/a) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 99\/(-9) - 5. Are 3 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -0.263248.\nAnswer: -0.563248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-123)\/1)\/(23 + -26). Let o = -12 + w. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 + (-722396)\/(-14). Let o be (-18)\/(-99)*11*(3 + -1). Suppose o*w - g + d = 0, 0 = 4*g - 2*g. Round w to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, -0.3, 2, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1561*h - 207. Is p(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z - 16 = -2*r, 0 = 3*r + 2*z - 4. Let d = r - -8. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 + -968\/9. Let z be ((-186)\/60 + 3)\/(3\/24). Which is the third biggest value? (a) z (b) g (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-45)\/(-5) + -3. Suppose 29 = -5*z + h. What is the tens digit of (-435)\/(-6) - 6\/z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -80. Determine q, given that -25*q**2 + r*q - 13*q**3 - 7*q**3 - 14*q - 5*q**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-607\nAnswer: -3035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/49480 and -29\/301828.\nAnswer: 3018280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1839*a**2. Let b(k) = -44*k. Give b(n(l)).\nAnswer: -80916*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-156))\/(1\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 8:52 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189888?\nAnswer: 2, 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259*9541.\nAnswer: 2471119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, -6, 0.\nAnswer: -6, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5154.9 - -5155. Which is the closest to k? (a) -3 (b) -0.8 (c) 2 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 65, -0.1, 0.3.\nAnswer: -0.1, 0.3, 4, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_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: Suppose 0 = -4*q, 3*x - 8*q - 87 = -5*q. What is the remainder when 141 is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127*-14205.\nAnswer: -1804035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2. What is the remainder when o(2) is divided by (-16)\/88 + (-123)\/(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54663 divided by -959?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -167762, -335527, -503292, -671057, -838822?\n\"Answer: -167765*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 248 and 348 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**5\/20 + 11*n**4\/12 - 7*n**3\/3 + 31*n**2\/2 + 6*n - 23. Calculate f(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v - 80 = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*f = 229*f - 1159392. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i = -64. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6\/h)\/h**(3\/5)*(h**(-1\/3))**(-9\/2))\/(h**(-4)*h*h**(-1)\/h*h*((h\/h**(-6))\/h*h)\/(h\/(h*h\/(h\/h**(-2)))*h*h)) assuming h is positive.\nAnswer: h**(69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 12:19 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 3*c**4\/4 + 3*c**3 - 6*c**2 - 631. Factor t(x).\nAnswer: 3*x*(x - 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 77.6 (b) -4\/11 (c) -84 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**2 - 7*s + 7. Let i(u) = -6*u**2 - 6*u + 7. Let w(g) = -7*i(g) + 6*v(g). What is the derivative of w(m) wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*x + 377 = 2*z, 0 = -5*z - 2*x + 393. Suppose 5*h - 7 = -b + 4, 3*h = -5*b + z. Calculate the greatest common divisor of b and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17782185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 97526, 97530, 97536, 97544, 97554?\n\"Answer: g**2 + g + 97524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -158791298*0.2\nAnswer: -31758259.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.39853 decades in millennia?\nAnswer: 0.2539853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 10:56 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.1 - 0.1. Let p = 4778 + -4780. Which is the nearest to 1\/4? (a) n (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 16*g. Let a(h) = 8*h**2 - 36*h + 54. What is a(z(l))?\nAnswer: 2048*l**2 - 576*l + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1002, -4006, -9064, -16218, -25510, -36982, -50676, -66634?\n\"Answer: -7*d**3 - 985*d**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -100 + 112 - (-1 + -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m = -296*m - 1945 + 701 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n + 10. Factor -4*g - n + 1 + 3 + 2*g**2.\nAnswer: 2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(3\/12 - 0). Suppose -b = b + x. Is (-6)\/(-15) + (-66)\/b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11 + 11)*((-8)\/6)\/4. Suppose -12 = -f*c - 3*c. Solve 0 = -c*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94063*r + 2 + 16319*r + 58411*r - 2 + 160*r)*(-3*r + 4*r - 3*r).\nAnswer: -337906*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 11 = 3*d + 5*z, 2*z = -4*d. Let l = 106 + -105.96. Which is bigger: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 387?\nAnswer: -3483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-185))\/((-3)\/2*1182\/2955)?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -21*c. Let k be t(-4). Suppose -6*p + 60 = -p. Suppose f - p + 0 = 0. Calculate the greatest common factor of k and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*s)*(53*s - 27*s - 13*s + (-3 + 3 - 2)*(0*s + s + 0*s)).\nAnswer: 22*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 11:03 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.9 - -9. Let h = v - -5.34. Round h to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 17*o**2 + 37*o - 43. Give l(-19).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -490, -1091, -1932, -3013, -4334, -5895?\nAnswer: -7696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 52*q + 51. Give h(26).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w - 11. Let q(h) = 2*h + 5. Let d be 1104\/(-207) + 1\/(5 - 2). Give d*q(u) - 2*k(u).\nAnswer: -4*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*z + 2*z - 73*z)*(0*z + 0*z + 3*z**3) + 3*z**4 - z**4 - z**4 + (-2*z**2 - z + z)*(2*z**2 - z**2 - 2*z**2) - 4*z**4 + 23*z**3 - 23*z**3.\nAnswer: -247*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*l**2 - 6 + 4*l + 4 + 2*l**3 - 20 wrt l?\nAnswer: 12*l + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 + 6 = 5*c, 4 = s - c. Suppose -20 = -8*w + s*w. Suppose w*t - t - 84 = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -35, -67, -103, -143?\n\"Answer: -2*g**2 - 26*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -10. Suppose 0 = -z + 4 - 6. What is the third smallest value in z, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 12:36 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2364 - 2364 - 5*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1 and -8.04.\nAnswer: -8.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = 2*l. Let w(y) = 2*y + 11. Let b be w(l). Let p(s) = -27*s**3 + s**2. Calculate the remainder when p(b) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = x - 2*x - 59, 4*m = 2*x - 36. Let j(z) = z**2 + 10*z - 16. Let d be j(m). Let c(q) = -3*q - 7. What is c(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50010 is divided by 16670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2849 - 82629\/29. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 1\/3*t**4 + 0*t**2 + 0*t**3 + 2\/5*t**5 + 0 + 2\/15*t**6 + 4*t. Determine b so that s(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b - 16 = 0. Suppose 9 = -3*r, 0 = -3*o + 8*o - 2*r + 4. What is the tens digit of (23\/o)\/(4\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10*d + 7. Calculate m(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(20 - 10)*0. Is m greater than or equal to -10\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1173 + -1e7?\nAnswer: f8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -280*k**2 + 2*k + 7. Let r(o) = -561*o**2 + 4*o + 14. Let g(q) = 5*n(q) - 3*r(q). What is the second derivative of g(u) wrt u?\nAnswer: 566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**3\/5 - 11*g**2\/5 + 5*g - 13\/5 = 0?\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnkknnkn. What is prob of picking 2 k and 1 n?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18260 by 166.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(275)*2 + 3 + (-3*sqrt(275)*-1 - (0 + sqrt(275) + 5)) + 0)**2.\nAnswer: 120*sqrt(11) + 4409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 1. Let h(k) = -41*k + 1. Is 15 a factor of h(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, e: 2, w: 3, v: 1, k: 1, t: 1}. What is prob of sequence xv?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 68.8*0.018\nAnswer: 1.2384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.756638 millilitres?\nAnswer: 0.004756638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -562.3 to the nearest ten.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7\/b*b)**(1\/31) assuming b is positive.\nAnswer: b**(7\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x + 2*v - 1, 0 = -2*x + 2*v + 14. Let c = 43 + -40. Let j(l) = 1 - c*l + 4*l + 1 + 2. Give j(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/24 and -97\/68.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*x - 24 = -0*v, v - 40 = 2*x. Let z = v - 30. Suppose 3*b = z*b + 3. Solve 3*m = b*q - 6, -5*q - 5*m + 4 = 14 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10, 2, -8, -20, -34, -50?\n\"Answer: -h**2 - 5*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1934*l. Let b(h) = 1895*h. Calculate w(b(g)).\nAnswer: 3664930*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 + 5*i - 4. Let s(a) = -a**2 + 2*a - 2. Give -3*b(z) + 7*s(z).\nAnswer: 2*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + sqrt(847)*2 + 3 - (-3 + sqrt(847)*2 - 3*sqrt(847)*-1)))**2.\nAnswer: -7128*sqrt(7) + 274752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 260\/28 - 2\/28*2*229\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6963 times 1\nAnswer: -6963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2743*s + 1376*s - 22 + 1371*s + 2 + 6*s - 2 + (2 + 4 - 4)*(-2*s - 1 + 1) - 2*s + 0*s + s as k*s + f and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-199)*(12 - 4). Let d = 3589\/2388 - x. What is the common denominator of 61\/12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 518 - 430 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-791)\/(-28) + 3 - (-1 - 45\/(-20))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.823699 micrograms?\nAnswer: 8823.699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 272152504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8164, -33165, -74832, -133165, -208164?\n\"Answer: -8333*o**2 - 2*o + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*((sqrt(833) + (sqrt(833) - 1*(sqrt(833) - sqrt(833)*-3)) - sqrt(833) - sqrt(833)) + sqrt(833))**2.\nAnswer: -7501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10832 - 10822. What is the remainder when 1764 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/6 and -40 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -32, 35, -5, 0.2, -573 in ascending order.\nAnswer: -573, -32, -16, -5, 0.2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 5712073?\nAnswer: 5712073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1582 divide 129598105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, 16, 23, 34?\n\"Answer: 2*a**2 - 3*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55151081 to the power of 1\/2, to the nearest integer?\nAnswer: 7426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2. Let s(u) = -u**3 + 6*u**2 - 3. Suppose 5*q + 2 = -3. Let k(g) = q*s(g) - 6*w(g). Differentiate k(l) wrt l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivelmli. What is prob of picking 4 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1563*m + 2015*m + 1818*m + 2316*m + 3 - 1 as w*m + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 1\/6*i**3 + i**2 + 0 - 1\/4*i**4 + 1\/30*i**6 + 27*i - 1\/20*i**5. Factor n(a).\nAnswer: (a - 2)*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*n + 44, -2*n = n + k + 34. Let y be (n + 0 + 2*1)\/(-2). Suppose 2*i + 22 = 5*u, y*u = i + 2*i + 19. Solve 0*a = 2*a + u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*h + 11 + 0 + 3 - 11.\nAnswer: -123*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8559 + 6790. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.1 * -13\nAnswer: 118.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + z. Let t be 114\/18 - 1\/3. Let s(w) = 2*w**2 + 3*w. What is t*a(j) - 2*s(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - u**2 + u + 1. Let d(p) = -2*p**3 + 4*p**2 - 3*p + 7. Let z(a) = d(a) - l(a). What is z(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - o - 5. Let i be -4*(-3)\/(-54) + 260\/(-45). Is k(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 80 - 84 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 656?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12927.37 tonnes?\nAnswer: 12927370000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -6*d**5\/7 - 615*d**4 + 15123*d**3\/7 - 12981*d**2\/7 - 2157*d\/7 + 618 = 0?\nAnswer: -721, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4458 divided by 3\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - h**2 + h + 1. Let k(a) = 214*a**2 + 8 + 4*a**3 - 251*a**2 + 4*a**3 + 24*a. Let f(m) = k(m) - 6*y(m). Does 3 divide f(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 334*n**3 + 48 + n**4 + 331*n**3 - 46 + 2*n - 664*n**3 - 11*n**2 - 2*n**4 as w*n**4 + t*n**3 + m + p*n + a*n**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -15\/151, 3, 2\/9, -3.2?\nAnswer: -15\/151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 i when three letters picked without replacement from {n: 2, e: 1, i: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1044*z - 122523. What is l(-117)?\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 7 (b) 5 (c) -3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a3096 (base 13) to base 7.\nAnswer: -61340405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 9:17 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 775 - 780 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.2, 1\/3, 24, -1\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and 5334930.\nAnswer: 16004790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3284986, 3284981, 3284978, 3284977, 3284978, 3284981, 3284986?\nAnswer: 3284993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 51*n + 1286. What is x(-26)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (180\/(-72))\/(((-1)\/(-12))\/(5\/15))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let s(l) = -4 + 4*l + 12 + 10*l. Let m = 0 + 5. Let i(b) = -9*b - 5. Let h(o) = m*s(o) + 8*i(o). Determine j(h(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -262426920 divided by -7\nAnswer: 37489560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xox when three letters picked without replacement from {x: 2, o: 1, u: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, i: 4}. Give prob of sequence iiti.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-24))\/((-60)\/(-2000))*2\/5. Solve 4*a - 10 = u*n, -2*a + 16 = 3*n - 0*a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 47663972?\nAnswer: 476639720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8166 - -17990. Round x to the nearest one hundred.\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-5) - (-18)\/60*202. Suppose 4*s + 2*r = -r + j, 4*s + 2*r = 58. Calculate the highest common factor of s and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 28\/(-714) - (-19024215)\/1071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -120? (a) 5\/11 (b) 6\/5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -65) + (-37 - -23) + -8 + -1.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.05 (c) 0.4 (d) 2\/13 (e) -42 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 27*k + 18. Let l(x) = x**2 + 27*x + 62. Let d be l(-25). What is the units digit of p(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 232294 + -232911.265. Let s = q + 619. Let o = s + -0.305. What is o rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15120\/(-320)*(-4)\/3. Solve 70*v = y*v + 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.24 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.5 (b) -0.12 (c) -3\/112 (d) -1\/4 (e) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 856 - -20*28\/70 and 6?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2024 - 1999. What is the greatest common factor of r and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 18*t - 464. Let h be b(26). Solve 2*y - h*l = 4, -4*y + 5*l + 6 = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.9 + 10.9. Sort -2, -8, u, -4 in decreasing order.\nAnswer: u, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r**4\/7 - 2949*r**3\/7 - 66513*r**2\/7 - 245928*r\/7 - 106704\/7 = 0. Calculate r.\nAnswer: -468, -19, -4, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 - 39. Suppose -2*a - 4*p = 8, a - 7*p + 32 = -2*p. Let c = a + t. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5\/3 - 76*m**4\/3 - 1291*m**3\/3 - 2212*m**2\/3 + 1292*m\/3 + 2288\/3 = 0. Calculate m.\nAnswer: -52, -22, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = -5*t. Let i(r) = -r**3 + 12*r**2 - 4*r - 8. Let l(f) = 3*f**2 - f - 2. Let m(y) = 2*i(y) - 9*l(y). Calculate m(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -22*r - 44. Let k be b(-18). Let m = -177 - k. Let w = 480 - m. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6491*y - 4751413. Give w(-732).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 72*z - 95. Calculate the remainder when m(69) is divided by 45.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 68*t**2 - 98*t + 1644. Calculate l(69).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 266150938 a multiple of 626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 602 + -599. Solve 18*a - 14*a + 23 = w*s, -4*a - 2*s = -2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from {o: 3, f: 2, h: 4, w: 4, u: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 6*o**2 + o + 4. Let v be h(-6). Suppose d - 2*d + 2 = 0. Suppose -9 = -6*x + 3*x. Sort v, d, x in increasing order.\nAnswer: v, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)*h**11)\/((h*h**(-8))\/((h*h\/(h**(-1\/17)*h)*h)\/h)) assuming h is positive.\nAnswer: h**(1006\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((15 - 26) + 13 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 0*h + h)*(-2 + 5*h - 2*h**3 + 4*h - 2*h**2 + 1) to p*h**2 + i*h + d*h**4 + x*h**3 + r and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(-17 - (-75923)\/4462) is divided by 57.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, m: 4, y: 2}. What is prob of picking 1 m and 2 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 1. Let d(x) = 5*x**3 - 3*x**3 - 4*x**3 - 3*x + 5*x**3. Let z(r) = -d(r) + 3*l(r). Differentiate z(o) wrt o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v**2 + 17 - 17)*(-1 - 2 + 1)*(40 + 45 - 53).\nAnswer: -448*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-182)\/(-546))\/(1\/319647) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m - 6. Let j(s) = -9*s + 7. Let d(b) = -6*j(b) - 7*w(b). Let a(i) = -4*i. Give d(a(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 30. Let o be x(5). Calculate the highest common factor of o and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + 6*h - 1. What is the remainder when 139 is divided by g(-6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20483?\nAnswer: 20483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*h + h + 9, 2*f - 3*h = 6. Let m = 2 + -1. Let b be 2\/((2*4)\/m). Put -2, f, b in descending order.\nAnswer: f, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 - 12*d**2 + 26*d + 4. Is 32 a factor of c(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-38)\/(-8) - (-7)\/28. Suppose -d + 11 = -0*d - 4*q, -r*d + q = -36. What is the remainder when d is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(243) + -1 + sqrt(243) + 0 + -4))**2*-3 + -5 + 1.\nAnswer: -11968 + 2160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -641.0955 + 0.0955. Let a = n + 647. What is the biggest value in -0.6, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 39466 = 2*f + 39453, -5*f + 5*f = 3*g - 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18000421799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + h**2 + 2*h - 1. Let z(y) = -3168*y**3 + 3*y**2 + 6*y + 1163. Let d(u) = 3*s(u) - z(u). What is the derivative of d(t) wrt t?\nAnswer: 9513*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19116 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gglg when four letters picked without replacement from boloolgogobgbooojolo.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 3*y**2 + 54*y + 5. Let i be s(-6). Suppose -i*r = 16*k - 13*k - 12, -36 = -5*k - 3*r. Solve 10*f - k*f + 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 40 - 8 = -3*l, -b + 59 = 4*l. Let a = 52 + -47. Suppose a*i - 485 = 5. What is the highest common divisor of i and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 6:55 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1592100\/66700 + 6\/46?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8689 - -4?\nAnswer: 8693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 168\/30 + (-2)\/(-5). Suppose -l = -c - 9 - 41, -3*c = -3. Let q = l - 36. What is the greatest common factor of q and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-7 - -8) + (-2 - -7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.01 times -3?\nAnswer: 3.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*k**4*o - 2751*k**3*o**3 + k**2 - k*o**3 + 16838*o**3 wrt k.\nAnswer: 144*k*o - 16506*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 + 5*z + 7. Let d = 59 + -39. What is the remainder when p(-3) is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 9 + -1 + -8 - 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 + 0*u**2 + 2111*u - 13 + u**2 - 2096*u. Suppose -54 = -4*c + 2. Let q be d(c). Sort -5, -1, q in descending order.\nAnswer: q, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1710 = 5*n, -n = -5*n + 2*r + 1370. Let l = 339 - n. Put 9, -2, l, 5 in descending order.\nAnswer: 9, 5, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 10*j - 4. Let p be l(-8). Suppose -b + z + 1 = -6, z = 2*b - p. Solve 12 = -2*d - 4*x, 0 = -b*x + 3*x - 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/6 - n**3 + n**2 + 3*n. Let r be m(-3). Let c(p) = -p**2 - p. Let g(u) = 6*u**2 + 5*u - 1. Give r*g(j) + 11*c(j).\nAnswer: j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -3. Suppose -a*l = -18 + 3. Suppose 19 = l*w + 4. Solve 5*g = -5*y + 20, -g - 2*y = -w - 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -332467, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3890357 + 6844719. Let a = 2954376.99957 - c. Let p = a + -15. Round p to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20176, -19179, -18182?\n\"Answer: 997*y - 21173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-52) + 2\/(-52)*-22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44771545.7897614 plus 1?\nAnswer: -44771544.7897614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.08\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15010, 29556, 44104, 58654, 73206, 87760?\nAnswer: 102316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + -2*sqrt(1008)*-2)\/(4*(sqrt(36)\/(sqrt(9) + sqrt(63)\/sqrt(7) + sqrt(9)) - sqrt(4))))**2.\nAnswer: 14175\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*b*i*q - 1817*b*i + 83*b*q - 3*i*q - 91*i + 109*q wrt q.\nAnswer: -6*b*i + 83*b - 3*i + 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 353 (b) -2\/7 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = 5*i. Suppose 2*j - i - 11 = 0. Let y = -3 + j. Solve 0*f + 2*f = -r - 7, -5*r - 14 = y*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -131*i + 24. Is p(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Let w = 34 - 34. Let m(v) = -3*v + w + h. Let q(o) = 2*o. Give q(m(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926396 is divided by 187?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**4\/8 + 4443*h**3\/8 - 5100645*h**2\/8 - 20495571*h\/8 + 12795885\/4 = 0?\nAnswer: -2239, -5, 1, 762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 9:18 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10414, -11816, -13218, -14620?\n\"Answer: -1402*j - 9012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -41238066?\nAnswer: -41238066.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 27\/4 of a day?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmtsclq. Give prob of sequence lq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) - (-3)\/(-9). Let p be (-1)\/s + 2\/2. Find the third derivative of -3*x**p + 0*x**2 + 0*x**4 - 2*x**4 wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + sqrt(76)\/sqrt(4)) - ((-2 + sqrt(19))**2 + -4 + (sqrt(133)*1)\/sqrt(7)).\nAnswer: -9 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -70. Let t = x - -53. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from wgaw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 7*v - 246 = 0. Let g = -35 - v. What is the first derivative of -g*r**4 + 1 - 2 - 6*r**4 wrt r?\nAnswer: -48*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 39447.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*l + 108, -5*l + 70 = -2*l + 5*s. Let n(z) = -2*z + 24. Let o be n(7). What is the highest common divisor of o and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*k - 59*k - 710*k**3 - 52*k.\nAnswer: -710*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24557.\nAnswer: 13, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 13685966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2680, -10402, -23164, -40966, -63808, -91690, -124612?\nAnswer: -162574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 1003 - 980. Suppose 0*q + 6 = q. What is the remainder when o is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8139*z = -8319*z + 14760 for z.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 92*o - 93*o + 65 = 0, 41*s + o - 321 = 36*s for s.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -772, -1533, -2276, -2995, -3684, -4337, -4948, -5511?\nAnswer: -6020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1260943.\nAnswer: 653, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -6. Suppose -2*h = -10, -3*l + 2*l - 4*h = -27. What is the second derivative of -g*c**3 + l*c**3 + 2*c**3 - 2*c + 3*c wrt c?\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*i = -7, 4*c - 6 = 3*i - 8. List the prime factors of ((-12)\/9 + c)*-57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4622, 4623, 4624, 4625?\n\"Answer: n + 4621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34\/9 + 40\/9. Let f = 4.94 - -0.06. Put f, a, -1 in descending order.\nAnswer: f, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 8. Sort -6, 3, h.\nAnswer: -6, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 5:50 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 + (10 - (98 - 85 - (3 - 8))).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12258, 50001, 112904, 200967?\nAnswer: 314190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10887 by 57.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1130*t + 14337 + 9396 = 943 - 25800 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 3) + -3 - 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21127881 * 2.6\nAnswer: 54932490.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-20 - -39) + (-2 - 4) + 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2380 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 452 and 125204.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) + 46\/6. Let m = l + 2. Suppose 0*z + m = z. What is the lowest common multiple of 20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkf when three letters picked without replacement from {x: 1, f: 1, w: 2, k: 9}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4144 and 224?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 12 = -4*o. Suppose -4*p - o = 2*w - 3*w, -5*p = 4*w + 7. Solve 3*d - 2 - 7 = -2*m, 0 = w*d - 4*m - 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11, -317, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - 69 + j**3 + 5822*j**2 - 5822*j**2.\nAnswer: -j**3 - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68910973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.4 - -11.4. Which is the closest to h? (a) 0.22 (b) 4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -27 + 3 + 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 75642036 and 8104.\nAnswer: 75650140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 13*i**4\/2 - 4*i**3 + 271*i**2\/2 + i - 76. Is a(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 126.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 770138869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -12ba10?\nAnswer: 12ba0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 29*a**2 + 57*a**2 + 62*a**2 - 146*a**2. Let n(i) = 4*i**2 + 4*i - 139. Give n(u(b)).\nAnswer: 16*b**4 + 8*b**2 - 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 53*v**2 + 3*v. Let p(l) = 53*l**2 + 2*l. What is -4*n(t) + 6*p(t)?\nAnswer: 106*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -67637249\nAnswer: 67637248.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*m - 1. Suppose m = -5*p + 4*t + 15, -t - 17 = 2*p + 2*t. Let w be -3579 - (p\/2)\/(8\/(-16)). What is w rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*j**2 + 5357*c + 2*j**4 + 5*j**3 - 6*j wrt j.\nAnswer: 2*c*j + 8*j**3 + 15*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - 24 + 24)*(0 + 0 + 8)*((-2 + 2 + 2)*(-3 + 3 - 2) - 1 - 2 + 5).\nAnswer: 80*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -1 + (-12 - -13). Let l(q) = -8*q + 3. Let s(b) = -7*b + 3. Calculate u*l(k) - 6*s(k).\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -562229*w**2 + 73340*w + 24 wrt w?\nAnswer: -1124458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -282*y**2 - 10*y + 4. Let p(r) = -423*r**2 - 16*r + 6. What is -5*p(n) + 8*w(n)?\nAnswer: -141*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0282 and -0.4.\nAnswer: 0.01128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2038?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 2*v + 3. Let x(f) = -2*f - 4. Determine -3*p(s) - 2*x(s).\nAnswer: -3*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -3.7, -1\/8, 0.5 in increasing order.\nAnswer: -3.7, -2\/15, -1\/8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 24*u - 17. Let b(t) be the third derivative of t**4\/3 - t**3 - 836*t**2. What is 8*b(c) - 3*x(c)?\nAnswer: -8*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -23. Solve u = -2*v - 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 1 = -5*t - 0, -3*t + 15 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1564 divide 131758168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + 174. Suppose 579 - x = 11*l. Suppose -i + 9 = -l. Calculate the remainder when i is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-102)\/(2\/(-8)*-4*-2). Suppose 2*d + 39 = -3*o, 0*o - 3*o - p = 3*d. Is 18\/d + (-55)\/(-2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164004?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30007.\nAnswer: 37, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 + 224*x**4 + 220*x**3.\nAnswer: 4*x**3*(x + 1)*(x + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 3*(-5)\/2955 + 2. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(3 - (3 - 1)). Suppose -s = y*s. What is the second biggest value in 0.5, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-251)\/3 + (-1)\/3. Let p be (-7 + 2)*x\/10. Suppose q - 3 = 3. Calculate the highest common factor of p and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*f - t, -2*f - 5*t = -10*t + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 185, 29, -127, -283?\n\"Answer: -156*n + 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u. Let c(q) = q**3 - 7*q**2 - 19*q + 8. Let d be c(9). Let b be (5\/20 + (-26)\/8)\/d. Let h(o) = -o. Determine b*w(m) + 15*h(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4042320 is divided by 549?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 469 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 673, -3\/2, -133972 in increasing order.\nAnswer: -133972, -3\/2, 673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2935854638?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86544081 and 2925?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 195 + 279*f**2 + 203 - 398 as p + r*f**2 + v*f and give r.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -3*u**4\/4 - u**3\/3 - 12*u. What is the second derivative of a(y) wrt y?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.34 - 3.7087695407?\nAnswer: -1.3687695407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -1\/3*r**3 + 0*r + 0*r**2 + 1\/4*r**4 + 4. What is the third derivative of y(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 23. Suppose -3*k + 2*a = -25, -s*k - 4*a = a. Find the second derivative of -46 - 22*w + 46 - 2*w**k wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1388, -2, -60, -3, 5, -16 in decreasing order.\nAnswer: 1388, 5, -2, -3, -16, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561*k - 566*k - 12 = -2*z, -4*k + z = 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 + -124 + (-8 - 80) + 8?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*h + 13 = 0, -10 + 23 = q + 3*h. Let g be -1*q\/(2 - (-25)\/(-10)). Solve -c - 2 = -g*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -7 + 5 + 169 + 6 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnyyj. What is prob of sequence njn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2. Let o(x) = -x**3 - 18*x**2 + 33*x + 35. Let k be o(-20). Let p = k + -178. Let c(l) = l + 3. Calculate p*c(b) - 4*u(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*n + 9, -5*y - 15 = -2*y - n. Let d = -3 - y. Solve -2*w = -d*w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.58057ng in kilograms?\nAnswer: 0.00000000007658057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a centimeter in millimeters?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -513 + 489. Let o(s) = s**3 + 26*s**2 + 48*s + 5. Let i be o(r). Solve -i*u = 2 - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 8, -5*m = 4*j - 51 - 85. Suppose -j = -5*r + 46. Solve 2*o - 22 = -t - 3*t, -2*t = 5*o - r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) 15 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Suppose 3*f - 49 = -h, 3 + x = f. Let u be (-4 + 7)\/(6\/h). Solve -4*v = v - u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16194820 = 104*x - 549180. Round x to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176 (base 9) to base 15.\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 178*y - 714. Determine r(6).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2137 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 + -77.86. Round t to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 - 95*r**2 - 36*r + 128. What is i(32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b\/(b**(2\/7)*b*b)*b)**(-14)\/((b**4*b)\/b**2))\/(((b**2\/b)\/b)**1\/(b*b\/(b*b*(b**2*b)\/b*b))**(5\/2)) assuming b is positive.\nAnswer: b**(-97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-920*p + 27 - 27).\nAnswer: -1840*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2554201 (base 8) to base 5\nAnswer: 140221120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 9:21 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 48. Suppose -11 = 2*a + f*b, 0*a + a + 23 = -5*b. Solve 4*h = 5*c + 6, -h = -c - 2*c + a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0067 in -2, -2\/7, 1\/523?\nAnswer: 1\/523","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Let o(q) = -89*q - 12. Let y(a) = 29*a + 4. Let z(s) = -3*o(s) - 8*y(s). Calculate b(z(m)).\nAnswer: 70*m + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, 2, -0.403, -2\/9, 1.4, -1.7, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41624 is divided by 225?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a55 (base 12) in base 15?\nAnswer: -e58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -35002364?\nAnswer: 1050070.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 3, b: 1}. Give prob of sequence bh.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 608, 702, 848, 1046, 1296, 1598, 1952?\n\"Answer: 26*x**2 + 16*x + 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -437.33 + 466.9. Let i = u + -30. Let w = i + -0.07. Is -1\/2 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 2341*m**5\/60 - 145*m**3\/2 + 227*m**2 - 3. Differentiate k(g) wrt g.\nAnswer: 4682*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(-76*z**3 + 5*z - 51*z + 75*z**3)*(3*z**2 - 3*z**2 - 3*z**2).\nAnswer: 9*z**5 + 414*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zunuuuufuzununn. Give prob of sequence zfn.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32904 and 4843512.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 16) to base 15.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 172, 103, -36, -269?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + 4531?\nAnswer: 4521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 7:37 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1571.3 rounded to the nearest integer?\nAnswer: -1571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212011101 + 10021102010?\nAnswer: 11010120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**7\/14 - 22*r**6\/15 - 397*r**3\/3 + 313*r. Find the second derivative of m(d) wrt d.\nAnswer: 60*d**3 - 528*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178765 is divided by 8895?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82808173?\nAnswer: 7, 17, 695867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 18233610.5 to the nearest 1000.\nAnswer: 18234000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3\/59, 2\/11, 3, -13, 2?\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9.88*-1.11\nAnswer: 10.9668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -696 divided by -24\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/850 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*u - 10. Let h = u - -4. Determine n so that 1\/4*n**3 - 1\/4*n**2 + 1\/4*n**4 + 0 + h*n - 1\/4*n**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**4\/4 + 2595*m**3 - 1784375*m**2\/2 + 25030875*m - 733663125\/4 = 0?\nAnswer: 15, 395, 1651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 1828676?\nAnswer: -1828671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -22. Suppose 4 = b + 2*o, -4*b + 3*o = i*o - 21. Let k = -11 + b. Put 0, 2, k in decreasing order.\nAnswer: 2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 639789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/17 - 2982*j\/17 - 8964\/17.\nAnswer: 2*(j - 1494)*(j + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 11. Let k(x) = 3*x - 3*x + x + 10. Let o(f) = 5*k(f) - 4*l(f). Is o(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (6 - 2) - (-7 - -4). Is 2*451*(f\/2 + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/16)\/((-9)\/(-24)). Let b(d) = -7*d**3 - d**2 + 7*d. Let q(g) = -20*g**3 - 3*g**2 + 20*g. Determine y*q(f) + 17*b(f).\nAnswer: f**3 + f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -8\/3. What is the nearest to 0.4 in v, -3, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5431814189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290202679?\nAnswer: 1031, 1251409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*k + 2\/7 - 2\/7*k**2 + 2\/7*k**3.\nAnswer: 2*(k - 1)**2*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 l when three letters picked without replacement from aaaxxaalxlaxlaalaall.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 280*l + 308*l - 1175*l - 54*l + 884 + 254*l wrt l.\nAnswer: -387","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8))\/(1\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*v = -0*w - 16, -w = -4*v - 21. Is 1\/4 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -124 and 0.01.\nAnswer: -123.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -14 - (-117 - -136)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123404 (base 5) to base 2.\nAnswer: -1001011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 2. Let d be u(-4). Let j(k) = 3 + 0 - 16*k + 15*k. What is the units digit of j(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 47. Let m be 8 - 7 - ((2 - 2) + r). Let f be 2\/m*(1192 + 8). Round f to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166 or 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002865891 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/(c*c*(c\/(c*c\/((c*c**6)\/c)*c))\/c)*(c**(-1\/2))**(-11))**12 assuming c is positive.\nAnswer: c**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 + -11?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8491071, -8491037, -8491003, -8490969, -8490935?\nAnswer: -8490901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9260 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 0.02017?\nAnswer: -0.012102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**4\/6 - r**3\/6 + 90*r**2 - 1. Let i(s) = 12*s + 3. Give -3*i(h) - 8*q(h).\nAnswer: -4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 5. Suppose -s + 5*d - 12 = b, -s + 5*s - 5*d = -3. Factor -4*o**2 + 6*o**s - 3*o**3 - o**3.\nAnswer: 2*o**2*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-9) - 212\/(-18). Let j = 19 - w. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 + -0.13. Let j = -1.2 - g. Let m = -0.5 - j. Which is the second smallest value? (a) 3\/2 (b) -1\/8 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 13 + (-4 - (-20 - -10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**4\/8 + 5943214*y**3 + 282574364971223*y**2\/4 + 141287164655970*y + 565148634851025\/8 = 0.\nAnswer: -23772855, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 8076*g**2 - 29*g**3 - 8059*g**2 + g + 16135*g**2.\nAnswer: -29*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 69, 50, 13, -54, -163, -326, -555?\n\"Answer: -2*i**3 + 3*i**2 - 14*i + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 392488*j**2 + 178*j - 246.\nAnswer: 784976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 197 + -200. Is (-3 + (-10)\/u)\/(1\/249) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 476.7819079 to 0 dps.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3527884150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 9601886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -288769 or -288767?\nAnswer: -288769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/8)*n)**24)**(2\/25) assuming n is positive.\nAnswer: n**(54\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/28 < -3289\/265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/20? (a) 21 (b) -0.07 (c) -2 (d) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -57570000 rounded to the nearest one million?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(13) + -4 - sqrt(26)\/sqrt(2)*2) + 4.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -139 + 203. Let g = 62 - z. Let r = -7.7 + 8. What is the closest to r in -5, g, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lccttllcttllccclclt. What is prob of picking 3 c?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 - 4*u + 2. What is the remainder when g(9) is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23)\/51 - (-64)\/544. Let z = -259\/72 + 27\/8. Which is the nearest to d? (a) -1\/6 (b) z (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -51, -120, -207, -312, -435?\n\"Answer: -9*m**2 - 42*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -196*s + 196*s - 13*s**3 + (2*s - 3*s - 2*s)*(-3*s**2 + 4*s**2 + s**2).\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10104 + -10102. Solve 647*b = 646*b - p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 1, r: 1}. Give prob of sequence dr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 4)*(-40*v + 40*v + 3 - 3*v**4 + v**2) in the form f*v**2 + z + k*v**4 + b*v**3 + s*v and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - 1)*(-6)\/14. Suppose -3*a = -3 - i. Solve 2 = -4*o - a*f - f, 0 = -5*o - 3*f - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*o)*(1 - 1 - 2)*(-69 + 25 - 57).\nAnswer: 404*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 8 - 2 = j, 3*l - 3 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20087 + 14087. Let k be 2*(1 + 6\/4). Let j be (38\/(-6))\/(k\/g). What is j rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 308.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-14) - 6*639\/(-189). Solve -3*f + f + 2*u = -x, 0 = -3*f - 3*u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -30 + -10 + 17.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377425 is divided by 601.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 b when three letters picked without replacement from mmmwmghbm?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*c)*(5*c**3 - 4*c**3 - 3*c**3) - 13*c**2 + 13*c**2 - 9*c**4 - c**4 + 2*c**2 - 2*c**2.\nAnswer: -14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 91.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 2*z - z + (3*z - 5*z + 0*z)*(2 - 1 - 3) + 4*z + 3*z - 4*z + 3*z + z - 3*z)*(-4 + 0 + 2) + 2*z - z - 3*z.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*f, -f + 16 = 5*b + 3. Let z be 2*(b - (-58)\/(-30)). Let l = -119 - -124. Sort l, z, -4\/7.\nAnswer: -4\/7, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 54 - 37 = 10*f. Let o be 30\/(-72) + 2\/6. Let p = -3 + 6. Which is the smallest value? (a) f (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8222756 is divided by 1820.\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 8) + 2 + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 29. Suppose -2*r + h*r = 40. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -7 - ((-115 - -16) + 91)) + 58?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 + 137552563*c\/2 - 18920707587868969\/4.\nAnswer: -(c - 137552563)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 4, 5, -2\/73?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t = 0. Suppose -5*a - 2*n + 86 = 0, 0 = 5*n - t*n - 15. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 5880 = -2*g. What is the remainder when -5*(2\/7 - 15428\/g) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12510 and 11259?\nAnswer: 112590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 times -3.03018?\nAnswer: -163.62972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 427*p - 19460. Calculate h(45).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3 + 286826*w**2 = 0.\nAnswer: -143413, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 52 - 67 - p - 8.\nAnswer: -p - 180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**2 - 26*i + 1. Let k(b) = b**3 + 5*b**2 + 3*b + 1. Let s be k(-4). Let m be f(s). Let d(n) = n**2 - 9*n. Is d(m) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/15)\/(3\/(-15)). Let b(v) = -3*v**2 + 8*v + 5. Let x(q) = -2*q**2 + 7*q + 4. Let s(c) = -3*b(c) + 4*x(c). Determine s(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t - 5 + 5. Let m(r) = 4*r**2 - 2*r - 2. Let z(v) = 0 + 8 + v - 3 - 4. Let x(s) = -m(s) - 2*z(s). Give x(u(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*d**3 + 40*d**3 + 9*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 1. Determine o(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4495.6048 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3235*x + 1061094. Calculate b(328).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.615229 millimeters in micrometers?\nAnswer: 7615.229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*r - 1 - 3 + 4 + 57*r**2 wrt r.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aateeaxepzxpez. Give prob of sequence ezex.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 32*n**2 - 104*n - 34. What is c(35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9245 + 15383. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 82.28228 millimeters?\nAnswer: 0.00008228228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.40885152768 to two dps.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.9 and 105.\nAnswer: 199.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 + (-138)\/30912*23212?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/18 - ((-4550)\/(-441))\/25?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**5 + 4*q**5 + 0*q**5 - 3*q**5 + 10*q**5 + 12*q**5 + (4*q**4 - 2*q**4 - q**4)*(-2*q + 2 - 2) - 2*q**5 + 0*q + 0*q.\nAnswer: 23*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 144777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 237\/8. What is the fourth biggest value in -2, j, -1\/3, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -0.4, 7, -80\/3, -7\/8?\nAnswer: -80\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, -38\/5, -0.421?\nAnswer: -0.421","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.745 + 0.075. Round u to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53\/265)\/((-4)\/(-10))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 232743600 and 41893848?\nAnswer: 2094692400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**3\/9 - 568*k**2\/3 + 322624*k\/3 + 1906. Solve v(f) = 0.\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5785.419 kilograms in grams?\nAnswer: 5785419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s + 5*c - 17 = 0, -s + 21 = 5*c. Let y be (s + 3 + 0)*4. Suppose 0 = 3*w - 4*h - y, -3*w - 3*h = -5 - 4. Which is smaller: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482864.9 nanograms to tonnes.\nAnswer: 0.0000000004828649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053 times -655?\nAnswer: -34.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 - (-2)\/(-7). Let z be 2\/(-8) - 135\/10. Let l = 14 + z. Which is the closest to i? (a) l (b) 0.5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyfryyyysyryyrf. Give prob of picking 1 s and 3 r.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, q: 2, z: 2, m: 1}. Give prob of sequence vqz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100100111110110 - -10101110001?\nAnswer: -100100010010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -8 in descending order.\nAnswer: 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157.639 - -0.361. Let c = v - 122. Let d = 39 - c. Sort 0.05, 0.5, 1\/3, d.\nAnswer: 0.05, 1\/3, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/23, 0.4, 4\/1849, -2\/7, 2 in descending order.\nAnswer: 2, 0.4, 4\/1849, -2\/23, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ohhoohohooo?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 - 1.14. Sort n, -1, 2.\nAnswer: -1, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - -64 - (20 + 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.02 (c) -4 (d) -0.3 (e) -5 (f) 2 (g) -7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1131*i - 59780 = -1004*i for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5 - 9 - w + 3*w. Let b be i(-4). Let n be (-3)\/9 + (-13)\/b. Sort 4\/5, n, 6\/5.\nAnswer: n, 4\/5, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1076*d**2. Let n(a) = 79*a. What is n(z(p))?\nAnswer: -85004*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0234183 and 0.4?\nAnswer: 0.00936732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 256756 at least as big as 256754?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 46*v**3 + v**2 + v - 1. Let z(u) = u**2 + 10*u + 9. Let o be z(-9). Suppose 0 = -n - o*n + 1. Is y(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (132*k**3 - 31*k**3 + 13*k**3)*(6*k + 62 + 7*k - 15*k) in the form z*k**4 + h*k + v + u*k**2 + t*k**3 and give z.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21285 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 5, -0.1, -1\/9, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c\/(c\/(c*c**(-1)))*c*c*c)))**(-27)*c**(-8)\/c*c*c**(-6)*c assuming c is positive.\nAnswer: c**(-121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-2))\/(-5) + -46. Let x be (-82)\/60 - (-6)\/w. Which is the nearest to 44? (a) -0.3 (b) -5\/6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 5*u**4\/24 + u**3\/6 - 3*u**2. Does 14 divide f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - 1 - (424 + -398)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10571 is divided by 893?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*x + 3*x. Suppose x*a + 4 = 94. Let f(n) = 6*n**2 + 0*n + 31 - 3*n - a - 16. Let j(t) = -2*t**2 + t + 1. Determine -6*f(g) - 17*j(g).\nAnswer: -2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1483*l - 32655. Calculate x(-22).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*g**3 + 100*g**3 + 105*g**3 - 426*g**3 + 105*g**3.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -0.1, 5, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1658592 and 62463?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.8 - -9.8. What is the nearest to 0 in h, 4, -1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - 30*g - 74*g**4 + 155*g**4 + 2*g**2 - 5*g**2 - 80*g**4 + 2 as d*g**2 + o*g**4 + i*g + s*g**3 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-4 - -6) + (3 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 7:56 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7358565 rounded to two decimal places?\nAnswer: -1.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d**2 - 10*d - 18. Let z(n) = n**2 + n. Calculate x(b) + 10*z(b).\nAnswer: 2*b**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -39*d**2. Let f(x) = -x. Calculate v(f(k)).\nAnswer: -39*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 13. Let n be k(-17). Sort n, -12, 5 in descending order.\nAnswer: 5, n, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 10:30 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 1, 2\/9, 1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -255*g**2 + 17*g + 17. Let x(f) = -32*f**2 + 2*f + 2. Determine 2*p(y) - 17*x(y).\nAnswer: 34*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 20 = h, h + 5*y - 20 = -0*y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(6\/(-66))\/((-1)\/(-1))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11123*f = 22224*f - 11112*f - 374 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -227 >= -231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.425 - -0.425. Which is the nearest to 1? (a) k (b) 2\/9 (c) 4\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(84\/16)*18\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l - 14. Give w(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.532 - 2916.468. Let k = p - -3072.1. Let z = 158 - k. What is z rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 11:38 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9.748*849.1\nAnswer: -8277.0268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 + 24525*q\/2 - 5339942.\nAnswer: (q - 428)*(q + 24953)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q - 2*q**2 - 10*q**2 - 4 + 16*q**2 - q**3. What is p(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02574605 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-410)\/5*3\/2. Let r = 125 + v. Solve -1 = -5*w - r*x + 3*x, -5*w - x + 9 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1759 + -1159. Is (-3)\/(-9) + t\/9 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s - 671. Let a(b) = 4 - b - 1 + 0. Give -a(v) - 6*o(v).\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.38 (b) -0.4 (c) -0.5 (d) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 + 43*z**2 - 97*z + 41. What are the prime factors of b(17)?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceyaaeyf. Give prob of sequence ecfa.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 29 = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 10:20 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8088 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5b37 + -6c3?\nAnswer: -630a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 9 - 6 = -j, 3*n + 69 = 7*j. Suppose 0 = 2*c - 2, 4*v = 7*v - 2*c - 211. Calculate the remainder when v is divided by (240\/(-360))\/((-1)\/j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 433007 = -4*g - 433000, 0*z = -4*g - 2*z + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 35 + 1 + 1 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 0*y**2 + 7*y**2 - 2*y**2. Suppose 14*t = 21*t - 294. Let p(s) = -51*s**2 - t*s**2 + 96*s**2. What is p(v(c))?\nAnswer: 75*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8*j**2 - 21*j + 13*j + 0*j**3 + j**3 + 21. Let p = 173 + -182. What is the remainder when 19 is divided by i(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geeefgfegegefe. Give prob of sequence ff.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31316, 31321, 31330, 31343, 31360, 31381?\n\"Answer: 2*n**2 - n + 31315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43271, -43264, -43257, -43250, -43243?\nAnswer: -43236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a08 (base 13) to base 7.\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x**3 - 7*x**2 + x - 7. Suppose -s - 3*s + 12 = 0. Let b(z) = -2*z**3 - 4*z**2 + z - 3. Let c(y) = s*h(y) - 7*b(y). List the prime factors of c(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-3) + ((-561)\/(-66) + -10)\/((-3)\/2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 - 0 - (-141 + 48 - -109)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 1. Let i(h) = -14*h**4 - 6*h + 3. Let j(x) = i(x) + 6*q(x). Differentiate j(k) wrt k.\nAnswer: -56*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1116 and 56652.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112*o - 5*o**2 + 112*o)*(-1339*o + 1339*o + 41*o**3).\nAnswer: -205*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 109.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19882, -19885, -19888?\nAnswer: -19891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -82ce20e?\nAnswer: 82ce210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42420 = -753*w - 459*w for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001020382 to six decimal places.\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/12*-6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 21*y - 4*y**2 + 7 + 3*y**2. Is 28 a factor of u(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -2 - (5 + 3) - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 63 - 25 = 12*v. Solve v = 2*s + 2*s + 5*j, 0 = s - 5*j - 19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (4 - 24\/4). Suppose a*q = 6*q - 600. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*k + 7038 = -332. Is 394\/7 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, r: 10, j: 2}. What is prob of sequence yr?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**5\/60 - o**4\/8 - 5*o**3\/2 + 5*o**2\/2 + 129*o + 1. Let k(g) be the first derivative of f(g). Give k(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*d - 378 + 378. Find j such that -6\/7*j**2 - 1\/7*j + d - 12\/7*j**4 - 13\/7*j**3 - 4\/7*j**5 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 2719?\nAnswer: 2717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*s = -101*s - 3*t + 30, -4*t + 2 = -s. What is the highest common divisor of 930 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227517337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 48, 179, 392, 687?\n\"Answer: 41*f**2 + 8*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1618*l = -2969*l - 215589 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -62a4507?\nAnswer: -62a450c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.319 + 547.581. What is z rounded to the nearest ten?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12743.\nAnswer: 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-4) - (-2 + 2). Let i(c) = -2*c - 1. Let j be i(a). Suppose 5*r + 55 = 2*y, -j*y - 2*r + 120 = 3*r. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 2\/7 (c) -2\/3 (d) 5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23848 and 6233?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 875*d**4 - 2912*d**3 + 1512*d**2 - 761*d?\nAnswer: 21000*d - 17472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 939631171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 50050*y**4 + 236545*y**3 + 295955*y**2 + 110735*y + 1275 = 0.\nAnswer: -3, -1, -5\/7, -17\/1430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -54\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 7*l = 8*l + 23424, 4*w = 4*l + 46860. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1299711 and 8392.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 4:13 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3697252399 to the power of 1\/3, to the nearest integer?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 659 and -5.\nAnswer: -3295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*p = -635*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 8. Is f > -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -21*r**2 + 59*r - 8. Let x(l) = 43*l**2 - 119*l + 14. Let d(s) = -7*t(s) - 4*x(s). What is the second derivative of d(j) wrt j?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1824 = -5*q + x, -3*q - 8*x + 11*x + 1104 = 0. What is the highest common divisor of q and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.5, -1\/23, -6, -2 in ascending order.\nAnswer: -6, -2, -1\/23, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -44869?\nAnswer: -22434.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 1004, 3406, 8078, 15776, 27256, 43274, 64586?\nAnswer: 91948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4 - 40*c**3\/9 + 8*c**2\/9 = 0. Calculate c.\nAnswer: 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 3*j - 191, 953*z - j - 62 = 954*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62626.\nAnswer: 2, 173, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 160 = 0, -u + 124 = -4*z + 6*z + 4*z + 16*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -368*w - 83. Let y be d(18). Let k = -2536 - y. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -200*w + 1525 - 125. Let i(q) = -q**2 - 13*q + 141. What is i(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*b**2*n**3 - 8*b**2*n**2 + 2*b**2 + 69*b wrt n?\nAnswer: -21*b**2*n**2 - 16*b**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 3 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1035684 + -3?\nAnswer: -1035687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = -3*x, -48 = 2*b + 3*x. List the prime factors of 4\/(-6)*b*(-2 + 4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 0.06, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -333530201 + 2?\nAnswer: -333530155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23562555 to the power of 1\/2, to the nearest integer?\nAnswer: 4854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.1 - 16.9. Let r = -12.80532 - h. What is r rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 29492.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11020039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 3*v + 2*v)*(-162 + 569 + 395) to the form p + d*v and give d.\nAnswer: 1604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3 - 3 + 1 - 10*j. Let w = -248 + 241. Let c(m) = -5*m - 2. Let y(d) = w*c(d) + 3*r(d). Give y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5, 3, -5, -25, -63, -125?\n\"Answer: -m**3 + 3*m**2 - 4*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 + 9 + k + 35 + 15 - 26 as m*k + z and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 25 - 15. Calculate the remainder when x is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -12. Which is the second biggest value? (a) 0.5 (b) -0.6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 38412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*w = -43*w - 4. Suppose 4*i = -0*i + 44. Solve -i - 4 = w*y + v, 5*y = v - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2089*l - 3499. Let r(a) = 40*a + 1. Let g(c) = 10*r(c) - z(c). Differentiate g(o) with respect to o.\nAnswer: -1689","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-2 + 3 + 1)*(-g + g - 2*g) + (1274 + 81*g - 1274)*(-3 + 0 + 2).\nAnswer: -85*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 519, 1121, 1725, 2331?\nAnswer: 2939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**2 + 8*a + 3. Let z be j(-2). Sort -3, -9, z, -2 in ascending order.\nAnswer: -9, -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p - 9*p + 59*p**2)*(4 - 4 - 2 + (-1 + 5 - 2)*(4 - 4 + 1) - 1 - 3 + 5).\nAnswer: 59*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 657840.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, e: 1, i: 1}. Give prob of picking 2 d and 1 i.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.3 less than -0.5?\nAnswer: -64.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.67 - 5879016.7.\nAnswer: -5879021.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*z + 0 + z + (-3 - 1 + 5)*(19*z - 36*z - 19*z) + (z - 6*z + 2*z)*(0 - 4 + 2).\nAnswer: -26*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1566217074073 - -0.4.\nAnswer: -1566217074072.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -32*r**6 - 2*r**5\/5 - 3*r**2\/2 + 360*r + 363. What is the second derivative of v(x) wrt x?\nAnswer: -3840*x**3 - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-6)*((-1)\/4)\/(4\/16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 180000 = 7*m. Round m to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f - f**2 + f + 10 - 8)*((-3*f + 2*f - f)*(3 - 2 + 0) + 0*f - 5*f + 3*f) + 2*f**3 + f**3 - f**3 as n + a*f**2 + t*f**3 + d*f and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11565241?\nAnswer: 151, 191, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3)*5 - -5*-1*sqrt(3) - ((3*sqrt(3)*3 + sqrt(3))*-3)**2.\nAnswer: -2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 6*q + 3. Let r be p(5). Let i = 6 - r. Let l(n) = n**2 - 8*n + 6. What are the prime factors of l(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 3*m. Let k be v(0). Suppose -2*l + 6 = p, 3*p - 2*l - 3 + 1 = k. Solve -c = p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-16))\/(3 + (-50)\/16). Let p be ((-4)\/(-26) - (-942)\/(-39))*f. Calculate the highest common divisor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 3 (c) 2\/3 (d) -0.031 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) 0 (c) -530\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**5\/30 + 5*d**4\/3 - 612*d**2. Factor r(i).\nAnswer: -2*i*(i - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 8 = -x. Suppose 0 = 7*n - 50 - x. Calculate the lowest common multiple of n - (28\/20 - (-6)\/(-15)) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -2\/1109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*i + 9 = -21, 0 = 3*l + 2*i + 19. What is the third biggest value in l, 2\/3, 3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c - 1. Let n be f(-3). Let z = 44 + n. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(21)\/(sqrt(3) - (sqrt(3) + (sqrt(3) - sqrt(6)\/(sqrt(8)\/sqrt(4) + sqrt(2) - sqrt(2))) + sqrt(3))).\nAnswer: -sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*n**2 - 2*n - 86*n**2 + 0 + 2 in the form d*n + u + i*n**2 and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 19. Suppose -2*i = 0, -2*x - 19 = 5*i + 1. Let p be b(x). Is p greater than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2 (b) 1 (c) 6 (d) -13597\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - p = -18 + 5, 0 = 5*h - 3*p - 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + -1 + sqrt(1584) - sqrt(11))*-4 - (0 + sqrt(176) + sqrt(704)))**2 + -5 + (3 + sqrt(1584)*-2)*3.\nAnswer: -904*sqrt(11) + 118996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*(((1*sqrt(242) + -5 - (sqrt(242) + (sqrt(242) - (sqrt(242) + 0))*5)) + -3)*5)**2*-1.\nAnswer: -28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -446931 - 35156065?\nAnswer: -35602996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 4, q: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 3*n**2\/2 - 10*n - 30. Determine s(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/73)*u)\/u*u**(-3\/5)*(u*(u*u**(-42))\/u)\/(u*u**(1\/6)*u) assuming u is positive.\nAnswer: u**(-95819\/2190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -z - 9, -n = z - 4*n + 6. Suppose 0 = -4*b - 0*b + 20. Suppose 5 + b = 5*r. What is the highest common divisor of r and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 6 = p - 3*p, 5*p + 3*v = -1. Let u(s) be the second derivative of s**5\/5 + s**3\/6 - 5*s. Is u(p) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*w**2 + 19*w + 44*w**2 - 11*w + 19*w to t + g*w + x*w**2 and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5937 rounded to the nearest 100?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 5. Let p be -1*((-6)\/2 + 6). Let r be f(p). What is the units digit of (5\/r)\/((-3)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2067802 and 14.\nAnswer: 14474614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1188, 2329, 3470?\n\"Answer: 1141*b + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 34 - -63 - 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -0.3, 6\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = -20*d + 40*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - -17 - -8 - 23) + 8 + (-1 - 1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w - 7. Let o be 6\/(-4)*((-28)\/w + 1). Solve o*j + 3 - 9 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 19*u = -3*u. Suppose 0 = 3*b + 3*y + 9, u = -4*y - 8 - 4. Factor b*z + 0*z**2 + 0 - 1\/3*z**4 + 2\/3*z**3.\nAnswer: -z**3*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -31*b**3 - b**2 - b + 2. Give s(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4920568 at most 4920571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/24)*w)\/(w*w**(1\/38)))\/(w**(-12)*(w\/(w\/(w*w*w*w**(4\/5))))\/w) assuming w is positive.\nAnswer: w**(20821\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 34*k - 29*k - 753, -5*o - 173 = -k. What is the second smallest value in k, -0.1, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80159*b**4 + 389*b.\nAnswer: -961908*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -331 - -119. Let p = y + 218. What is the smallest value in p, -0.2, -0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 331, 310, 287, 262, 235, 206, 175?\n\"Answer: -m**2 - 18*m + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7 = -13. Suppose -2*q = 2*q - 5*t + b, 0 = -t. Let p = q + 12. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + (60 - 31 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.18? (a) -1\/3 (b) 0 (c) -291 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-20))\/((9\/30)\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3)\/(((g**(-5)*g)\/g)\/g*g))\/(g**4\/(g**(-1)*g)))**(-1\/44) assuming g is positive.\nAnswer: g**(-1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3374 times 243380?\nAnswer: -821164120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 4:01 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a199 - 1?\nAnswer: 2a198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14, 36, 72, 122, 186, 264?\n\"Answer: 7*h**2 + h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 3. Let u be p(-3). Let d be u + 4 - (-4)\/2. Find the third derivative of i**2 + 5*i**d - 3*i**6 - 3*i**6 wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -41*h + 4. Let f(a) = 82*a - 7. Suppose -8 - 116 = 31*x. Determine x*f(n) - 7*q(n).\nAnswer: -41*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 89 in increasing order.\nAnswer: -5, 1, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 863801710 to the power of 1\/2, to the nearest integer?\nAnswer: 29391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3650 or -10954\/3?\nAnswer: -3650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 31*g**2 - 26*g - 129. Suppose -4*l = 5*x - 150, 70*x - 67*x - 2*l = 90. Determine c(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2451 = -4*v + 2417, -4*i = 3*v + 28 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-5 - -1) + -391 + 368.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*k**2 + 4*k - 418*k**2 - 2*k - 2*k.\nAnswer: -303*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 96757021+101\nAnswer: 96757122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/88)\/(5\/40) + 2994\/5489?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(175)*-2*3 - sqrt(175)) + 3 + 1 + sqrt(175) + -3 + -2)**2.\nAnswer: 60*sqrt(7) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22 - (-5 + 6))*-1. Suppose 9 = h*i - 83. What is the highest common divisor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/70142824 and 151\/18?\nAnswer: 631285416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -122320 (base 5) in base 13?\nAnswer: -21b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**3 + 6*r**2 + 2. Let c(l) = 7*l**3 + 6*l**2 + l + 1. Let m(h) = 5*c(h) - 6*i(h). Determine m(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/154 and 11\/2380?\nAnswer: 26180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -10. Let g(i) = -53*i - 106. Let b(m) = -10*d(m) + g(m). Let y(q) = -35*q - 4. Determine 5*b(k) - 8*y(k).\nAnswer: 15*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041987541553265 less than 1.2?\nAnswer: 1.241987541553265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -22*j + 266. What is the remainder when j is divided by 7 + (2 - -2 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uy when two letters picked without replacement from {u: 1, y: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 736913257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11820460 is divided by 80.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - r + (-274 + 99 - 250)*(-1 - 8*r + 1).\nAnswer: 3399*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 829630, 829696, 829762, 829828, 829894?\n\"Answer: 66*w + 829564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/14 + 1472\/(-224)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 352.5727ml?\nAnswer: 0.3525727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 11*q. Suppose 5*b = 4*b + 11. Let g be j(b). What is the third derivative of g*u**2 - 4*u**2 + u**3 - 3*u**2 - 4*u**3 wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11359, -22789, -34219?\nAnswer: -45649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 16, y: 4}. Give prob of picking 1 a and 3 y.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from {h: 6, r: 3, c: 3, o: 2, b: 4, u: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m - 1. Let z be h(-1). Let n be (4\/12)\/((-1)\/(-6)). Factor -3*s - 4 - 3*s**2 + 2*s**n + z.\nAnswer: -(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -41*y**2 + 11*y + 43. Let c be z(-3). Let f = -349 - c. Solve 4*u - 12 = 4*v, -4*u + 26 = f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*w - 18*w + 585200000 = 0. Round w to the nearest one hundred thousand.\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f. Let q(y) be the second derivative of -y**5\/15 + 3*y**2\/2 - 20*y. Let k(j) be the first derivative of q(j). Give k(h(p)).\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 7011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2186216 is divided by 728684?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -1 - (137 + -187)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-5 + 20092) - (0 + 2). Suppose a = v + n + 149830, -4 = 2*v. Round a to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*576468.45.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {i: 1, m: 1, g: 1, n: 1, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2d5fa5 (base 16) to base 6\nAnswer: -143422405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73362\/5 + -519924\/35. Let y = h + 183. Which is smaller: -0.4 or y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 91 = -t, 0 = h + 7*t - 6*t - 50. Suppose -4*q - 4*z = -56, -4*q + 2*z = -h + 3. Calculate the remainder when 117 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 846317377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 18*w - 15. Let z be i(-17). Suppose 2*o + 63 = 6*o + 3*q, 29 = z*o - q. Suppose -2*v + 5*v - o = 0. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3024*a**3*f**3 + 5659189*a**3 - 29*a**2*f**3 wrt f?\nAnswer: 9072*a**3*f**2 - 87*a**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 947464 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*q + t, 2*q + t - 31 = 4*t. What is the greatest common factor of 40 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 12*d**3. Let j be u(1). Suppose 5*y = 6*v - 2*v + j, 3*v + 9 = -y. Factor 0*x - 2\/3*x**2 + y.\nAnswer: -2*x**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9240 by -220.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 158799*14.9\nAnswer: 2366105.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0951646 to 4 decimal places.\nAnswer: -0.0952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1053) + -1)**2 + 3 + -1 + sqrt(1053).\nAnswer: -27*sqrt(13) + 4215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 2. Suppose -23 = -w - 4. Suppose -13 + w = 2*d. Sort -5, d, k.\nAnswer: -5, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 + v**2 + 26*v**4 - v**2 + 2*v**3 - 27 as c*v**4 + z*v**2 + m + h*v**3 + u*v and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((21\/14)\/(12\/(-16)))\/32.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-306)\/81 + 4 - (0 + 2563). Let g = 2567 + v. Find the common denominator of -119\/12 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 193. Let d be (z\/(-20) - -6)\/((-4)\/(-10)). Let h be d\/(-48)*27 + (-1)\/4. Solve 5*f + 12 = -2*w + h, 2*f - 10 = 2*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 10:31 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 3 + 28 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745305363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1786456742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rytyityyiyytx. Give prob of picking 2 i and 1 t.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3368.79 nanometers to millimeters.\nAnswer: 0.00336879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145.4791 - 0.4791. Let f = 291 + -140. Let g = r - f. What is the third smallest value in 2\/7, -5, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1549*d - 40. Let t be x(-2). Is (t\/55)\/((-1)\/(-10)) a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1026176 and -0.11?\nAnswer: 1026175.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 510*j + 40. Let a be n(-10). Round a to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76176.7 kilograms in tonnes?\nAnswer: 76.1767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -0.18, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/((l*l**3)\/l)*l*l**(-12)*(l*l\/(((l\/l**3*l)\/l)\/l)*l)**28 assuming l is positive.\nAnswer: l**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000225793905 to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 16*a**3 + 19*a**2 + 4. Let x(y) = -33*y**3 - 39*y**2 - 9. Let l(d) = 9*s(d) + 4*x(d). Find the third derivative of l(p) wrt p.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7 - 2 - 5*w - 4. Let k(y) = -9*y + 2. Determine 11*g(z) - 6*k(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -3)*1*1. Let m be (-1)\/(-12) + (-1)\/3. Suppose 14*j = -8 + 78. What is the closest to 0 in j, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -47299828 and 0.03.\nAnswer: -47299827.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + j**2 + 5*j - 2*j + 8*j**2 + 19 - 4*j**2. Let q be w(-5). What is the third derivative of 28*y**2 + 5*y**4 - 13*y**q - 68*y**2 - 6*y**4 wrt y?\nAnswer: -336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.71*-505.68\nAnswer: 864.7128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42399314*l**4 + 99277*l?\nAnswer: 508791768*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260 and 105820?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 4*b - 8. Let d be v(6). Suppose -5*a - 28 = -t, 0*a + d = 4*a. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + (-2 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence deny when four letters picked without replacement from {e: 3, x: 1, y: 1, n: 3, d: 11}.\nAnswer: 11\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 14 + 0*w**2 + 12\/5*w**4 - 3*w**3 + 0*w - 3\/25*w**5. Factor b(d).\nAnswer: -3*d**2*(d - 15)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17212461?\nAnswer: 3, 7, 19, 179, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 635315 + -25410539\/40. Let y = v + -345\/8. What is the common denominator of y and 10\/33?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 7. Let b be a(6). Let l(w) = 2*w**3 - 6*w**2 + 5*w + 5. Let f(n) = -n**3 - n + 1. Let s(o) = b*l(o) + 3*f(o). Give s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*x**4 + 169*x**4 + 75*x**4)*(-3*x + 0*x + 4*x).\nAnswer: 331*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 2*r**3 - 1\/2*r**2 - 4 + 0*r. What is the units digit of h(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175 - -182. Find the second derivative of 133*k**4 + k - 1 - 253*k**4 + 137*k**4 - 12*k + n wrt k.\nAnswer: 204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2208 - 1165. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*n - 0*n + 3*c, 5*n = 5*c + 20. Let i(v) = v**2 - 4*v - 1. Let d be i(n). Is -1\/3 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 smaller than 1887906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4167386 divided by 2.\nAnswer: -2083693","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m + 28. Let y(p) = p**2 - 7*p - 3. Let b be y(m). Which is greater: b or -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*o - 1470. Let b = o - 114. Calculate the highest common factor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/((-2)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + 0 + 0 + (0 - 1 - 4)*(-2*k**3 + k**3 + 0*k**3) - 7*k**3 + 4*k - 4*k to the form p*k + v + j*k**3 + u*k**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 3:06 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 2. Suppose 66*p + 699 = -27. Let u(r) = -12*r - 33. Let z(f) = -6*f - 17. Let l(h) = -6*u(h) + 11*z(h). Calculate p*g(y) + 2*l(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - m = -3*m - 18, 0 = -5*m + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -162 - -180. Let o be (18\/108)\/(2\/i). Factor -3\/2*f**2 - o*f**3 + 3*f + 0.\nAnswer: -3*f*(f - 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 9:36 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**2 + 2*j + 11*j**2 - 10*j**2 to s*j**2 + w*j + a and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.7073km in micrometers?\nAnswer: 7707300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u - 133 + 430. Let w(d) = 3*d - 4. Let r be w(3). Suppose 13 = 5*c + i - 57, -r*c = 2*i - 70. Calculate the remainder when u is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -5*i - 40, 0 = 3*c + 5*i + 5 + 29 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 7*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-20))\/(1\/305). Let h = x + 280. Suppose -6*u + h - 8 = 0. Solve -4*l - l = u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5*((4*sqrt(18))\/sqrt(6) + sqrt(3)))**2 + 2).\nAnswer: 3754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 26 + 31)*(58*m - 14*m - 29*m)*(-6*m + 0*m + 4*m).\nAnswer: -1770*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -1.035?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36828 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57*32\/(-4560))\/((-3)\/50))\/(8\/(-66)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.71 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*h + 57 = -0*h, -4*r - 4*h + 212 = 0. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s**2 - 5*s + 5*s)*(-2*s + 2*s - s) + (-1 + 1 - s**3)*(2 - 1 - 2) + 57*s + 105*s**3 - 57*s in the form r*s**2 + q*s + t*s**3 + p and give t.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 1\/30 (c) -0.2 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84136027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -105.48, 4\/15, 13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3734, 7476, 11214, 14948, 18678, 22404, 26126?\nAnswer: 29844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45541528?\nAnswer: 2, 823, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0765 - -2571.13\nAnswer: 2571.2065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = j + j. Suppose 0 = -4*t + j*t - 20. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 13*p**2 + 15*p + 16. Calculate w(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59690525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (15 - (15 + -15) - (33 - 35)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5003.2538 to the nearest ten.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 + 5*n**2 + 3*n + 4. Let h be p(-3). Let i be 35\/2*(-24)\/h. Suppose -5*u = w - 175, 4*w + i = 10. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3208 and 1050219?\nAnswer: 8401752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 2. Let m be x(5). Let p be m\/(-30) + 4\/10. Let g be (-12 + 13)*((-42)\/(-10) + 8\/(-2)). What is the third smallest value in p, g, -1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**3. Let v(y) = -y**2 + y + 1. Let w be v(0). Let f be r(w). Suppose 5*x = -7*t + 2*t - 5, f*t + 3*x - 1 = 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300100 (base 5) in base 9?\nAnswer: 61676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -46064*q - 368520. Calculate g(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 120*a**2 + 0 - 3 - 81*a**2.\nAnswer: -201*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -5, -4678 in increasing order.\nAnswer: -4678, -28, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*t**5 - t**4 + 8571*t**3 - 10149603*t**2?\nAnswer: 4020*t**2 - 24*t + 51426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/6 - 5558*j**3\/3 - 6889272*j**2 - 25980426784*j\/3 - 1006502997760\/3.\nAnswer: -(j + 40)*(j + 3692)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 8416.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-8))\/(1\/10). Let f = 8.1103 - 0.1103. Sort f, -2, -0.6, t in descending order.\nAnswer: f, -0.6, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, -2, -0.5, -3, -4, 0.2.\nAnswer: -153, -4, -3, -2, -0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 57.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(i**3*i))\/i)*i)**30\/(i**(2\/5)\/i*(i**(-3)\/i)\/i) assuming i is positive.\nAnswer: i**(928\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5986, -6007, -6050, -6121, -6226, -6371, -6562?\n\"Answer: -a**3 - 5*a**2 + a - 5981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 439c (base 13) in base 16?\nAnswer: 24d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116 + (-90 - 25) + -72.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 2\/13*z**4 + 2\/13*z**2 + 0 - 2\/65*z**5 - 3\/13*z**3 - 40*z. Find a such that k(a) = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3*k - 2370, 233 = 2*c - k - 1344. What is the remainder when c is divided by 388?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -6, -31, -56, -81?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 799.4331 milliseconds to hours.\nAnswer: 0.00022206475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 443839568 a multiple of 1317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1323302231 (base 4) to base 9\nAnswer: 852482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 6*k + 2. Let i be a(-6). Let r be i - -1778*(-1 - -2). Suppose -3*p + r = -5*p. What is p rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 rounded to the nearest ten?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - f + 5*f)*(-4*f**2 - f**2 + 6*f**2) + (-f - f + 5*f)*(2*f**2 - 5*f**2 + 2*f**2).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354*t - 488 = -293*t. Does -77\/9 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, 2\/7, -18, 1\/4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 8:45 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (416976\/7448 - 56)\/(4\/(-42))\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**3 + 0*l**3 - 5*l**3 + (l + 1 - 1)*(0*l**2 + 0*l**2 - l**2) + 5 - l**3 - 5 + 4*l**3 + l**3 - 3 + 2.\nAnswer: -7*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 4*g + 141133, 5*m - 212493 - 22737 = -5*g. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 + -2 - (11 - 40) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 6*l**2 + 4*l + 7. Let w be p(5). Suppose -285*x + 170 = -118*x - 133*x. Solve q = x*q - w*d - 20, d = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -2*r - 3*s, 4*s - 32 = -r - 0*s. Let c = r + -30. Solve 5*n = -6*j + c*j + 14, n = -j + 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 225194.85110007 + -225204.8511. Let s = 10 + y. Round s to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11101000010011 (base 2) to base 10\nAnswer: -14867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-1))**10\/(r**(-5\/2)\/(r*r**6)))\/((r**0)**(1\/3)*(r*r*r*(r\/r**0)\/r*r)**(8\/15)) assuming r is positive.\nAnswer: r**(1121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -599, -2043, -4855, -9491?\nAnswer: -16407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a*z**3 - 18606*a*z - 2*a - 26994*z**3 wrt a?\nAnswer: -2*z**3 - 18606*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**3 + 7*j**2 - 196941*j + 196933. Determine l(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, a: 2, x: 5, b: 5, r: 2}. What is prob of sequence rre?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9703*i = 4*j - 9698*i + 8, -5*j = -3*i - 27 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 7*w + 3. Let n(b) = -2*b**2 + 6*b + 3. Let p be (18\/(-4))\/(51\/(-68)). Determine p*k(s) - 7*n(s).\nAnswer: 2*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 122628326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a factor of 133773715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*f**2 + 0*f + 0 + 105\/8*f**3 - 9\/8*f**4.\nAnswer: -3*f**2*(f - 12)*(3*f + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 180 or 190?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5282729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 8341, 17002, 0 in descending order.\nAnswer: 17002, 8341, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 119, 536, 1307, 2432, 3911?\n\"Answer: 177*s**2 - 114*s + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39625600 a multiple of 5075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/10)\/(6\/15). Let p be j\/(-6) + (-16)\/24. Let r be 4\/(5 + 3\/p). Solve d = 4*v + r*d + 5, -2*d = v + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14338416, 28676831, 43015246, 57353661?\n\"Answer: 14338415*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 10*r + 9. Let o be x(8). Let d(m) = m**3 + 7*m**2 - m - 3. Let h be d(o). Solve 2*p - 14 = 3*j + 2*j, -3*p = 5*j + h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246643?\nAnswer: 246643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*((1 + sqrt(2205) + sqrt(2205) + 3)**2 + ((sqrt(2205) + sqrt(2205)*3)*-5)**2) + 5.\nAnswer: 6048*sqrt(5) + 16035053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -41, -61?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1075 = -0*d - d, d = c - 365. Let q = 743\/2 - c. Calculate the common denominator of -3\/8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 12:11 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*i + 6, 4*b + i = -25 + 70. Let d = 25 - b. Suppose -2*c + d = -3*y, -5*c + 14 = -5*y - 16. Solve 5*t = c*g - 0*g, -5*g = 3*t - 24 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, u: 3, t: 2, i: 2}. What is prob of picking 2 l, 1 u, and 1 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - -3 - 8*-1. What is the biggest value in j, 1, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/24)\/((-2)\/(-75)). Suppose 0 = -4*a + v + 15. Suppose -8*y + 364 - 148 = 0. What is the remainder when y is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -115*o**2 - 112*o**2 + 224*o**2 + 16 - 10*o. Let n be b(-9). Calculate the highest common divisor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, o: 7}. Give prob of sequence osoo.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11224, 11267, 11322, 11389, 11468?\nAnswer: 11559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2*j = -4*r - 5, 0 = -2*j + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000468 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**4\/4 + 4*c**3\/3 - 2*c**2 - 6*c + 8. Let k be i(-4). Is 6 a factor of 3\/1*(2 + k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.3935mg in grams?\nAnswer: 0.1233935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 2*b**2 - 29*b - 12. What is x(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*i - 20 = 0. Let o = 4 + i. Suppose 5*b - 10 = 0, -4*b = -x - o*x + 257. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**3 - 5*d**2*r**2 + 80*r**2 wrt d?\nAnswer: 3*d**2 - 10*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56 - 331158827265.\nAnswer: -331158827209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -22*h**2 - 173*h + 2335. Give l(-15).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86)\/11 + (-8)\/44.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220830338 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.92773um to kilometers.\nAnswer: 0.00000009792773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b. Let c(d) = -3*d. Let a = -51 + 56. Give a*j(u) + 8*c(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 145.\nAnswer: 3\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 36. Suppose 13*v - 352 = m*v. Suppose -2*o + 4*a = -v, 5*a - 155 = -4*o - 5. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5096140 to the nearest integer?\nAnswer: 2257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 + 94*w - 101. Determine m(-34).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 46 = 9*a, 2786*c + 2*a - 150 = 2790*c for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p. Let k(c) be the second derivative of c**6\/720 + c**4\/4 + 2*c. Let m(t) be the third derivative of k(t). Calculate y(m(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17649 is divided by 563.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-5)*o)\/o)\/o*o*o)**3*(o\/o**(-18))\/o**(-25) assuming o is positive.\nAnswer: o**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aadaaaaaaaaaaaeaaa. What is prob of sequence eda?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2488456023 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.37 and 0.1?\nAnswer: 6.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2*(i*i**(-2\/13)\/i)\/i)\/(i**(-2\/7))**(-36) assuming i is positive.\nAnswer: i**(-859\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 179106395 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from joqxtjl. Give prob of picking 1 x, 1 q, 1 t, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1335 + -1239. What is the remainder when 449 is divided by h?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 - 3430*z**2 + 71758950*z\/7 + 1809011250\/7.\nAnswer: 2*(z - 6015)**2*(z + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 92966.59kg?\nAnswer: 92.96659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -16*m + 15. Suppose 0 = -m*v + 1354 + 2402. Let y = -461 + v. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*f - 4. Solve -4*z = -q + 6, -z - f*q = -3*q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3 - 14348*t**2 + 28712*t = 0. What is t?\nAnswer: -3589, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 672361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 442?\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/13, -81.218.\nAnswer: -81.218, -3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from ggjgggjjjggjzzggmmgj?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 210211021101022 (base 3) to base 7\nAnswer: 200405234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**17))\/m*m**(-2) assuming m is positive.\nAnswer: m**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 p when three letters picked without replacement from kkppp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 - -29. Let t = l + 289\/7. Let -t*s + 2\/7*s**3 + 0*s**2 + 0 = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6163962 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 7*f - 260000. Round f to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 35*r**6\/6 - r**4\/12 + 23*r**3\/2 + r - 59. What is the third derivative of f(z) wrt z?\nAnswer: 4200*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1\/5, 0.4, 12, -0.3, -5, -1.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -24. Let i = y + -13. What is the least common multiple of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b**2 - 58 + 58 + 0*b**2 + b**2 - 2*b**2 + (3 + 0 - 5)*(2 - 2 - b**2).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.9448 + 0.3792. What is j rounded to one decimal place?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101000010001000 (base 2) in base 14?\nAnswer: -15652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 67036 or 67043?\nAnswer: 67043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -267.777\nAnswer: 80.3331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 2\/3 (b) 0 (c) -5583972\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzu when three letters picked without replacement from zuzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1218 = -232*m + 638 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -4 (c) -3 (d) 34 (e) -2\/145\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 458023949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 46043245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 835 + 691 = 2*x + 2*h + 1384, 207 = 3*x + 6*h for x.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000343282 to six decimal places.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 12 = 9*w. Let g(j) be the second derivative of 0 + 0*j**2 - 1\/10*j**5 + w*j + 0*j**4 - 1\/6*j**3. What is the second derivative of g(o) wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003440476028 to seven decimal places.\nAnswer: -0.0034405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 382 = -4*l + 438, 196 = l - 3*u. Calculate the remainder when l is divided by 54.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71 and 41109?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3591 and 1064?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 17*n**2 + 73*n + 8. Let g be v(-8). Are g and -1\/268 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 2*y, -33 = 5*q + 5*y + 6 + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 877 + -820. Which is the smallest value? (a) g (b) 1 (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8616 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3462 (base 10) in base 11?\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 1\/16, 4, -3?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 41, 9, -2, 1 in increasing order.\nAnswer: -36, -2, 1, 9, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*w - 36 + 57*w - 122*w)*(-4*w + 2*w + 0*w).\nAnswer: 14*w**2 + 72*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 4*q - 282, 0*y = -5*y + 3*q + 261. Let i = 54 - y. What is i rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -13*u**3 - u**2 + 2*u. Let d be q(1). Let b = d + 17. Suppose -3*o - b*r + r = -1013, 0 = -2*o + 4*r + 642. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-310)\/403*(-6)\/15. Which is the smallest value? (a) -0.2 (b) -1\/7 (c) q (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, d: 1, k: 6}. What is prob of sequence ff?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 o when three letters picked without replacement from covctocvtatzovvvto.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, -79, -3805?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3cd0 (base 16) in base 9?\nAnswer: 23317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32\/9 + 11\/3. Is m <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21924 is divided by 92?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4815*n + 3*n**4 + 2*n**3 + 4813*n - 26 + 3968*n**2 - 3967*n**2 in the form m*n**3 + a*n**2 + b + c*n + i*n**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 424.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 956153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 6 = -3*a - a, -2*a = -c. Let m = -4 + c. What is the third derivative of 3*l**2 + l**3 + 0*l**3 - l**m wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 5*r**2 + 3*r**2)*((-4*r - 3*r + 3*r)*(-2 + 3 - 3) + 2*r + 2 - 2).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/6 - 23*r**2\/6 + 107*r\/2 - 99\/2 = 0. What is r?\nAnswer: -33, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40311 - 26794. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1096916 to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-143)\/((-50050)\/(-420)))\/(4\/5)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 22. Let q be y(-12). Let w = -34 - q. Which is smaller: w or 28?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 702.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10326 + 25078 = -1121*w - 7442 - 26009 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15694*w**3 + 15658*w**3 - 144*w**2 - 31350*w**3.\nAnswer: 2*w**3 - 144*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1819, 10, -1, 2 in descending order.\nAnswer: 1819, 10, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.31\nAnswer: -1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13867 + 13862. What is the nearest to p in -1\/6, 5, 0.4, -55?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**2 - 27201*w - 62589114 = 0.\nAnswer: -1902, 10969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + (-5 + (3 - 4) - -117). Calculate the highest common factor of 9434 and n.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 7:49 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3360912?\nAnswer: 2, 3, 70019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3762.95 + -3763. What is the nearest to -5 in -2, l, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 3614 + 36657. Is 92 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -40*o + 7. Let k(m) = -27*m + 5. What is -7*k(z) + 5*x(z)?\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5224837813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*h - x + 1 = 0, -7 = -h - 3*x. Is (38*h\/1)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151207 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: b\"What is the jth term of -1091, -4116, -7117, -10082, -12999, -15856, -18641?\n\"Answer: 2*j**3 - 3039*j + 1946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93461 is divided by 221.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*f**4 + 59*f**3 + 60*f**3 + 49*f - 1 - 2*f**2 + 11*f**4 - 121*f**3 + 7 to the form i*f**4 + o + s*f**2 + c*f + p*f**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -1653?\nAnswer: -1653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225664433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/(2*sqrt(128) + sqrt(128)))\/((sqrt(600)*2 + sqrt(600))*1).\nAnswer: sqrt(7)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*a - 16. Let k = 812\/3 - 266. Which is bigger: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1197 divide 8114211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 4*k - 6 + (2*k - 9*k - k)*(-2 + 4 + 0)*(0 + 2 - 1) to the form z*k + v and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2930 + -2507. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 292 and 88866\/305 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = 2. Let g(d) = d - 1. Let w be g(-1). Let h be 2\/(w*4\/(-20)). Solve -r*q + 10 = -h*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 34 - 46 = 0. Let q = 2 - -1. Let i be q*1 - (11 + k). Solve -3*g + 5*x = -23, 2*x + 0*x + 8 = i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3939 = r - 4*r + 3927 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3))**22\/((i\/i**(-4\/5))\/i)**25)**(-12) assuming i is positive.\nAnswer: i**1032","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012788397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/((-1)\/4). Let v be (u + -1)*(5 + -3). Let l(i) = -i**2 + 3*i - 1. What is l(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -5*l**4\/12 + 7*l**3\/6 + 4*l**2 - 1298*l. Let p = -4 + -9. Let s(o) = 11*o**2 - 15*o - 17. Determine p*m(n) - 6*s(n).\nAnswer: -n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2*(-96)\/(-12))\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1627*h + 293315 - 293667 + 454*h wrt h?\nAnswer: -1173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3085362.4 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725*g + 729*g + 4*p = 52, 23 = 3*g - 5*p for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(405) + -1)**2.\nAnswer: -18*sqrt(5) + 402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 0*b**4 - 146*b - 7\/3*b**3 + 0 - 1\/20*b**5 + 35*b**2. Find the first derivative of q(y) wrt y.\nAnswer: -3*y**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (75\/(-4))\/(-5) + 6\/24. Suppose -6*i + 2 - 3*i**a + 14*i**2 - 14*i**2 + 1 + 6*i**3 = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 35 = -26*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/12)\/((-1050)\/(-280))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2)**(-4\/11)\/(m\/m**(-1\/2)*m**0))**46 assuming m is positive.\nAnswer: m**(-1127\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -37*v - 31. Let w be q(-1). Let p be (11 + 854\/(-42))*w\/(-7). Let i(m) = -11*m**2 + 5*m - 5. Let t(a) = -17*a**2 + 8*a - 8. What is p*i(c) - 5*t(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/6)\/((-4)\/(-24)). Let b(d) = -d**2 - 4*d - 5. Let p(s) = s**2 + 3*s + 4. Let f(n) = 5*b(n) + 6*p(n). Let q be f(3). Is q >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 119 = 4*c + 21, c + 5*q - 13 = 0. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 725 - 437. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 255*z**3 - 260*z**2 + 5*z = 0.\nAnswer: 0, 1\/51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -47*k - 1. What is the tens digit of l(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -616309 divided by -166?\nAnswer: 616309\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229 divided by 1.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17498, -35090, -52670, -70232, -87770, -105278, -122750?\n\"Answer: p**3 - 17599*p + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**3\/5 - 18*n**2\/5 - 22*n\/5 + 42\/5 = 0.\nAnswer: -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2537705055 + -0.4\nAnswer: 2537705054.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 g, and 1 f when three letters picked without replacement from {z: 7, g: 1, t: 1, f: 3, o: 1}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 856*v - 2232*v + 1377*v. Let q(j) = -2*j**3 - 3*j**3 - 10*j + 4*j. Give 6*d(m) + q(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*m = -95*m - 282*m + 55*m + 11066 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40199 or 39824?\nAnswer: 39824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-12)*b**(-3\/4)\/b assuming b is positive.\nAnswer: b**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1113330 (base 4) to base 2\nAnswer: 1010111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14658 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416 + 416 + 2807827*c - 2807821*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1137 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -410*r - 77. Is s(-37) a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**5\/20 - p**4\/4 - p**3\/6 + p**2 - 3*p - 8. Calculate n(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -76398282 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6abd8 + 1?\nAnswer: -6abd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1596*m + 1609*m - 4 - 3196*m.\nAnswer: 9*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 41, -12 in decreasing order.\nAnswer: 41, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h = 17*h + 3*t + 9, -7*h = -4*t - 12. Suppose -3*u + 19 = 5*j, -3*j + 3*u + 9 = 4*u. What is the second smallest value in 0.1, h, 4, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*p**3*r + 3*p**3 - 21*p**2*r - 7*p**2 + p*r + 7*p - 22*r + 77 wrt p?\nAnswer: -168*p*r + 18*p - 42*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + 5423 = -17*g. Let x = g + 191. Solve -j + 2*l = -5, -3*j + x*j - 3*l = 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*c + 165. Let s = -41 + c. Is (10\/4)\/(s\/16) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*l = 28, -2*y + 4 = -y + l. Suppose w = y*w. Is 2\/5 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.3 + 2. Let p = -0.7 + i. Let r = -2149\/9 + 239. Which is the second smallest value? (a) p (b) r (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 19. Solve t = 3*w - 0*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*s - 15 = -1, 0 = 3*z - 3*s - 30. Let n be (-2)\/((7\/z)\/(-7)). Suppose 84 = 2*p + n. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(475) + (sqrt(475)*-1 + sqrt(475) + 4 - sqrt(475)) - (-2 + -1 + sqrt(475))))*2)**2.\nAnswer: -440*sqrt(19) + 2384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7569378?\nAnswer: 2, 3, 420521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81 - 7*t**4 - 79 + 0*t**4 + (-2*t + t + 0*t)*(-30*t + 30*t - 3*t**3).\nAnswer: -4*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*i - 65*i = -1052. What are the prime factors of i?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 914885, 914884, 914883?\nAnswer: 914882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.923498 to two decimal places.\nAnswer: 22.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 13*d**2 - 3*d - 1. Let w be a(3). Suppose 4*r = 7 - w. Let s = -17 - r. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*a + 3*a + 12*a to the form p*a + x and give p.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3541 >= -3479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*3\/3)\/((-66)\/(-12)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7448551.\nAnswer: 11, 19, 157, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -23*f**3 + f**2 + f + 4. Let o(p) = 6*p**3 - 1. Let b(x) = 4*o(x) + z(x). Let j(y) = 4*y**3 - 2*y**2 - 3*y. Determine -3*b(u) - j(u).\nAnswer: -7*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38.1 + 37.913. Let w = v - -0.106. Let m = w - -0.1028. What is m rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2962 and 1953439.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 12. Let z(j) = j**3 - 16*j**2 - 16*j - 9. Calculate the smallest common multiple of z(a) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = r + 2, -2*r - 9*d + 13*d - 16 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18104792, -18104804, -18104826, -18104864, -18104924, -18105012?\n\"Answer: -h**3 + h**2 - 8*h - 18104784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*k + 65*k - 137*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -212*j - 1425. Calculate c(-6).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6145303\/158 + -38894. Calculate the common denominator of 543\/80 - 3\/5 and y.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1\/3*-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**3 + 3*a**2 + 4*a. Let m(y) = -12*y**3 + 5*y**2 + 7*y. Let b(x) = -3*m(x) + 5*r(x). Determine b(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 610 - -609. What are the prime factors of u?\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at most as big as -97\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5 + 10*a**4 - 253*a**3 + 242*a**2 = 0. Calculate a.\nAnswer: -22, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*w = 235, w - 1219 = -3*o - 2*o. Let k be o\/2 - 5\/10. Suppose 4*v - 6*v = 4, -z + 4*v = -k. What are the prime factors of z?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1801259 * -0.014.\nAnswer: 25217.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44861837 - -44861568.0000255. Let a = r - -269. What is a rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2.5. Let x = 594 + -156. Let q = 445 - x. Which is the third smallest value? (a) q (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -962459723, -1924919444, -2887379165?\nAnswer: -3849838886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 11 = -24. Solve 5*w - 5*l + 5 = 0, q*w - 9 - 21 = -2*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = w + 2*o - 0, 5*o - 2 = 4*w. What is the common denominator of 1 - 1 - 183\/12 and w\/12*-2 + (-245)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1511.6 * 204.2\nAnswer: 308668.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 5, l: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 - 26*o - 56. Give f(7).\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -720\/17 - -323983\/7650. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-1 - 0)*(-68 + 405\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 12) to base 15\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 32*d + 75 = 0. What is the highest common factor of 129 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 17814*q. Let k(d) = -3*d. Give k(a(r)).\nAnswer: -9*r**2 - 53442*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -711, -691, -657, -603, -523, -411, -261?\n\"Answer: w**3 + w**2 + 10*w - 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, h: 4, y: 1, f: 2, q: 2}. What is prob of picking 1 k and 1 q?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3004950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159039?\nAnswer: 3, 41, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 8*c**2 - 4*c + 5. Let r be a(9). Suppose 2*v = -0 + r. Let d = v - 16. Calculate the greatest common factor of 99 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 - 2*i**3 + 912*i**2 + 1372*i**2.\nAnswer: -2*i**3 + 2284*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = f + 4956. List the prime factors of f.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -11221300?\nAnswer: 11221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 259 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -2.884\nAnswer: -8.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 368172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5130*m*n*u + 153174*m*u + 36*m + 28*n*u wrt n?\nAnswer: 5130*m*u + 28*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -183610 and 14?\nAnswer: -2570540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddddddpddddddd. Give prob of sequence dd.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-89)\/(-87) + -1)*-411*(-2840)\/77816.\nAnswer: 10\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 7. Let y be p(5). Let l = -1 + y. Suppose -4*v + 15 = 3. Solve 2*b = -0*b - v*q + 16, -l*q + 16 = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 85332 and 84895 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**4\/36 - r**3\/2 + 15*r**2 - 361*r + 3. Factor y(m).\nAnswer: -(m - 6)*(m + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.18 (b) 1\/3 (c) 0.14 (d) 0.1 (e) -3 (f) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, v: 7, u: 3, z: 4, h: 1}. What is prob of picking 1 h and 2 u?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62441152, 62441151, 62441150, 62441149, 62441148, 62441147?\n\"Answer: -a + 62441153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + 5*sqrt(75)*-4 + sqrt(75) + 1 + 1)*2.\nAnswer: -190*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.8879 + 4.03. Let r = -0.148 + f. Round r to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9\/8)\/j**(-24\/11)*((j\/j**33)\/j)**(1\/9))**(-1\/10) assuming j is positive.\nAnswer: j**(689\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04421 - 0.05579. What is the third smallest value in 0.11, -3, r, 4\/7, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 9 = v, 62*u - 66*u + 8 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 9, 2, -2.9, 12, 0.4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 288*p**2 - 107*p + 868. List the prime factors of s(9).\nAnswer: 7, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -615.9843 - -616. Let k = 0.0123 + h. Let d = -1.1 - -1. Is k <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -2, -879, -4, 5 in decreasing order.\nAnswer: 5, 3, -2, -3, -4, -879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124 - -123.6. Put 1\/10, o, 5, -4 in ascending order.\nAnswer: -4, o, 1\/10, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -327 - -333. Let c(s) = 12*s - 66. Let r be c(q). Solve -9 = r*a - 9*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 16*v + 14.\nAnswer: 2*(v + 1)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-63)\/(-6))*-6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5200 divided by 89368.\nAnswer: 650\/11171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -16*h**3 + 5*h**2 - 507. Let s(n) = 7*n**3 - 2*n**2 + 254. Determine 3*d(f) + 7*s(f).\nAnswer: f**3 + f**2 + 257","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((54\/(-42))\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 549\/20 or -0.4?\nAnswer: 549\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3411898.\nAnswer: 2, 7, 243707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 22 = -3*w, -2 = 123*w - 128*w + 3*r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2 + 5 - 2)*(22 - 3*j - 22).\nAnswer: 6*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -2\/5 (b) 5 (c) -4\/215095\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -11221131311?\nAnswer: -11221131312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 12*n**2 - 2*n - 12. Let g be i(-12). Let d be (g\/(-15) - 0)*(-455)\/(-7). Does 2 divide d\/2*((-3)\/(-6) + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1357 (c) 1 (d) -1 (e) 1\/4 (f) -3.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - z. Let c(o) = -3*o**2 + 2*o - 1. Determine -c(n) - 4*u(n).\nAnswer: -n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33992384 by -16996192.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4630481 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 152*t + 15914. Give w(-223).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(960) + (sqrt(60) + sqrt(1500))*4)\/(-3*sqrt(12)*-1*5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 0) + 2 + 9 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*b**2*u**3 - 97*b*u**3 - 2272*u**3 wrt b?\nAnswer: 12*b*u**3 - 97*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4886 - 29423\/6. Suppose -3*x = -2*x - 2*c - 32, 5*x - 5*c = 135. What is the common denominator of p and ((-2)\/(-4))\/(x\/58)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -23) + (3 - 1) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*k - 314*k - 227*o - 311 = 0, 4*o + 4 = 0 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -4 (b) 0.031 (c) -2.9 (d) -1\/8 (e) -27\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**4\/4 - 20*z**3\/3 - 37*z**2 - 45. What is the second derivative of f(n) wrt n?\nAnswer: -6*n - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32939*g - 65535*g + 32819*g.\nAnswer: 223*g","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1030 + -241?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p*p**(-3\/7))\/(p**(-2))**(4\/3)*(p**(2\/11)*p*p**(2\/25))**(-17) assuming p is positive.\nAnswer: p**(-105179\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 907*k**3 - 659*k**3 - 654*k**3 - 334*k**3.\nAnswer: -740*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1208073?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -15 - 11 - (47 + -61 - (0 + 1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, 0, 5 in decreasing order.\nAnswer: 9, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165455659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-69)\/(1863\/540))\/(0 - -1)*-520960. Round k to the nearest one hundred thousand.\nAnswer: 10400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/3, -11\/2, -5, -8, 12\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnknknknn. Give prob of picking 2 k.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1676*b**3 - 6*b**2 + 1645*b + 12. Let q(m) = 2*m**3 + m**2 - 2. Let k(z) = i(z) + 6*q(z). What is the second derivative of k(g) wrt g?\nAnswer: 10128*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z - 69 = 46 + 17 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {h: 1, c: 1, b: 1, z: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -194*x + 142*x - 104 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 215, 1, -3, 20 in increasing order.\nAnswer: -3, 1, 2, 20, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-7))\/((-1)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1267681691 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 830327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1565 - 1555. What is the remainder when 1208 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -106 + 11. Suppose 0 = -3*x + 4*w - f, x + x = 4*w - 14. Let y(z) = -5*z**2 - 3*z. Let k(l) = 4*l**2 + 2*l. What is x*y(m) - 6*k(m)?\nAnswer: m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -46. Suppose -o = -h - 6. What are the prime factors of o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107959 and 102084?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 7*f - 10*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {d: 1, f: 19}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684)*2 + ((-2*sqrt(152) - sqrt(152))\/sqrt(8))**2.\nAnswer: 12*sqrt(19) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -11. Let s be 4\/y + (-81)\/15. Let w(v) = v**2 + 8*v + 25. What is the remainder when 29 is divided by w(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 3*l**3 + 3*l + l**2 - 2*l + 2*l**3 + 4. Suppose 4*u + 26 = -5*h, -2*u + 5*u + 21 = -4*h. Let x = h + 9. Calculate y(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531787.3kg in nanograms?\nAnswer: 531787300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(3\/2)*-3. Let w(q) = 27*q + 657. What is the remainder when n - -1 - -25*1 is divided by w(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**16\/x*x*x)*x**(-11)\/x*(x\/((x\/x**(-11))\/x)*x)**(-1\/5) assuming x is positive.\nAnswer: x**(-131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igyiwg. Give prob of sequence ig.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11877*s**5*x - 3*s**4*x + 3*s*x - 4*s - 5438*x wrt s?\nAnswer: -237540*s**3*x - 36*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3045144?\nAnswer: 2, 3, 181, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from oqoqoooo.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/n**(-4\/3)))*n)\/n)**(-7)\/(n*n*n**(7\/5)*n*n)**41 assuming n is positive.\nAnswer: n**(-3566\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.09 (c) 16 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 9072, -1 in decreasing order.\nAnswer: 9072, -1, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + (2*sqrt(432) + -1 - (-5 + (sqrt(432)*-5 + sqrt(432) - sqrt(432))))*4))**2.\nAnswer: 411264*sqrt(3) + 12203172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 845 and 30.\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0426 take away 0.22203?\nAnswer: -0.26463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -295*n**5*p**2 - 14*n**3 + 15817*n**2*p**2 wrt n.\nAnswer: -17700*n**2*p**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/90)\/(1*3\/(-15))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by ((-782)\/161)\/(6\/(-21))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -178 + 2532 - (-14)\/(-1) is divided by 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 4:15 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, c: 4}. What is prob of picking 3 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = 41 - 5. Which is the smallest value? (a) t (b) -5 (c) -82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22013 + 17931 = 2*n. Let v = n - -1565. Let f = 12877 - v. What is f rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-6*2*-4*-1*-6*sqrt(1216)*2 + 4))**2.\nAnswer: 331776*sqrt(19) + 3630956688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**2 + 2*f + 7. Let o be h(-2). Calculate the highest common divisor of 2 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1300, -2684, -4148, -5698, -7340, -9080?\nAnswer: -10924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2 (b) -1\/6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c + 5938ba?\nAnswer: 59389b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - 3*n**2 + n**2)*(-2 + 0 + 1) + n - n + n**2 - n + 6 + 14*n**2 - 21*n**2 + 6*n**2.\nAnswer: 2*n**2 - n + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17418259?\nAnswer: 307, 56737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -59, -139, -249, -395, -583, -819, -1109, -1459?\n\"Answer: -j**3 - 9*j**2 - 46*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 305477\/9 - 33991. Which is bigger: -2\/9 or y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -12. What is the second derivative of -4*t + 4*t + p*t**4 - 2*t - 3*t**4 wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 9369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11431 (base 5) to base 9.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxmmjmxgsxjmmmmmmjqx. Give prob of picking 1 x and 1 q.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -162 - -162.36. Let p = 0.36 - c. What is the second smallest value in 1, p, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2940 is divided by 37.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6) + (-100)\/(-30). What is the tens digit of 29*c\/(-6)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -16*u + 11*u. Let w be -1*4*u\/(-16). What is the highest common divisor of 42 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*j + 45580 = 69*j. What is the thousands digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + 18 - -9) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23223?\nAnswer: 3, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*t**2 - 1 + 59*t**3 - 57*t**3 + 8*t**4 in the form u*t**2 + x*t**4 + j*t + r + m*t**3 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -337*t + 125*t + 159*t + 90*t + 275 to x*t + q and give q.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4879579 is divided by 17365?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 404, 806, 1234, 1700, 2216, 2794?\nAnswer: 3446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -418 or -343?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from uuuuuussuuu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -510 (base 6) in base 14?\nAnswer: -d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15891042 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from {o: 4, j: 4, b: 1, q: 2}.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10617, -21463, -32309, -43155?\nAnswer: -54001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 63925, 4, -345.\nAnswer: -345, -3, 4, 63925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 2*c + z, -101*c + 97*c - 75 = -5*z for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o + 20. Let h be s(10). Let p(v) = -v - 2. Determine p(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:22 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/354439 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06039 and -144?\nAnswer: -8.69616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*h - 3*h + 4*s, 4*s = -12. Suppose -1099 = -h*y + 497. Suppose c + c = y. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:03 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.89, -3\/2, 10\/57?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0238 and -6.\nAnswer: 0.1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 14, 38, 86, 164, 278, 434?\n\"Answer: j**3 + 3*j**2 - 10*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, 26, 58, 106, 176?\n\"Answer: n**3 - n**2 + 18*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 3)*(-4*f**5 - 3*f**5 + 3*f**5) + (-5*f**4 + 3*f**4 + 0*f**4)*(3 - 3 - f) + 4*f**5 + 0*f**5 + f**5.\nAnswer: -17*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -22?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19845, 28986, 38127?\n\"Answer: 9141*j + 10704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**6\/1620 + z**5\/108 - z**4\/18 - 13*z**3\/6 + 21*z. Let k(g) be the second derivative of d(g). Solve k(c) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1754*p - 471*p - 1930*p - 30254 - 2986 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 33 + 24 + -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-3) + (-10)\/(-30). Solve 4*t = -n*i - 5 - 0, -12 = 3*t + i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 2.79\nAnswer: -0.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 7, -1, 0.4644, 1, -4 in descending order.\nAnswer: 7, 1, 0.4644, 0.4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 9*n = -12, -7*o + 10 = -12*o - 3*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.068001 rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.938797 micrograms?\nAnswer: 4938.797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5531725492?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 179 * 20.\nAnswer: 3580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71190?\nAnswer: 2, 3, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/((-19)\/(-380)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(3))\/(sqrt(6)\/sqrt(3)*6))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.072495 centimeters in micrometers?\nAnswer: 40724.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 - 2*c**2 + 5*c**2)*(-40784 + 40784 - 227*c) - c**3 + 4*c - 2 - 4*c to d*c**2 + l*c + o*c**3 + k and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*i = 640 - 4074 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - l + 3*l + 16 = 0, 0 = -2*g - 4*l - 8. Let r be 8\/12*(-10)\/g*3. Suppose -4*s + 302 = -0*s + 3*d, 241 = 3*s - r*d. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 1\/1080*j**6 - 2\/3*j**3 + 5\/72*j**4 + 1\/60*j**5 + 34 + 0*j**2 + 0*j. Let l(g) be the third derivative of x(g). Factor l(d).\nAnswer: (d + 1)*(d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111110101111100 (base 2) to base 16\nAnswer: fd7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(1800) + 4 + 0 + sqrt(1800) - sqrt(1800)) - sqrt(1800)*-2*3*2)**2 + -4)*-5.\nAnswer: -1521225 - 27300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5895289*u**6 - 3*u**2 - 5*u + 458.\nAnswer: 707434680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/4142 and 13\/10.\nAnswer: 20710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 297953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1109287 centuries to years.\nAnswer: 11.09287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 16)\/(-1) + 0. Let g = 34 + r. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/630 and 53\/6854085.\nAnswer: 13708170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6.1. Let q(k) = -k**2 - 25*k - 151. Let s be q(-14). Let i be 3\/(-10) - 6\/12. Which is the nearest to m? (a) i (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 3*i + i)*(-191 - 225 - 3*i**2 + 446).\nAnswer: 6*i**3 - 60*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 184372.\nAnswer: 921860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 18*p. Let f be y(8). Let m = -44 + f. Let q = m - 58. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 3*p + 6300000. Let x be s(0). What is x rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.73774 nanograms?\nAnswer: 0.00673774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 0 + 5 - 2\/1. Suppose 2*p = -y*o + 15, -4*p - 3*o = -0*p - 21. Solve p*n = 7*n + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t - 5. Let o(r) = -r + 1. Calculate 2*m(b) + 6*o(b).\nAnswer: -2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37690154.\nAnswer: 2, 3041, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72581.\nAnswer: 181, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 14 = 2*u, u = 3*u + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2 - 5)) + (1 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**5\/30 + 2*c**2. Suppose 10 = a - 6*a. Let g(z) = 2*z**2. Let l(t) = a*g(t) + 3*u(t). Let p(n) = 6*n**2. Give p(l(k)).\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*f + 0 + 2\/11*f**3 - 2\/11*f**4 + 4\/11*f**2 = 0. What is f?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*30.\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a year?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 501\/2338*(-7)\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + t + 6. Suppose 3*g = 5*l + 74, -4*g = l - 0*l - 68. Let q = -13 + g. Is 17 a factor of s(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43628 + 451?\nAnswer: -43167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3801*w + 3630*w - 1048 = 7300*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -163 in 2, -0.0858, 0.1, 0.007?\nAnswer: -0.0858","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1995461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 178449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*d - 17, 0 = 2*l + 4*d - 6*d - 10. Let o(c) = -1 - 6 - 2*c - l. Let m be o(-4). Solve 2*v = 3*a - m*v + 5, 2*v - 11 = 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 95 = -102 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(16))**2 + sqrt(2) + (-4 + sqrt(18))**2 - -1*(-2*sqrt(96))\/sqrt(12).\nAnswer: -27*sqrt(2) + 69\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201110110212 + 12?\nAnswer: -201110110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 329 + 357 = 50*t, 0 = t - 8*w + 6*w - 19 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1.324, -4, 340.5 in descending order.\nAnswer: 340.5, 1.324, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 1, -2*i - 2*i = 3*r - 229. List the prime factors of i.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q - 6*q - 13*q - 18*q.\nAnswer: -32*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 8. Let u be 2 + (-21)\/15 - 264\/(-60). Put u, 4, c in ascending order.\nAnswer: c, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -17 - 0) + (0 - 2) + 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - sqrt(143)*-1*6) + sqrt(143) - -5*(sqrt(143)*3 + sqrt(143) - sqrt(143) - sqrt(143)))\/((-5*sqrt(77)*1)\/(-6*sqrt(28)\/sqrt(4))).\nAnswer: 108*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -572 - -1024. Let z = -243 + i. What is the second derivative of -209 + z + 25*r + 8*r + 21*r**4 wrt r?\nAnswer: 252*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 523983925, 523983927, 523983929, 523983931?\nAnswer: 523983933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 12:13 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -13*n**3 - 32*n**2 + 31*n. Give z(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v + 4. Let k(f) = -12*f + 7. Let s(c) = -5*i(c) + 3*k(c). Let g(j) = 5*j - 1. Determine -4*g(h) - 3*s(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7020?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4792*j**2 - 5 + 5 + 6073*j**2 - 3*j.\nAnswer: 10865*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (43\/(-9) - -5)\/((-82)\/(-9) - 9). Solve 4*a - 1 = 4*z + 7, -6 = -p*z - 3*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4 + -1.426. Let p = 3.974 - l. Which is the closest to 4\/3? (a) -1\/8 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2693 divide 352151733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 minutes after 6:32 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1928274 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-1)\/(-4)*96\/80?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.229312 to one dp.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3 (b) 132\/7 (c) 0 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7886?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 267.47207 to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 58) + (55 - (64 - 44) - 32).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 9:29 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -534076 greater than or equal to -534086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -469, -601, -731, -859, -985?\n\"Answer: u**2 - 135*u - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + (-1 - (1 + (-7 - -13 - -1)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -140, -96, -14, 118, 312?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 645 and 2303080?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4411 + 4374.86. Let y = a - -35. Round y to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1048961 by -11.\nAnswer: -1048961\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*o + 5 + 13, -4*r + 4*o + 24 = 0. Suppose -1 = 2*z - r. Suppose -3*u - 4 = -u. Sort 1, u, z in decreasing order.\nAnswer: z, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760567 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 4, w: 6, d: 3}. Give prob of picking 1 c and 1 w.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 323?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40038, 80256, 120474?\n\"Answer: 40218*i - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5462660 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v**3 - 5*v**2 + 13*v - 10. Let t be s(5). Which is smaller: 928 or t?\nAnswer: 928","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*m + c - 18, 0 = 5*m - 2*c - 62. What is the greatest common divisor of 126 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145203031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 5*z. Let x be d(4). Let r be (30\/(-7) - (-582)\/2037)\/(-8). Put 3, x, r, -0.01 in ascending order.\nAnswer: x, -0.01, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266700.\nAnswer: 2, 3, 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 12:54 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 6*c - 3. Let x(n) = n**2 + n + 3. Let l be x(-4). Suppose 5*o - l + 0 = 0. Calculate the remainder when f(-7) is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p**2 + 3*p + 13. Let a(m) = 36*m**2 - 16*m - 64. Let l be (4\/3)\/(8\/18). Let j(y) = l*a(y) + 16*s(y). Determine k so that j(k) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -3*l**5\/20 - 67*l**4\/2 - 4745*l**3\/2 - 25350*l**2 - l + 813. Factor d(w).\nAnswer: -3*(w + 4)*(w + 65)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -7*g**4\/6 - 19*g. Let s(i) = -2*i**2. What is w(s(d))?\nAnswer: -56*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 7. Let u = 0.12 - -4.88. Let m = -35.295 - -29.295. Which is the nearest to m? (a) z (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 2:38 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22037.77146 - 12\nAnswer: -22049.77146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkk when three letters picked without replacement from {w: 4, m: 1, l: 1, b: 3, k: 2, n: 7}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3787427461 to the nearest integer?\nAnswer: 1559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10571591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 4*u**2 - 8*u + 1. Let d be s(5). Is 538 + (-20)\/70 + (-46)\/d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36*(-63)\/(-504))\/(-126)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 7*s**5\/5 - 2*s**2 - 14. Find the second derivative of a(f) wrt f.\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 g when three letters picked without replacement from {g: 8, b: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*((-88)\/24)\/11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-15)\/20*(-2)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1520 = -4*g + 7*p - 3*p, 0 = -2*p - 2. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + (sqrt(425) + -1 + 2 + 4*sqrt(425)*6)**2*-4).\nAnswer: -3187518 - 3000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 11*r**2 + 8*r - 12. Let o be d(4). Let s = o - 97. Suppose 3*c - s = -6*c. What is the remainder when 52 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22159657631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7*((-24)\/14)\/2. Let s be 4\/v - 120\/(-45). Solve -s*n = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 6:59 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 10:03 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -153502 divided by 71?\nAnswer: -2162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.37 + -18.37. Let o be ((-1)\/(-6))\/(4\/9). Let z be (0 - (-3)\/12)\/1. Which is the closest to m? (a) 4 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 5399183?\nAnswer: 4\/5399183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -13. What is the units digit of i\/(-4)*6\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2252107657\/180 + 12511741. Let t = d + -127\/4. Sort t, -0.4, 3.\nAnswer: -0.4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 733.1336cm to meters.\nAnswer: 7.331336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30416 and 1277472?\nAnswer: 1277472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + (6*(sqrt(77) - (sqrt(77) - 2*sqrt(77) - sqrt(77))) - -1*sqrt(77)*-6)\/(2*-1*sqrt(343) + sqrt(343))))**2*1.\nAnswer: -72*sqrt(11)\/7 + 2025\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382 - 69 = 13*n + 28*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 0 + 0*s**2 - 7\/6*s**3 - 3*s. What is the tens digit of x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 196 - 136*r + 267*r - 75*r.\nAnswer: 4*(r + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 y when three letters picked without replacement from {f: 5, t: 2, y: 9}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**2 + 123*f - 126 = 0.\nAnswer: -42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887124.\nAnswer: 2, 3, 7, 59, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -872801484092?\nAnswer: 872801484073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -814 - -1336. List the prime factors of t.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -630789, -2523140, -5677035, -10092456, -15769385?\nAnswer: -22707804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17276166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -7*h**3 + 9*h**2 - 61*h - 124. Let g(l) = -3*l**3 + 4*l**2 - 30*l - 62. Let t(x) = 9*g(x) - 4*w(x). What is the derivative of t(n) wrt n?\nAnswer: 3*n**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -87*a - 4. Let i(p) = 87*p + 6. Determine 6*i(q) + 7*n(q).\nAnswer: -87*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - 17. Let o = 24 + y. Find h, given that 123*h**2 - 61*h**o + 5*h**4 - 67*h**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35.19 and -1157?\nAnswer: -40714.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 5)*(s**5 - 34*s**5 - 25*s**5).\nAnswer: -58*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**5 + 4*v - 5*v - v**3 - 3*v**5)*(4 - 5 + 4).\nAnswer: -3*v**5 - 3*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by -1267?\nAnswer: -9\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7857.704 nanograms to kilograms.\nAnswer: 0.000000007857704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -1 + (-6960)\/(-64). Let r = x - 112. Which is the biggest value? (a) 0.2 (b) 1\/3 (c) 5 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 30.02.\nAnswer: 90.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1269 = -54*g - 405 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -2*d - 155. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -16) + -2 + (126\/28 - -5) - 9?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11421072 is divided by 3169.\nAnswer: 3165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -8, -147*j + 151*j = -b + 24 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 715858494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 621 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 639*l**3 + 205*l**3 - 166*l**3 + 425*l**2 wrt l.\nAnswer: 4068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o. Let h(j) = -6*j. Suppose -5*t - 7 = -82. Suppose 5*x = -n - 12, 4*x - n = -0*n - t. Let q be x\/6*4\/(-2). Determine q*h(c) - 4*d(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*n**6 + 401*n**2?\nAnswer: 3000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -222 - -370. Let j = 487 - f. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*w + 3*w + 12*w - 1. Which is the closest to w? (a) -2\/5 (b) -1 (c) -0.5137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**4\/24 + k**3\/3 + 3*k**2. Let j be u(-2). Which is greater: j or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(-3 + 3 - h)*(4 + 1 + 4 + (2 + 3 - 2)*(-1 - 2 + 4)) + (-2*h + 2*h - h)*(-2 + 2 - 2) - 2*h - h + 0*h in the form i*h + w and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*m = 194*m + 130. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1857 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -164, 994, 4136, 10258, 20356?\n\"Answer: 166*m**3 - 4*m**2 + 8*m - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17473836 * 4.\nAnswer: -0.69895344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*2*(-165)\/(-594)*32397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6641\/1268 + -4\/317. Suppose -3*n + 60 = -7*n - 4*t, -n + t = 9. Let g = 35 + n. What is the common denominator of g and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/204 and 163\/16420668.\nAnswer: 279151356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-140)\/(-15) + (2\/(-3))\/2. Calculate the greatest common divisor of 72 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1224 + -1220. Let w = -7 - -21. Let o = w + -10. Solve -o - h = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 59.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b - 28. Suppose 4*t + 2*j = j + 78, 0 = 3*j - 6. What is the remainder when t is divided by f(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16009415\/32 + -500297. Find the common denominator of t and ((-103)\/2)\/(8*12).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c - 4*c**2)*(-3252*c**2 - 5216*c**2 + 3634*c**2 - 3459*c**2).\nAnswer: 33172*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6474 to 2 dps.\nAnswer: 2.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3378 and 44.\nAnswer: 74316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-122)\/(-8) - (-1)\/(-4). Suppose 0 = b - 11*c + 8*c + 12, 0 = -b - c + 8. Suppose -b*q = -l + 7, 30*l - 28*l = q + 24. Does l = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 359\/(-117) - (-14)\/63 - -3. Sort 2, -1, v, -4 in ascending order.\nAnswer: -4, -1, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (5 - 1 - 7) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661144416.\nAnswer: 2, 3, 17, 37, 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x + 100 = 4*y, y = 4*x + 43. Solve 3*j + k = 7*j + y, 0 = -2*j + k - 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0)*(-8)\/(-4). Suppose -21*d + 0*d**n + 4*d**2 - 5*d + 12*d**2 - 2*d**3 + 12 = 0. Calculate d.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/3, 4, -1, 3060\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-18) - 3 - 4\/(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asssaa. Give prob of picking 2 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4860 >= -92312\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 96*v - 3172. Determine d(-111).\nAnswer: -1507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 5*w**3\/6 + 3*w. Let u(j) = 15*j + 0*j + 2*j. Let i(m) = 8*m. Let o(y) = 13*i(y) - 6*u(y). Give o(k(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*g - 5*g + 35, g + 4*z = 22. Let a(l) = 2*l**2 + 11*l. Let q be a(-10). Calculate the greatest common divisor of q and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 12*m + 3. Let a = -37 - -48. Let b be g(a). Is -9 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-13\/3))\/q)\/q**9)\/(q*q*q\/(q\/(q\/(q\/q**(1\/3)))))**(10\/7) assuming q is positive.\nAnswer: q**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 153.3? (a) -1\/4 (b) -2\/3 (c) -2\/5 (d) -1471\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10296550 and 8424450.\nAnswer: 92668950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-12) - 6\/8. Suppose -14*t = -29 + 1. Find d, given that 20*d + 32*d**r - 50*d**t + 33*d**2 - 20 = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.000104039 to six decimal places.\nAnswer: -0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -87, -174, -261?\n\"Answer: -87*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3646997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 86*d**2 + 869*d + 93. Calculate p(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23033321011 (base 4) in base 3?\nAnswer: 12112210211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9306571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 34*t**2 - 72*t + 22. Is 11 a factor of y(36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/(-6) + (-678700)\/300)*272\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -130459*c + 130464*c - 3*l + 17, -15 = 3*c - 3*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecez when four letters picked without replacement from {c: 3, z: 3, e: 2}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 81452.02g?\nAnswer: 81452020000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(192) + (sqrt(192) - (sqrt(192) - -1*sqrt(192))) + 5 - 4*-2*sqrt(27)*-1)**2.\nAnswer: -144*sqrt(3) + 1737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(24)\/sqrt(6)) - sqrt(63)\/(sqrt(9)*-5)) + -5 + (4 + sqrt(7) + 4)**2*-4.\nAnswer: -289 - 314*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -535 at most as big as 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -30*c - 5. Let v be l(-1). Suppose -v = 20*i - 205. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*x - 5*j - 6520 = 0, 4*j - 3260 = x. Let m = -2250 - x. Suppose 9*t + 173 = m. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62521816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -192 + 192 + 11*x**2 + (-3 + 5 - 9)*(-3*x**2 - x**2 + 2*x**2).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1596 divided by 5\nAnswer: 1596\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -15*v + 17. Let c be u(7). Let x = 403\/132 - 157\/22. Calculate the common denominator of x and (-687)\/c - (-2)\/(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2551\/15 - 80\/1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(5) + sqrt(5) + sqrt(320) + 3.\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - s. Let d(n) = n**2 + 7. Give d(t) + k(t).\nAnswer: 2*t**2 - t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1298243861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 213 and 33.\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -1 + 1 - 4) + 5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -105482.5911 take away 0.5?\nAnswer: -105483.0911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z - 2*l + 668 = -33*z, 0 = -2*z + 2*l + 334. Suppose -11*h = -65 - 199. What is the remainder when z is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**5\/30 - 7*z**4\/24 + 2*z**3\/3 - 5*z**2 + 2*z. Suppose 0*g + 2*g - 16 = 0. Let a be (g\/(-3))\/((-12)\/18). Give x(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 5*d**2 - 6*d + 3. Let c be g(-6). Suppose 0 = -f + 3*t + 15, -c*f + 6*f = -5*t + 87. Calculate the least common multiple of f and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 5*l**2 + l)*(-25*l + 38*l + 22*l + 48*l) to c*l**3 + y*l + a*l**2 + q and give c.\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/10)\/((-8)\/(-20)). Suppose s*b + 21 = 95. Calculate the remainder when b is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 - 13. What is the smallest common multiple of 18 and f?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 16*l - 4. What is the remainder when w(4) is divided by 9\/(-7)*(-168)\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s**3 + 2*s**2 + 3. What is the hundreds digit of g(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419323067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, y: 14, b: 1}. What is prob of sequence wyb?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**5*j))\/((j*j**(1\/11))\/j))\/(j\/(j\/(j**5\/j*j))*j*j\/j**(-5)) assuming j is positive.\nAnswer: j**(-188\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13*16\/2184)\/(3\/(-27)))\/(66\/(-70)).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 308\/(-6)*(-1298)\/4543.\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 0*c**5 - 11\/30*c**6 - 10*c + 0*c**3 + 0 + 0*c**4 + 6*c**2. Differentiate m(a) wrt a.\nAnswer: -44*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-1)\/(6\/(-10)). Let b = -0.3 + -0.2. Let p = 0 + b. What is the second biggest value in -2, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 61 = -4*y. What is the remainder when y is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 7, q: 1, e: 2, b: 8}. What is prob of sequence eb?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - 2*t**2 - 10*t - 15. Does 4 divide m(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2)*i)**(-4\/11)*(i\/i**0)**(-5\/4))**(-9) assuming i is positive.\nAnswer: i**(711\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) - (-11)\/2. Let c(g) = -7*g + 302. Let s = 659 - 617. Let d be c(s). Solve -t*i = -i - d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220330201 (base 4) in base 8?\nAnswer: -1507441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 82.96 (b) 1 (c) 0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 677*i**4\/12 - 289*i**3\/2 + 3*i - 996. What is the second derivative of d(z) wrt z?\nAnswer: 1354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 28 (b) 5 (c) -0.071 (d) 3\/8 (e) -4\/39 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**20\/(h*h*(h\/h**(-12\/7)*h)\/h) assuming h is positive.\nAnswer: h**(107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 + 3*q - 2. Let f(t) = -5*t**2 - 7*t + 4. Give 2*f(r) + 5*l(r).\nAnswer: 5*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -522, -895, -1280, -1683, -2110, -2567, -3060, -3595?\n\"Answer: -o**3 - 366*o - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -0.06052.\nAnswer: -0.48416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880) - sqrt(2880)*-2)**2*2.\nAnswer: 51840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -473*h**2 - 26*h - 23. Let m(w) = -472*w**2 - 20*w - 21. Let s(c) = 3*g(c) - 4*m(c). Find the second derivative of s(t) wrt t.\nAnswer: 938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 311 (base 10) to base 11\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31485 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1915 - -5016. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g - 21. Let m be 10\/15*g\/(-2). Let d = 23 - m. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -277, -6819?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - n + 23. Determine t(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*f**2 - 2)*(4*f**2 + 3*f**2 + 12*f**2 + 3*f**2 + 2*f**2 - 3*f**2 + 2*f**2 - 4*f**2 + f**2 + (0 + 0 - f)*(f + 0 + 0) - 2*f**2 + 1 - 1).\nAnswer: -34*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 72 = -60. Solve x = -2*x + j - 2, x - 8 = -a*j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0*d - 186. Suppose -40*m + 46*m = d. Let z = 65\/2 - m. Is 3 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x = -1. Let g be (2 + 0 + -3)\/x. Let f be g + 4 - 5\/(-5). Solve f*z + 16 = -0*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 6.2. Let l = 3.3 + -0.5. Let i = n - l. Which is the nearest to -1? (a) 0.1 (b) -3\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -21 + -3 + (-2 - -6). Which is the smallest value? (a) 2 (b) i (c) 5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -20 - -12 - (3 - -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01597574 to five dps.\nAnswer: 0.01598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -151*s**4\/12 - 107*s**3\/6 + 105*s**2. Is i(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f*f*f**(1\/2)*f*f*f))\/f)\/f**9*f**(-2\/9)\/f*f*(f\/(f\/(f**(2\/11)\/f)))\/f)**(-6) assuming f is positive.\nAnswer: f**(3473\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10123 (base 13) to base 8.\nAnswer: 70127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.4 (b) 14287 (c) 1\/9 (d) -3\/7 (e) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831*v - 142*v + 2455 = 1085*v - 34589 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*o - 33*o + 4067 + 63 = -35*o for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + 3*x + 3*x)*(-x**2 + 8*x**2 + x**2) + 0*x**3 - 2*x**3 + 0*x**3 as s*x + v*x**3 + j + u*x**2 and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 244686307 rounded to the nearest 1000000?\nAnswer: 245000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**(1\/10)\/q)\/q)\/(q**(8\/11)\/q))\/(((q\/(q**(-2)\/q)*q)\/q)\/q**(-32)) assuming q is positive.\nAnswer: q**(-4029\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-1*-2)**2*-5 - ((sqrt(240) + sqrt(60))\/sqrt(12) + -4)**2*-5.\nAnswer: -7795 - 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 4 + -10)*2404\/(-12). Let d = n - 554. What is the remainder when d is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293499921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen quarters of a hour?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -7*y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 35126*k + 182. Let b(t) = 19190505*t + 99424. Determine 3824*a(h) - 7*b(h).\nAnswer: -11711*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, z: 6, t: 8}. What is prob of picking 1 n, 2 t, and 1 z?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + d**2 + 2*d + 6. Let x be o(-2). Let r = -8263\/450 - -301\/18. Calculate the common denominator of r and -2*-74*x\/(-48).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 110*b. Let x(t) = 7*t**2 + 22*t - 154. Let u(r) = -r + 7. Let m(a) = 22*u(a) + x(a). Give m(i(p)).\nAnswer: 84700*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2 - 87434*x - 8*x**3 - 2*x**2 + 87434*x. Let w(p) = p**2 - 1. Give -2*i(f) - 4*w(f).\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -10. Let m = -3 + r. Suppose m*b - 60 = -3*j, -2*j - j - 60 = -3*b. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296122650?\nAnswer: 2, 3, 5, 743, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 5568 = 7550. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/93)\/((-4)\/144) - 702\/60\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + sqrt(272))**2 + -3) + (-2*((sqrt(612) - (sqrt(612) + sqrt(612)*2 + 2)) + sqrt(612)))**2.\nAnswer: 96*sqrt(17) + 4078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 at least 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 5:34 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a1 - 320a?\nAnswer: -2819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 + 663?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d - -4?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/11 - 1554*k**3\/11 + 3114*k**2\/11 - 1558*k\/11.\nAnswer: -2*k*(k - 1)**2*(k + 779)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 + 96*u - 53*u - 45*u)*(-1 + 0 + 4).\nAnswer: -6*u + 156","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 6495\/1007?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u**4 + 18177*u**3 + 296443.\nAnswer: 8*u**3 + 54531*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594*j + 595*j = 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661624 times 3?\nAnswer: 1984872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j - 8. Let s(b) = -b**3 + 13*b**2 - 12*b + 12. What is the remainder when h(-6) is divided by s(12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -73, -166, -307, -502, -757, -1078, -1471?\nAnswer: -1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -15 + 2*p + 0*p**2 + p**2 - 13. Suppose -3722 + 3682 = 5*n. What is the smallest common multiple of 24 and v(n)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -0*h - 3*h + 2*w, -3*h + w + 58 = 0. Suppose 0 = 4*q + 2*s - 66, 2*s - 4*s = -2*q + 30. What is the lowest common multiple of h and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a millennium in decades?\nAnswer: 4350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 195 - 101. Suppose -t = -2*y - 10. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + -9 + 3 - (-33195)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 bigger than 211\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16423a1 + 4?\nAnswer: 16423a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*s - 5*s - 6*s as r + v*s and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let j be (0\/1)\/((-4)\/2). Suppose -5*y - 3*v + 7 = j, y - v + 4*v + 1 = 0. Let d(b) = -b**2 + 3*b**y - b**2. Calculate f(d(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 6*l**2 + l - 13. Let s be h(-3). Suppose -72 = s*d + d. Let a(y) = -y**3 - 6*y**2 - y - 8. Determine a(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*s + 600 = 680 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28\/11 - 73\/33. Let k = -5 - -5. What is the nearest to 4 in u, -2, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5225, -10457, -15689, -20921, -26153, -31385?\n\"Answer: -5232*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 786535.6km to micrometers.\nAnswer: 786535600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 2*j - 0*j - 15 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11342 = -213*n + 1864 for n.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 88*f**3 - 35*f**2 + 362. Let t(j) = -41*j**3 + 17*j**2 - 181. Let s(b) = 6*r(b) + 13*t(b). Differentiate s(m) wrt m.\nAnswer: -15*m**2 + 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1813*u + 928. Let f(r) = -r + 29. Let y(v) = -5*f(v) - h(v). Differentiate y(o) wrt o.\nAnswer: -1808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 0*t**4 + 0*t**3 + 0*t - t**2 + 1\/20*t**5 + 1. Let u(y) be the second derivative of i(y). Let a(p) = p. What is a(u(l))?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2417 divided by -143?\nAnswer: 2417\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**9))\/l**(3\/2))\/(l**11*l**(5\/2)) assuming l is positive.\nAnswer: l**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, 0.17, 6414 in ascending order.\nAnswer: -2, 0.17, 11, 6414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:06 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 384191.1nm?\nAnswer: 0.0003841911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (1 - 1))*18\/126.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 55 = -1769. Let p = v + -429. Suppose 0 = -4*d - 59 + p. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127\/465 + -44\/93. Which is the second biggest value? (a) 768 (b) o (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11445 - -21656. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 17. Let f be g(-8). Suppose -2*h + 3*a = -46 - 195, -f = -5*a. Does 32 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 - 2*p**5 + 0*p**2 + (-2*p**4 - 2*p + 2*p)*(3*p - 2*p - 4*p) - 2*p**5 + 0*p**5 + p**5 + (0*p**4 + p**4 - 3*p**4)*(13*p + 10*p - 33*p).\nAnswer: 23*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8 = -1. Differentiate -3 + y*a**3 - 2*a**3 - 4 wrt a.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -180694 - 278600. List the prime factors of 3\/24 + x\/(-88).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*a - 13 - 28*a + 93*a + (-1 + 0 - 1)*(-5*a + 3*a + 3*a))*(2 - 1 + 3).\nAnswer: 76*a - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/20*1 + 2 and -19\/74.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*r + r - 15, 5*s = 4*r + 5. Suppose -s*l + 6 = k + 3*k, 2*k - 2*l = 12. Find the second derivative of 12*d + 593 + 15*d**k - 593 wrt d.\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105290098 a multiple of 734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/(o\/((o\/o**12)\/o)))**45 assuming o is positive.\nAnswer: o**(-495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3942080*k**4 - 18*k**3 + 141*k**2 - 5570*k - 25 wrt k?\nAnswer: -94609920*k - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.97 - 5. Let f = g - 0.27. What is the biggest value in -4, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4986 - -5070.16. Let g = m - 2.76. What is g rounded to 0 dps?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4 = 5*p, 3*p + 4 - 28 = -3*r. Suppose 3*x = w - 0*w - 174, -w = r*x - 153. What is the greatest common divisor of 66 and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-17))**31\/((g*g**(-1\/9)\/g)\/(g*g\/g**12)) assuming g is positive.\nAnswer: g**(-4832\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -346 at most as big as -346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/10 (b) 2\/9 (c) 5 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.449*103\nAnswer: 149.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-6))\/((-5)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3280 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(882) - (sqrt(882) + -3 + sqrt(882)) - sqrt(882))**2 + 2) - (1 + 1*(2 + sqrt(882)))**2.\nAnswer: -18586 + 1134*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -221*j**7\/21 + j**4\/6 - 11*j**3\/2 + j**2 + 23*j + 3. Find the second derivative of a(z) wrt z.\nAnswer: -8840*z**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 + z**2 + 16*z + 5. Let i be a(3). Solve 0 = -i*f - 1 + 17 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 3, 2, -37?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 6*w**2 - 8*w - 11. Let t = -36 - -31. Let i be g(t). Solve -x - x + i = n, 3*n = -5*x + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17689, 17669, 17649, 17629?\nAnswer: 17609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022245 to four dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/5)\/r)\/(r*r*(r**(-1\/2)\/r)\/r*r))**37\/((r**(1\/3)\/r)**(2\/3))**43 assuming r is positive.\nAnswer: r**(-3941\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 10 - 2 = 5*t, -10 = -2*b + 3*t. Suppose -b*u - 28 = -3*u. Suppose -8 = -4*q + u. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*v - 6*d + 10*d, 4*v - 2*d - 74 = 0. Solve -4*f = -4*w + v, 2*w + 3*w - 29 = -4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -348.76 + 243.29. Let b = x - -105. Round b to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 6:12 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -179\/2 - -59. Find the common denominator of -46\/25 and p.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 15*v**3 - v**2 - 2*v - 2. Suppose -2*t - 5 = 3*t + 2*f, 5*t + f = -5. Calculate c(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x - 181 = -109 - 174. Put -3, -5, -23, x, -1 in ascending order.\nAnswer: -23, -5, -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.99 - -6. Let q = 1.01 - s. Sort -1, -2, q.\nAnswer: -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k - 57*k**2 + 20*k.\nAnswer: -57*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 8*u + 2. Let w(q) = q**2 - 3*q - 1. Let l = -159 - -151. Give l*w(o) - 3*s(o).\nAnswer: -2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 3*a + 4. Let n = -17 - -17. Let p be q(n). Suppose 0 = -3*j - 4*s - 14, -4 = -2*j - 0*j + p*s. Which is bigger: -1\/2 or j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g*g*g**(4\/3))\/((g\/g**5)\/g)*g**(1\/12)*g*g**11)**(-11\/3))**(2\/33) assuming g is positive.\nAnswer: g**(-269\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-72)\/231*(-497)\/213. Factor -2\/11*p**3 + m*p**2 + 0 - 8\/11*p.\nAnswer: -2*p*(p - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (35 + 19) - (-11 + 0).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 25*u**2 + 27*u + 74. Let d be o(-24). Solve 2*c - 3*t - 2 = 0, -5*c + d*t - 12 = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*v**4 + 7*v**2 + 20*v**4 + 47*v - 49*v to c*v + u*v**4 + p + j*v**2 + i*v**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/4)\/u)**24 assuming u is positive.\nAnswer: u**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3*q + 48, -4*u - q = u - 86. Suppose 0 = -l - 0*l - 3*g - 2, l = 5*g - 2. Calculate the remainder when u is divided by 12 + l - 1\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.864942 to three decimal places.\nAnswer: -2.865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 272203687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -7. Let x = 2 + -3. Is 47\/((x + 2)*u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 421 + -223. Let j = f + -196. Calculate the remainder when 22 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2502298.\nAnswer: 2, 17, 73597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 - -103. Suppose -167 + i = 9*s. Let o(f) = f**3 + 15*f**2 + 6*f - 18. List the prime factors of o(s).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t**3 - 7*t - 3. Let y(x) = 7*x**3 + 8*x + 3. Calculate 5*s(c) + 4*y(c).\nAnswer: -2*c**3 - 3*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4632, 9235, 13824, 18399, 22960, 27507, 32040?\n\"Answer: -7*m**2 + 4624*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 1\/3, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*d - 98 = -3*j, 2*d + 93*j - 95*j = -40 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*h + 4636 = -0*h + 47*h for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205842, -205294, -204746?\nAnswer: -204198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 p when three letters picked without replacement from {j: 6, p: 6, x: 3}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 587 + -299. Let d = b - 182. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181 (base 9) to base 6\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 3, -282, -15 in decreasing order.\nAnswer: 5, 3, -2, -15, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15576\/623 + -216\/89. Is -2 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 221 + 136?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12\/54*(-6435)\/110\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3)*d**(4\/11) assuming d is positive.\nAnswer: d**(-29\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 795*v**6 - 2*v**4 - 691*v**2 wrt v.\nAnswer: 95400*v**3 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 2*q, 176*k + 2 - 4 = 4*q + 171*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 4:43 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b + 7 - 52 - 1. Suppose -333 = -4244*g + 4232*g - 33. Let q be u(g). What is the fourth smallest value in -1\/4, -1, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2690, -2738, -2750, -2708, -2594, -2390, -2078, -1640?\n\"Answer: 3*n**3 - 69*n - 2624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e2e612ce - -2?\nAnswer: -e2e612cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209 + 209. Let l(o) = -o**2 - o + 36. Give l(x).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s + 68*s + 84 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by -6.\nAnswer: 83\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 2 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3 + 3)*(-2 + 8 + 0) + (2*o - 4*o + 4*o)*(-5 + 4 + 0) - 2 + 2 - o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 40 = 5*l - 149, -3*l + 48 = -4*f. Let a be 36\/l - (-5)\/25. Let o(q) = 0*q - q + 1 - q. Give o(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -12. Suppose m + t = -0*m. Let k(q) = -4*q**3 + 2*q + 3. Let p(c) = -13*c**3 - c**2 + 7*c + 10. Calculate m*p(l) + 7*k(l).\nAnswer: -2*l**3 + 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-280)\/12)\/(1\/6). Let m be (w\/(-50))\/(4\/10). Solve -b = m*b - 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 - (-5 - (7 + 623)). Let q = r - 620. Let s(m) = -m**3 + 8*m**2 - 6*m - 3. Determine s(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -331 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 20 = -3*n + 7*n, -5*o = -3*n - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -117 in 5, 3, 0.05, 1, 0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -18166 times -0.343\nAnswer: 6230.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -8199 greater than or equal to -8199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -37426*i**2 - 40*i - 8. Let l(f) = -24951*f**2 - 25*f - 5. Determine 8*l(z) - 5*u(z).\nAnswer: -12478*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 588321\/233442 - (-2)\/(-99)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 + 94. Solve -m - m - h = 4, 5*m + x = 5*h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssxes. What is prob of sequence sx?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*p - 61*p - 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 181338765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (-19 - -15)) + 6 - 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9*u. Suppose -678 = -14*d + 582. What is the remainder when i(-1) is divided by (-30)\/4*24\/d*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 265252380 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2564822 divided by -197294.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2971, -6428, -10345, -14722, -19559, -24856, -30613?\nAnswer: -36830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 0*x + 0*x**3 - 1\/300*x**5 + 0*x**4 + 5*x**2 - 9. Let y(p) be the second derivative of s(p). Let y(i) = 0. Calculate i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1138106.0106 - -1138199. Let f = -163 + 70. Let a = y + f. Round a to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*u - 72 = 980 - 179 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244342 is divided by 81444.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - 1.8. Let h = 57 - 50. Suppose 2*q - h*q = 2*m + 13, -m - q - 2 = 0. Is m smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 11. Suppose -o = -0*o - j. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2, 3, 1, -12, -10.8 in decreasing order.\nAnswer: 3, 1, 0.1, -2, -10.8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkhk when four letters picked without replacement from hhhkhk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/9, -3, 1\/9, 17, 6?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t + 13. Let c(z) = -4*z + 6. Let k(x) = 5*x - 7. Let a(j) = 2*c(j) + 3*k(j). Determine 7*a(g) + 5*m(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/2 = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t**3\/9 + 3590*t**2\/9 + 202048*t\/9 + 25088\/3 = 0. What is t?\nAnswer: -112, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.913 + -12.313. Let y = -0.7 + 0.5. Which is the nearest to 10? (a) v (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqyqlqxxypdqdxydx. Give prob of picking 1 d and 1 l.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -214 + 272. Calculate the remainder when x is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7469, -7459, -7447, -7433, -7417?\n\"Answer: x**2 + 7*x - 7477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173195241?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 440870915?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(9\/(5976\/1909)).\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*u**3 + 89*u**3 - 3*u - 181*u**3 to y*u**2 + z*u**3 + r + p*u and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0, -3 in decreasing order.\nAnswer: 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 203 - 209. Let c be (-3)\/x + 2\/4. Solve -h + c = 0, 4*a - h - 4 = 3*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v + 7*v - 19*v**3)*(0 + 0 + v**2) + (0*v**4 + 0*v**4 + 2*v**4)*(-7*v - 14*v - 5*v).\nAnswer: -71*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593865218 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 11748\nAnswer: 11743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/4)\/((-213)\/426)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.31, 3\/5, -2\/13, -5, -3\/8?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1540*b - 554*b + 26622 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.407769cm to nanometers.\nAnswer: 44077690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9074058 litres?\nAnswer: 907.4058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 10 = -a, 3*a - 6 + 0 = 0. Let d(i) = 33*i**2 - 59*i**2 + 27*i**2 - i - i**3. Let w be d(0). Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(3185289\/(-1061757) - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r = -2. Suppose -21 = -0*u - u + 2*y, 0 = -4*u + 4*y + 80. Suppose n + u = r*n. Calculate the greatest common divisor of 76 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 192 + 35)*(0*c - 5*c + 2*c).\nAnswer: 567*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = 4*x - 56 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuu when three letters picked without replacement from {d: 3, x: 2, i: 1, u: 4, y: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 14*l**2 + 283*l + 2889. Give r(-11).\nAnswer: 1470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 371*r**2 + 10*r - 40. Let j be h(4). Is j\/42 + 2\/3 - -2 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 + 4*g - 1. Let l(c) = 27*c**2 - 48*c - 138. Give 12*d(j) + l(j).\nAnswer: 3*j**2 - 150","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2538 and 28491588?\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -5*c**4\/4 + 61*c**3\/3 - 155*c**2 + 388. What is the second derivative of y(j) wrt j?\nAnswer: -30*j + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 850211590 to the power of 1\/2, to the nearest integer?\nAnswer: 29158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*i**3*u**2 - 6*i**3 - 93*i*u**2 + 3*i*u - 9*u**2 wrt i.\nAnswer: 816*i*u**2 - 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 20\/11199, 1 in increasing order.\nAnswer: 20\/11199, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-6))\/((-25)\/20). Which is the closest to 0? (a) 1\/2 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2 (c) 941\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:09 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 10*z**2 - 1089*z + 29748. What is f(22)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 48 = -q. Which is the second biggest value? (a) 0 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0286 + -3.9714. Let l be (-2)\/(-4) + -1 + -1. Put i, -2, l, 0.3 in descending order.\nAnswer: 0.3, l, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 24?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509134 is divided by 3034.\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/1884 and 11\/14.\nAnswer: 13188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/51, -3\/256, 5, 2, -23 in descending order.\nAnswer: 5, 2, 4\/51, -3\/256, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.030526ug to tonnes.\nAnswer: 0.000000000006030526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/25)\/((-810)\/(-3150)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -648.91 + 654. Let d = -0.09 + z. Let n = 61.5 + -62. Which is the second smallest value? (a) d (b) n (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27962.5956 - -28463.594332. Let n = g + -501. What is n rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-64)\/4)\/(3\/(-696)). Suppose -5*i + 4*p - 2*p + 9294 = 0, 2*i + 2*p = o. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqqwqwwwnwwwwwwqq. Give prob of picking 1 w and 1 n.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -11, 1\/5, -8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1250) - (sqrt(1250)*-1 - sqrt(1250)) - sqrt(1250)) + sqrt(1250))\/(sqrt(10) - (sqrt(10) - 4*sqrt(90))) + 1.\nAnswer: 1 + 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1980 and 23\/2574.\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 79*p + 859. Determine v(10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.007.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 0 + 1 + 1. Suppose -2*g + 6*g - 39 = 5*o, -2*g + 6 = a*o. Differentiate 9 - 6*v**4 - g - 21 - 6 with respect to v.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3542.981g?\nAnswer: 3542981000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -36, -98, -216, -408, -692, -1086, -1608?\nAnswer: -2276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 9:15 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3200440 (base 6) in base 7?\nAnswer: -1215621","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25 - -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 65690 - 788081.68\nAnswer: -722391.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*q + 26 = -q, 2*g + 5*q + 46 = 0. What are the prime factors of ((-207)\/(-12))\/(g\/(-48))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4128 = -650*m + 3672 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.88 and -9?\nAnswer: -34.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 5*h**4\/12 - h**2. Let y be (5\/(25\/(-60)))\/(-2). Let p(x) = x**2 - 2*x**2 - 3*x**2 + y*x**2. Give b(p(a)).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17, -37, -49, -47, -25, 23, 103, 221?\n\"Answer: a**3 - 2*a**2 - 21*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6 - -58964?\nAnswer: 58970.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30.5 - 30. Let m be -4*(2 - 9\/(-4)). Sort -1\/5, m, d.\nAnswer: m, -1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10601163 divided by -113991?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -107 (b) 2\/7 (c) 7 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t + 1. Let m = 7 + -4. Suppose -3*z + 12 = 0, -m*f + 2*z - 1 = 10. Give a(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t - 15. Suppose -6*n = -2*n - 5*r + 16, -2*n + r = 8. Let q be i(n). Is 0 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 7:08 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s + 16. Let m be c(-7). Suppose -m*o - 2*j = j - 36, 5*o + j - 90 = 0. Solve -o*q**2 - 20*q - 13*q**2 + 26*q**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47075838*p**2 - 11*p - 27070.\nAnswer: 94151676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 40 and 5124405.\nAnswer: 5124445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 738 = 423. Let g = i - -240. List the prime factors of g.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j**2 - 616. Let n(p) = 2*p. What is k(n(x))?\nAnswer: -28*x**2 - 616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i - 4 + 2 - 1 - 4*i**2 + 2*i**2. Let r be (-3)\/1*3\/(-3). What is y(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*r + 15, 3*h = 7*h - 5*r - 67. Let d be 3 + 2\/4*h. Is (-1)\/4 + 375\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47\/10 - 9\/2. Let z = -0.05 + -0.35. Which is the nearest to -1\/2? (a) z (b) 0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 + 2. Let k = -2 + 8. Let d be ((-6)\/(-14))\/(k\/8). Which is the second biggest value? (a) 4 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {d: 5, p: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -5. Let c be (2 - l) + 2 - 135\/(-9). Find the common denominator of (1\/(-2))\/(c\/87) and 63\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h**2 + 4\/3 + 2\/3*h**3 - 2*h.\nAnswer: 2*(h - 1)**2*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - (17 + 47 + 28).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 57 (b) 1375.5 (c) -345\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.255 + 0.71. Round n to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1183458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 637?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 0*(-2)\/(-6). Suppose t = -5*m - 0*m - 25, 0 = -5*a - 2*m. What is the least common multiple of a and 3\/4*-68*114\/(-323)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 37. Let u be 1*((-120)\/(-4))\/g. Suppose u*b - 523 - 317 = 0. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 - -10)*-1*7. Is 10 a factor of 28\/k - 26*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((sqrt(70)*-2)\/sqrt(10))*1.\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -121395.473 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/3)*h)\/((h**3*h)\/h*h))**(-30))**(-49) assuming h is positive.\nAnswer: h**(-3430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 2. Let j(m) = -m**3 + m**2 + 4*m + 7. Let x(r) = 2*j(r) - 7*t(r). Let o be x(2). What is the remainder when 49 is divided by (-3)\/o + 51\/2?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-12)*((-49)\/77)\/7\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 2)*(1 - 5 + 1) + 20 + 7 + 35)*(-9*z - z + 0*z).\nAnswer: -650*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -64 (b) -70 (c) 790 (d) -1\/2 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29634 less than 29634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -407 - -406.9. What is the nearest to m in 3, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/12 - 11*(-2)\/(-12). Let g be (-10599)\/c - 1\/(-2). What is g rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 49. Let f = a - 25. Is 1*f*316\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/24*-2253)\/((-30)\/(-8)). Let u = -75 + n. What is the nearest to -0.04 in 4, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 307 + -278. Sort i, -45, 1\/2 in increasing order.\nAnswer: -45, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*a**2 + 31 + 24*a**2 + 21*a**2 to the form v + y*a + x*a**2 and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 1 - (-106 - -97)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3225\/4 - -4339\/12. Let m = 450 + o. Suppose -2*i**3 + 4\/3 - 14\/3*i + m*i**2 = 0. Calculate i.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12599\/60 + -210. Let t = m - -41\/60. Let a = -10 + 6. Put a, t, -5 in descending order.\nAnswer: t, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + v = 2*f - 118, 4*v = 4*f - 112. What is the lowest common multiple of f and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 20*k + 39. Let n be 20\/130*13*9. Determine v(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 - -185. Suppose -2*q = -o - 122. Calculate the greatest common divisor of 76 and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-28)\/10))\/((-267)\/(-1869)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2648, 2684, 2744, 2840, 2984, 3188?\n\"Answer: 2*f**3 + 22*f + 2624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 + 24*b**2 - 36*b - 55. Let t(j) = -j**3 + 12*j**2 - 17*j - 27. Let s(l) = -5*m(l) + 11*t(l). Calculate s(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 4*a. Suppose -243 = -a*s + 72. What is the highest common divisor of 21 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7)\/(-3))\/(189\/4134807).\nAnswer: 51047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590 a factor of 28470677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-82)\/(-8) + (-3)\/12. Let c(i) = -9 - 3*i**2 + i**3 - 6*i**2 - 9*i + 0 + 1. Let h be c(f). Solve 2*b + h*b + 16 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/1355638 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -20. Let q = 28 - a. Suppose u = -u + 6. Solve -z - q = -3*t - 6, u*z = 5*t - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2) + 4 + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85136055 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*i - 4*i - 2*i)*(1 + 1 - 3) + i + 0*i + i - 2*i - 2*i + 2*i)*(-i**4 - 33*i**4 - 15*i**4).\nAnswer: -49*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*x - 1014 = x, 5*x = 0. Let n = c - -424. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/86*33\/44. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 5*n**2 - 3*n - 5. What is the least common multiple of j(-5) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1635 by 1.\nAnswer: -1635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/9, -10, 0.3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -107.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20407 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + z + 1. Let y(i) = i**3 + i**2 - i + 4. Let u be y(0). Suppose 0 = 2*p - 8, u*k - 1 + 5 = 2*p. Calculate w(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -59, -62, -57, -38, 1, 66, 163?\n\"Answer: s**3 - 2*s**2 - 4*s - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - i**2 - 4*i + 4. Let z(t) = -5*t - 5. Let v be z(-2). Suppose 5*x = y + 14, -4*y = v*x + 5 + 1. What are the prime factors of h(y)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 39 + -2 - (-24)\/(-8). What is the greatest common factor of 14 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 7:07 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5934)\/28 - (-9)\/(-126). Let i = v - -305. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 - 1320 = 60*i + 379 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (11\/(-22))\/(4*10\/(-1600)) and 2170?\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.105154 minutes to milliseconds.\nAnswer: 486309.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*n = 50*n + 8*n + 1701 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/7))**(-5)*(w\/((w*w\/(w\/(w*w**(-6))))\/w))\/(w*w*(w\/(w*(w\/(w\/(w\/w**(-11\/5))))\/w)*w)\/w) assuming w is positive.\nAnswer: w**(292\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7bc944 (base 13) to base 7.\nAnswer: 33666551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -1. Suppose 2*r - 2 = 3*a - 6*a, -3*a - p = -r. Calculate the least common multiple of r and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -627.583 - -628. Let v = y - -0.083. Sort 5, 9, v, -0.4 in ascending order.\nAnswer: -0.4, v, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - 9*g - 5. Calculate v(5).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + 3*j**4 - j**4)*(1 - 1 + 1) + 17*j**4 - 4*j - 2*j + 7*j - 2*j**4 - 5*j**4 + 2*j**4.\nAnswer: 13*j**4 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + 4.8. Let c = -88 - -89. Let h = n - c. Put h, -1\/3, -2\/3 in descending order.\nAnswer: h, -1\/3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/22))**(-11) assuming x is positive.\nAnswer: 1\/sqrt(x)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1 - 3*r - 1 + 11 + 2*r. Calculate the smallest common multiple of z(-34) and 35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*g**4 + 14*g**3 - 8*g.\nAnswer: 2*g*(g + 1)*(g + 2)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 9*v**2 + 2*v. Suppose -3*p - 3 = 3*z, 12*p - 5*z = 14*p + 11. Let j(x) = 169*x**2 + 170*x**2 - 342*x**p. What is k(j(u))?\nAnswer: -81*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/4577 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6\/19)\/(p\/(p*p\/p**(3\/4)*p)*p))\/((p*p\/p**(-33)*p)\/(p\/p**(-31))))**(-34) assuming p is positive.\nAnswer: p**(5253\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-2 + 4 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = -4*u, -s = 3*s - 2*u - 14. Suppose 107 = s*d - 22. What is the remainder when d is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4230)\/(-45))\/47*(-48)\/132\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 573*w - 578*w = -15. Solve -w*x + 19 = -c + 3*c, 0 = -3*x - 4*c + 29 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*o - 21 = 33, 0 = -4*o - 24. What is the lowest common multiple of 54 and x?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-224 + 194 + 136)*(3*u - 3*u - 2*u)*(-2 + 5 - 2) to the form m + a*u and give a.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6161645 decades in millennia?\nAnswer: 0.006161645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*x = y - 2, -2 = 4*y - x. Let a be y*2\/4*-4. Find the third derivative of 0*n - a*n**6 + n**2 + 0*n wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 3*b - 3. Let k(x) = x + 1. Let w(h) = 6*k(h) + 2*n(h). Let l(m) = -1474*m**2. What is w(l(a))?\nAnswer: 4345352*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3756658859?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 281\/131614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a0b5 (base 12) to base 14.\nAnswer: dc93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**2 - 2*p. Let c be g(1). Let d(w) = -4*w - w + c*w - 4*w**2 - w**3 - 6. Suppose -5*o + 2*o = 12. Calculate d(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**2\/8 + 59*m\/4 + 7693 = 0.\nAnswer: -196, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1542447*v + 7712268. Determine q(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3 - (-156)\/51). Suppose 6*v - 1 - y = 0. Suppose -v*a - 5*p = a - 3165, 5*a = -4*p + 3945. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1600) + sqrt(1600) + sqrt(1600)*1 + sqrt(1600))*2)\/((sqrt(480)*-1 - sqrt(480))\/sqrt(6)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -906 greater than or equal to -887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(154))\/(2*sqrt(11)*6))\/((sqrt(448) + sqrt(448)*3 - sqrt(7)) + sqrt(7) - (sqrt(35)\/(1*sqrt(5)) - sqrt(7))).\nAnswer: sqrt(2)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 42\/5 + 33\/5*g**2 + 237\/5*g = 0.\nAnswer: -7, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t = 1123 - 43 - 160 + 322 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g + 8. Let l be (1 - 8\/2) + 3 - 9. Give n(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w. Let v be u(1). Solve -3*j - 33 = j + v*i, 0 = 4*j + 3*i + 23 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 3*r + 1. What is the units digit of b(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 285, 429, 577, 729, 885?\nAnswer: 1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47223?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4116 = -4*n. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92227 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 3. Suppose 7*n + b + 191 = 3*n, -h*n - 3*b = 244. Round n to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, h: 3, a: 1, f: 3, k: 1, r: 2}. What is prob of sequence hrf?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -12. Let y = 2125 - 2122. Calculate the least common multiple of (-3)\/(-6)*(o - 0) and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0\/1 - (-11 - -14) - -36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-20) + -1)*(-5 + -1). Let r(c) = 37*c**n + 7*c**2 - 3 + 2*c - 4 - 36*c**3 - 6*c - 3*c**2. Give r(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 25 = 9*t. Sort t, -1, -3, 2.\nAnswer: -3, -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 44.72726 nanometers?\nAnswer: 0.04472726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 17 = 2*o. Suppose 0*j + 2*j = o*m + 56, 20 = 5*j. Which is greater: -13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 + 97. Let d = -214.9999826 + j. What is d rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 76\/5 of a century?\nAnswer: 1520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 58 = -5*m + 7, -44 = -4*o + 4*m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 303 + -1513\/5. Factor 0 + 1\/5*g**2 - k*g**3 + 3\/5*g.\nAnswer: -g*(g + 1)*(2*g - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8881*c - 2*y = -8879*c - 2*y - 2*y + 32, 19*c + 369 = 6*y for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k. Let o(d) = -1333*d**2. Calculate g(o(y)).\nAnswer: 2666*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.54 + -0.0578932.\nAnswer: 33.4821068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 221?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*y + 35, 0 = -4*y - 0*j - 2*j + 28. Calculate the highest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1520927 is divided by 569?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2349613+5.907756\nAnswer: 6.1427173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21086698 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2935 = -718*q - 1373 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (108\/60 + (-62)\/40)*8. Put 5, b, -0.3, -2 in decreasing order.\nAnswer: 5, b, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34*g + 40*g - 14*g)*(-1 + 3 + 4 + 0 + 4 - 2 + (0 - 4 + 2)*(1 + 3 - 2) - 2 + 1 + 2) to the form t*g + y and give t.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w*w\/(w\/(w**5*w)))\/w)**(-8\/7) assuming w is positive.\nAnswer: w**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s = 4. Let n = 0 - s. Let i(o) = -2*o - 9. Let z be i(-5). Solve 0*r - z = -n*u + r, -7 = -3*u - 4*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1377, 1399, 1421, 1443, 1465?\nAnswer: 1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9579.409 decades to years.\nAnswer: 95794.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 28.86743 milliseconds?\nAnswer: 0.02886743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 8. Let f(m) = m**3 - 4*m**2 - 2*m + 2. Give f(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 c when four letters picked without replacement from {b: 5, u: 6, c: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3421541 (base 10) to base 2\nAnswer: 1101000011010101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*j**2 + 32*j**2 + 44*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 5 (c) -0.1 (d) -23.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5 + 21. Is 1\/w - (-158)\/8 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljuh when four letters picked without replacement from {l: 1, j: 6, u: 4, d: 3, h: 2, m: 2}.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11365, 12459, 14287, 16849, 20145, 24175?\nAnswer: 28939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 + 9) - (((-21714)\/(-28))\/47 + -20)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 4 + (3 + 0 - 1)*(1 + 3 - 2))*(-2*s + 2*s - 5*s).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 580 + -260487722155\nAnswer: -260487721575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 7*q - 4. Let o be h(-6). Let k be 1 - -6 - 0\/2. Let v = o - k. Put v, 4, -3 in ascending order.\nAnswer: v, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69*n*t**3 + 667*n*t**2 + 169*n + 550983*t**3 + 2*t**2 with respect to n.\nAnswer: -69*t**3 + 667*t**2 + 169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5260.804 + -224808.246. Let w = p + 230075.0500085. Let h = -6 + w. Round h to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11012189.1 to the nearest ten thousand.\nAnswer: 11010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*q = -41 - 0, -z + 9 = 2*q. Let i(a) = 119*a + 6. Let y(x) = 59*x + 3. Let m(o) = z*y(o) - 6*i(o). What is the units digit of m(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -35513265?\nAnswer: 35513262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 - 0.3. Let c = 1 - 0.8. What is the third smallest value in -4, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10970 + -10966. Solve -5 = -x - z*u, -115*x - 3*u = -112*x - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -316 > -94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60745\/12 - 5066. Calculate the common denominator of (-801)\/3*7\/84 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*n - 23 = -3*s, -4*n - 39 = -5*s. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a factor of 37422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzababaaabz. What is prob of picking 2 a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(50)\/(sqrt(40)\/sqrt(4))*-3.\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 361873435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (33 + -33 + (0 - -5))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 5*n - 9. Calculate f(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2231?\nAnswer: 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6660, 13161, 19500, 25677?\n\"Answer: -81*z**2 + 6744*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4406771 less than -4406775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 4*l + 10 in the form w + f*l and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 - 40?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkfi when four letters picked without replacement from {e: 1, f: 1, l: 3, k: 1, i: 1}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + 6cb?\nAnswer: 6d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/17423201 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 1:43 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 505\/99921?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*c, 4*c = 4*v - 22290 - 46310. Let s = 18491 + -5637. Let m = v + s. Round m to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3922881*n**3 + 167*n**2 - 90*n + 47 wrt n.\nAnswer: 23537286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 56?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212579.\nAnswer: 212579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132385843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 2*p**3\/3 - p**2\/2 - 27. Suppose -l - 1 = -6, 3*g + 3*l = 18. Let z be y(g). Which is smaller: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -211769, -211748, -211727, -211706?\n\"Answer: 21*d - 211790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 11*h + 3. Let j(c) = 17*c + 5. Let k(p) = -5*j(p) + 8*n(p). What is the derivative of k(u) wrt u?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84.39 + 1.39. Let t = n - -83.066. Let r = t - 0.0623. What is r rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381324 divided by 190662?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010524848 to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*f, 3*p + 93 = 4*p + 3*f. Let d = -672 + 685. What is the greatest common divisor of d and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2303162 is divided by 8255.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49287 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27674 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/(-6) + 8719 - 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 + 8*a**4 - 1 - 2 + 3*a**3 + 3 in the form j*a**2 + c*a**4 + y*a**3 + w*a + l and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/9 and 101\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*b - 5082 = -51*b. Suppose -2*y + 2*c - 134 = -5*y, -5*y + 5*c = -190. Calculate the highest common divisor of y and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.08 - 2. Let i = 0.22 + n. Let g = 0.05 - 0.45. Which is the smallest value? (a) -1 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**3 - p**2 - 5*p + 4. Let w(m) = -23*m**3 - 3*m**2 - 14*m + 11. Suppose b - 42 = -4*i, 5*i = 5*b + 159 - 94. Calculate i*u(n) - 4*w(n).\nAnswer: 4*n**3 + n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 7. Suppose -4*x = -6 - c. Solve p = x*p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84 - -118. Let j be (-2380004)\/w - (-32)\/272. What is j rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3421 is divided by 855.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 6:22 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474267 - 2014*d**2 + 474267 - 948534 + 2030*d**2.\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*o + 80, o - 65 = -3*o + 3*d. Suppose -4*y + o = -3. Suppose -144 = -3*a - 3*r, -179 = -4*a + y*r + 31. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*i + 56 = 0, -7 = -5*w - 3*i - 105. Let x be 578\/935 + (-4)\/w. Which is the second biggest value? (a) x (b) -2 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from ddidddiddiiididdddd.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, -197, -668, -1493, -2768?\n\"Answer: -16*b**3 - 33*b**2 - 2*b + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3318 and 1022?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - m = -288, 129 = -3*g + 5*m - 159. Let a be 6\/21 - g\/56. Solve -29 = w - 7*r + 2*r, 10 = -5*w - a*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 27 = -2*a - a, -5*a + 40 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 6*v**3 - 753*v**2 - 381*v + 378 = 0.\nAnswer: -1, 1\/2, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence babj when four letters picked without replacement from jjjjbjabajbjbjba?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 4*k + 30, 2*u - 5*k = -0*k - 39 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59700\/2873 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1443 by 1191.\nAnswer: 481\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 4, -4.\nAnswer: -4, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112706814 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3812)\/(-224) - 17)\/((-22)\/348) and -113\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + 2 + sqrt(5)*2 + 2.\nAnswer: 3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 770 and 154?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -788*l + 10694 - 10614 = -290*l - 36274 for l.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/4))**(-2\/127)*((w\/((w**(-2\/5)\/w)\/w*w*w))\/w)**(-4\/3))**(2\/75))**(1\/72) assuming w is positive.\nAnswer: w**(-2047\/10287000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14020610*m**5 + 5799*m + 211 wrt m.\nAnswer: 280412200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 717*p**2 - 1443*p - 3584. What is f(-719)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 297 = 1431. Calculate the remainder when u is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 7. Let u be -1 + p*(-24)\/3. What is the tens digit of (-150)\/(-14) + 2\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7*m + 3*m = 2, 3*i - 3*m = 0. Let l be (-1)\/(-2) + 218\/(-412). Let b = l - -263\/1957. Sort b, 0, i in descending order.\nAnswer: b, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 397 + j - 391 + 779 - 55*j as y + g*j**2 + c*j and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - 4*h + 13. Let s(l) = -l**2 - 2*l + 6. Let p(v) = 2*f(v) - 5*s(v). Calculate the smallest common multiple of 1 and p(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43 times 0.0893?\nAnswer: -0.038399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 12\/677063?\nAnswer: 12\/677063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-3\/4)\/x)\/x*x**14*x**(-12\/7)\/(x*x**8) assuming x is positive.\nAnswer: x**(43\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 4 + 7)*(-2)\/(-2). Let d = -4 + x. Let z be 2\/(-2 - -4) + -8. Let g(h) = 5*h. Let w(v) = 9*v. Determine d*w(f) + z*g(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 263.2522 nanometers in centimeters?\nAnswer: 0.00002632522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 - 2*j**5 + 2*j**5 + (-j**3 + j**4 + j**3)*(-10*j - 3*j - 5*j)*(1 - 7 - 4).\nAnswer: 181*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7085*k + 66444 + 125192 - 37009 = -50838 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 4:38 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**3 - k**2 + k - 1. Calculate o(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 48, 34, 22, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/n**(-6)*n*n)\/n))**(-27) assuming n is positive.\nAnswer: n**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -196707084?\nAnswer: 196707081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/9 - -8) + (-1)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-26) - 2703\/2067. Let j(a) = 7*a**2 + 31*a + 29. Determine j(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + 1 + 1 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 5\/214041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/35*10\/(-2). Let i be j\/2 - (-88)\/(-33). Let r = 1 + -5. Which is the closest to 0.1? (a) i (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6602 + -3681. Calculate the remainder when f is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 8. Let q = -18 - -38. Let t = q + -16. What is the greatest common factor of m and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*-1*(-4)\/12. Suppose 4*n = 2*a + 616, -k*n + 0*a = -4*a - 308. Let t be (-2)\/((20\/n)\/(-5)). What is t rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53\/890 - -58357\/58740. Let z = j + -17\/165. What is the common denominator of z and 151\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 15*j**3 - 14 + 14*j**3 + j**4 + 2*j**2 + 5*j in the form x*j + i + q*j**2 + p*j**4 + b*j**3 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*d**4 - 1669*d**3 - 1942*d**2 + 125*d.\nAnswer: -816*d - 10014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - 3)*(18 - (18 + -396)). Calculate the greatest common factor of 231 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -221*w + 589*w. Factor -2\/9*g**4 + 2\/9 + 4\/9*g - 4\/9*g**3 + w*g**2.\nAnswer: -2*(g - 1)*(g + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*((-2574)\/72 - -34)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 207 - 193. What is the highest common factor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.44 - -5.44. What is the second smallest value in u, -0.02, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(2057))*-2.\nAnswer: -22*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.3 (b) 2\/19 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 45\/30*4\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 328368 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w**2 + 6. Let h(j) = -j**2 - 1. Suppose z - 4 - 8 = -b, -5*z + 61 = 4*b. Suppose -z*m - 68 = 62. Give m*h(a) - 2*t(a).\nAnswer: -4*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6)\/(-3 + 1014\/(-36)). Are y and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**4 - 2*s + 2*s + (-34*s**3 + 6*s**3 - 3*s**3)*(-5 - 3 + 4)*(-3*s - s + 2*s) in the form u*s + o*s**4 + z + t*s**2 + g*s**3 and give o.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiui when four letters picked without replacement from {u: 6, i: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 352 and 288.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -3*k**2\/2 - 4395. Let i(b) = -2*b**2 - 6. What is i(r(v))?\nAnswer: -18*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 471, 1011, 1489, 1875, 2139?\n\"Answer: -5*k**3 - k**2 + 578*k - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 71 - 35 + 3 = -6*r, 0 = 5*r - 20 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f**3 - 10 - 22*f**3 - f + 14*f**3 - 4*f**2. Let h be z(5). Solve o - 3 = -0*y + y, 3*y + h = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 131072*m**5 + 6165504*m**4 + 96054322*m**3 + 496182574*m**2 + 19272390*m + 187850 = 0.\nAnswer: -17, -13, -5\/256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -4 + 0\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10.2 in 5, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3483679324 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 223406*x + 3127292.\nAnswer: 2*(x - 111689)*(x - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, m: 10, i: 1, s: 5}. What is prob of picking 2 s?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2732965141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 796 less than 22.2?\nAnswer: -773.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/10*g**2 - 148\/5 - 15*g.\nAnswer: -(g + 2)*(g + 148)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 1\/3 (b) -0.1 (c) 5 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 23 = -8. Suppose -44 = -3*u - h. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -18 - (-4 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6541 - -3466. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzzzzzj. Give prob of picking 2 j and 2 z.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3335*y = -1259*y - 2076 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13989300 is divided by 635877?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1775, 3362, 4951, 6542?\nAnswer: 8135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 1 = -4*t + j, -2*t + 11 = -3*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 + (1 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - 0.3. Let r = -15 - -36. Let v = r + -22. What is the closest to -1 in v, 2\/5, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15136.3239 to the nearest 10.\nAnswer: -15140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 147.4, 0.0619, -5, 37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(0 + (1 - -1)). What is the units digit of 0 + y + (3 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2335?\nAnswer: 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36160 - 18083 + 2*h**3 - 18077.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 1148.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-42) + (-6)\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7082953 is divided by 1353.\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1584)*2 + -4)**2 + sqrt(66)\/(2*sqrt(486) + sqrt(486))*6.\nAnswer: -2158*sqrt(11)\/9 + 6361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) -3 (c) 0.04 (d) -1\/3 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38719*r**5 - 2408*r**2 + 19*r + 1 wrt r?\nAnswer: -2323140*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 5*r - 1271 = o, 0 = 2*r - 5*o - 649. Suppose 0 = -6*t + r + 1681. Does 36 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -45, -134, -263, -432?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1726, 7803, 0.5 in ascending order.\nAnswer: -1726, 0.5, 7803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 16*d**2 + 2*d + 215. What are the prime factors of u(-16)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3906804*a**3 + 6171*a + 6171. Let k(y) = 5065*y**3 + 8*y + 8. Give -6171*k(g) + 8*v(g).\nAnswer: -1683*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260155876.\nAnswer: 2, 137, 474737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13041342 (base 5) to base 12\nAnswer: -61ab6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1 - 7*q**3 - q**2 + 5*q + 5*q**3 + 5*q**3 - 2*q**3. Is h(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j + 0*j)*(-2 + 4 - 1)*(0*j + 2*j + 12*j).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 + 22*t + 25. Let b be m(19). What are the prime factors of (-4)\/(-8)*0 - (b + 2)?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -19*g**3 + 10*g**2 + 26*g + 51. Is i(-4) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -215, 115, 665, 1435, 2425, 3635, 5065?\n\"Answer: 110*j**2 - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9590\/38360)\/((-1)\/(-372)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -572 + 9*h - h**2 + 37*h + 7*h - 52*h to d*h**2 + q*h + z and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o - 2. Let h be k(-3). Suppose 2*j - 22 = 4*s, s - 3*j + 5 = -h. Let w(q) = -2*q. What are the prime factors of w(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 169*z. Let s(u) be the first derivative of 3\/2*u**2 + 101 + 0*u. Determine p(s(a)).\nAnswer: 507*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 420281657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 825 + f + 146*f**3 + 789 - 152*f**3 to b*f**3 + h + w*f + o*f**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 31*z = -650. Which is smaller: z or -268\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3 - 7996800*m**2 + 7993601280000*m = 0.\nAnswer: 0, 1999200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8792 = -3*l - b, -12*l + 8*l = 5*b - 11697. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -17*k**3\/3 + 9*k**2 - 2500. Let i(u) = -4*u. Give s(i(n)).\nAnswer: -272*n**2 - 72*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 411c45 - 27?\nAnswer: 411c1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/35166 and 11\/12.\nAnswer: 70332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(sqrt(91)*1*2*1)\/(sqrt(84)\/(sqrt(48)\/sqrt(4)) + sqrt(14)\/sqrt(2)*1))**2*-3.\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 8:58 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1058*j**2 + 1057*j**2 + 15*j**3 + 4*j**3 as b*j**3 + x + m*j + t*j**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -723, -1593, -2463, -3333?\nAnswer: -4203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -20a1?\nAnswer: -20a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvuuuoulguluuuuugu. What is prob of sequence guug?\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -34. Let a = p + 83. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3589*d - 3594*d + 55515 = 0. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - y**3 - 29 + 2*y + 2*y**3 in the form t*y**3 + v*y + n + k*y**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1061*j - 5583 - 2237 = -1291*j for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnv when three letters picked without replacement from nvtmdknv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -4, -9, 2 in ascending order.\nAnswer: -32, -9, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*f = 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -4*a - 4*d, -2*d + 95 = a + 25. Solve 11*o = -3*o - a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b - 608733?\nAnswer: -608780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-1*-2 + sqrt(91) + (-2*sqrt(91)*3 - sqrt(91)) + sqrt(91))*2)\/((-4*sqrt(84))\/sqrt(12) + sqrt(7) + sqrt(77)\/(3*sqrt(11))).\nAnswer: 9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 44. Let k be y(16). Suppose k + 26 = 6*o. Let c(f) = f + 4*f - o*f. Let i(p) = 2*p**2. What is i(c(v))?\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1372568?\nAnswer: 2, 171571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-4))\/((-9)\/(-36)*5). What is the third smallest value in n, -3, -5, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*o + 5, -3*o + 6 = -p - 3. Suppose -6*x = -x + 20, p*y + 3*x = 108. Suppose 0 = g - y - 45. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17427 (base 11) to base 6\nAnswer: 305143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/194 and -35\/114?\nAnswer: 11058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1 - 6 + 4. Let i(r) = -20*r + 17. Let f(q) = -4*q**2 + 7*q + 37. Let p be f(4). Let m(c) = p*i(c) + 3*o(c). What is the derivative of m(t) wrt t?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 41*x**6\/120 - x**5\/60 - 4*x**2. Let s be a(1). Solve -5*l = y + 10, -4*l - s = -5*y + l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10219 is divided by 3313.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, x: 1, o: 4, q: 8}. Give prob of sequence qooy.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 408 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -3*h**5\/80 + h**4\/16 - h - 7. Let u(l) be the first derivative of p(l). Factor u(k).\nAnswer: -3*k**2*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y. Let g(l) = 2 - 1127*l - 2 + 1394*l. Give r(g(o)).\nAnswer: 534*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6 + 3)*(0 + 0 - 2)*(-54 - 17*m + 54)*(-m + 1 - 2 - 1).\nAnswer: 238*m**2 + 476*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 70743, 141492, 212243, 282996, 353751, 424508?\n\"Answer: r**2 + 70746*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1621*g**2*o**2 - 4*g**2*o*t**2 + g**2*t + 20*g*o - 9*o**2*t**2 - o + 856*t wrt o?\nAnswer: 3242*g**2 - 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13046 and 3.571.\nAnswer: 46587.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46536895 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*l + 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x. Let u(q) = -9*q + 4. Let n(g) = 5*g + 1. Let k be n(-1). Let o(s) = 19*s - 9. Let f(p) = k*o(p) - 9*u(p). What is f(d(a))?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 39. Calculate the remainder when 134 is divided by f(-12).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z - 37*z + 91*z = 57. Solve 28 = -4*b - 4*c, c - 10 = 4*b + z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 259\/((-11345236)\/699)*(-2)\/30*-8\nAnswer: -2\/235","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(208) + -1)*5)**2*-1.\nAnswer: -20900 + 800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1\/10, 0.2, -0.1, -5, -10, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 4*g - 4*g**3 - g**3 - 2 + 2 + (2 + 1 - 1)*(0*g - g**3 + 0*g) - 1 + g**3 + 1.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11256 or 0.1?\nAnswer: -11256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -1, -2\/3, 54, 1\/10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: -48*(-161)\/1380*(-2)\/144*(-8)\/7\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 5*s**2 - 25*s + 9. What is j(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/6 and 55\/117076.\nAnswer: 351228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70154584 by -4.\nAnswer: 17538646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 134639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.5 + -11.5. Which is the closest to 2? (a) -1 (b) -1\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1510 = -289*h + 138*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 64*((-2)\/4 + 39\/(-26)). Let i = s + 125. Which is smaller: i or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6918864 divided by 6\nAnswer: 1153144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(3\/5)\/v*v)\/((v\/v**(1\/3))\/v) assuming v is positive.\nAnswer: v**(29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 10:27 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8.6, 33, 3\/4, 3, 0.4?\nAnswer: 8.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5 - (-4015)\/(-700)) + 30\/20 and 79\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 554.20247839 + -0.05488839. Let g = w - 577.6466. Let k = g + 23.5. Round k to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from znnin?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 2)*((1 - 1 + 1)*(3*v + 4*v - 11*v) - 9*v + 12*v + 7*v) in the form q + i*v and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.6349 millilitres in litres?\nAnswer: 0.1066349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x + 4*x + 12*x + 155. What is the hundreds digit of g(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/2821 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -1419, -4877, -11479, -22239, -38171, -60289, -89607?\nAnswer: -127139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 5*k + 46 = 0, -20*u - 10*k = -23*u - 6*k - 54 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l + 1. Let b be c(-2). Let p = b + -9. Let k(x) = -x - p*x + 4*x. Let a(y) = 2*y**2. Calculate k(a(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.6 - -42.6. Let b = f - 27. Let p = b + -12. Are p and 40 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.5 and -0.4.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99 - -54. Let n = v - -55. Let f = n - 17. Is -1 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1304 - -1334. Suppose 2*m + 2*k - 48 = 0, -3*k - 37 - 53 = -3*m. Suppose 0 = g*s - m*s - 186. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4\/3 (b) -80 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -50. Let o = -39.392 - w. Let u = -0.255 + o. What is u rounded to 2 dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, s: 3, w: 4, r: 2}. What is prob of sequence sa?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1535 (base 6) to base 4.\nAnswer: -12203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148276 (base 15) to base 7.\nAnswer: 11260440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 754557162?\nAnswer: 754557160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2196*o. Let q(z) = 8*z**2. Determine i(q(b)).\nAnswer: 17568*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f + 3. What is the units digit of z(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 10. Let m be 2 - (-2)\/(6\/h). Solve -j + q = 4*q, -m*q = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**6\/120 - d**5\/6 + 7*d**4\/24 + 7*d**3\/3 + 3*d**2. Let m be i(-10). Is 24 a factor of (7\/2)\/((-4)\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2 - 1. Calculate n(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*x)\/((x*x\/(x\/(x*x\/x**(7\/3)*x)))\/x)*(x**(-1\/2)\/x)**14 assuming x is positive.\nAnswer: x**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*v - 15, -2*v - 15 = 3*h - 10. Suppose 263 = 4*t + p - 34, v*p = t - 63. List the prime factors of t.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-16)*(-6)\/(-3). Let d = -0.04 + 2.04. What is the smallest value in d, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19533.988 + 19564. Round c to 1 dp.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vms. What is prob of sequence vms?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 7*n + 3. Let s(h) = -h**2 - 7*h + 1. Let b be s(-6). Let u be k(b). Let o(z) = -4*z + 1. Determine o(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21*-10.36\nAnswer: 2.1756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7129*m**2*w**2*x + 2*m**2*w*x**2 + 2*m*w**2*x**2 - 66*m*w**2 + m*w*x**2 + 29*x**2 + 2 wrt m.\nAnswer: -14258*w**2*x + 4*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*((-24)\/4 - -3). Suppose -h = -r - 1. Solve 2*q - h = -4*j, q - 6 = 4*j - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8*f**2 - 73*f + 10. Let y be i(-9). Calculate the greatest common factor of 418 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 24, -30, -136, -312, -576, -946, -1440?\nAnswer: -2076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 230*z - 1. Let r(t) = -2*t - 1. Let q(j) = -3*j - 2. Let b = 857 + -859. Let m(g) = b*r(g) + q(g). Give m(o(w)).\nAnswer: 230*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y = -12*y - 7*y + 38399. Calculate the highest common divisor of y and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 39*n**2 - 4*n - 1. Suppose 8*p = 9 + 7. What are the prime factors of r(p)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 7:33 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -2624?\nAnswer: -2625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 198*m - 199*m = -9, -2*m = -3*p - 18 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 8*k - 450. What is the least common multiple of k and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -334, -500?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.56166729 rounded to 1 decimal place?\nAnswer: 18.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 h when three letters picked without replacement from fhzzzfzbzzfbzzhcn?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - j + 7. Let b = 21 + -39. What is the remainder when w(-5) is divided by 4\/18 + (-338)\/b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111522189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 1.92, 1\/8 in increasing order.\nAnswer: -4, 0, 1\/8, 1.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, p: 9}. Give prob of picking 3 p.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (390\/234)\/((-49)\/6). Let o = 1 - 2. Which is bigger: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 5*y - 75, 0 = -2*r - 5*y + 10*y + 55. Let b = 1075 - 1090. Is (144\/b)\/((-8)\/r) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 55*a - 9. Is v(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(9))\/sqrt(4) + ((sqrt(126)\/sqrt(7))\/sqrt(9) - sqrt(2))**2 - (-1*(sqrt(294)*4 + sqrt(294))\/sqrt(3))**2)*-3.\nAnswer: -3*sqrt(2) + 7350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -0.4, 5, -14707 in descending order.\nAnswer: 5, -0.4, -2, -5, -14707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*y**4 - 4*f**2*y + 3920*f*y**4 + 41*f*y wrt y?\nAnswer: 12*f**2*y**2 + 47040*f*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g + 8 = 6*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -12435*v - 796017. Calculate p(-64).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4453*l*s**3 + l*s + 179*l + 13*s**2 - 7*s + 2 wrt s?\nAnswer: -26718*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -25. Let b = f + -10. Suppose 5 = 2*s - s - 2*j, b = 3*s + 3*j - 33. Solve -4*v = -s + 25 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = 2*x. Let o = 18 - x. What is the remainder when o is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a + o - 39 = 0, 5*a - 4*o = 186. Calculate the highest common factor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320 divided by 32.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 3 (b) -5 (c) -1\/2 (d) 2\/5 (e) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -263, 13, -8 in increasing order.\nAnswer: -263, -8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1930244, -1930242, -1930240?\n\"Answer: 2*h - 1930246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*((-96)\/(-18))\/8)\/((-66)\/(-132))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5238 is divided by 1852?\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -29*m**2 - 2*m**2 + 2*m - 21*m**2. Let l(y) = -2*y. Determine l(q(p)).\nAnswer: 104*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/119027816 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 90917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/14 + (-13)\/(273\/6). Solve s = -2*q + 3*w + 2, -3*q = -5*w - 3 - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**5 - l**4 + l**4 + (-3*l**4 + 2*l - 2*l)*(-1 + l + 1).\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbtqtqqttqtqqpbtt. What is prob of sequence bp?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 2821.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (205\/246*(-8)\/(-75))\/((-25)\/((-825)\/88))\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -315 - -372. Suppose 2*i = 6*h - 2*h + 486, i + 5*h = 208. Let u = i - p. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - j + 5*z + 2625, 0 = 2*j + z - 1038. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 530 and 2809.\nAnswer: 28090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from reerrr?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -3*v**4\/2 - 7*v**3\/3 - 4*v**2 - 9*v + 180. What is the second derivative of f(c) wrt c?\nAnswer: -36*c - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 184752*j - 18 - 6*j**2 - 184752*j in the form m + t*j + w*j**2 and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*4322.\nAnswer: -12966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17815600 by 100.\nAnswer: -178156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - 0.6. Let x = -0.09 - 3.91. Let m = -6 - x. Put -3, m, j in decreasing order.\nAnswer: j, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 561 + -544. Suppose -3*t = -0*t + 5*o - 94, 5*t - 3*o - 168 = 0. Calculate the remainder when t is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.25, 2, -54 in decreasing order.\nAnswer: 2, -2.25, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 171?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25, 99, 223, 397?\n\"Answer: 25*o**2 - o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -4.\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11099*i**3 + 25*i**2 - 5542*i**3 - 764*i**2 - 5558*i**3.\nAnswer: -i**3 - 739*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 9, 0, -1, 7, 2.\nAnswer: -1, 0, 2, 7, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 922 + 210 = 2*c. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-36)\/420)\/(2\/(-7)))\/(9\/4).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, s: 2}. Give prob of sequence su.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bsbbpbbbsbbbp.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4364011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 77 = -4*y, 0*y - y + 52 = 3*m. Let i = m - 17. What is the third derivative of -n**4 - 7*n**4 - 13*n**i - 6*n**4 + 10*n**4 wrt n?\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 2)\/(-3 - (1 + -2)). Let p(y) = -5*y**2 + 7*y - 6. Let d be p(1). Put -29, q, d in ascending order.\nAnswer: -29, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -18962 + 19002 - 4*k + 9*k. Calculate c(-11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2286 divided by 58\nAnswer: -1143\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536 = 5*r + 6*l - 3*l, -5*r + 2*l = -526. What are the prime factors of r?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13450315 to the power of 1\/2, to the nearest integer?\nAnswer: 3667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.091745431 and -15.\nAnswer: -14.908254569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 7*s**2 - s + 8. Let g be f(7). Suppose 0 = -2*d + g + 3. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + -3*(3 + -14)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i + i - 22. Suppose 3*c - 2*a + 1 = 0, -5*c - 5*a - 3 = -7*c. Put c, i, -5, 4 in decreasing order.\nAnswer: 4, i, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31\/10 + -27\/10. What is the nearest to -2 in 0.07, 5, f?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pggggpppgpgp. What is prob of picking 2 g?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-44) + -2 + (-202)\/22. Let k(q) = -8*q + 11. Let m(j) = -4*j + 6. What is x*m(i) + 6*k(i)?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -1\/213 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 768 - 748. Solve 14*b - 9*b = l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 10, -44, -138, -284, -494?\nAnswer: -780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421492 minus -0.5?\nAnswer: 1421492.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -33184409.\nAnswer: -995532.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11103217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 8:29 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -701*k**5 + 42*k - 4.\nAnswer: -14020*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/9, 9, -2\/13, 2\/7 in decreasing order.\nAnswer: 9, 4, 2\/7, -2\/13, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 4, 69, 1 in increasing order.\nAnswer: -3, -2, 1, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h - 8. Let b be x(4). Solve -g + 3*f + 21 - b = 0, 2*f + 28 = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780134417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(68) - sqrt(68)*-3) + 4 - (5*(sqrt(187) - (sqrt(187)*1 + sqrt(187))))\/(sqrt(44)\/(sqrt(16)\/sqrt(4)) + sqrt(11)))**2.\nAnswer: 21*sqrt(17) + 7501\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6158873 + 0.76704696. Let g = -0.08115959 + b. Let r = g + -0.07. Round r to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.82 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*w + 335937, 2313*u + 3*w - 1343728 = 2309*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -482, -6, 1\/12, -68?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 6)*(5*p - p + 0*p) - p - 2 + 2.\nAnswer: -29*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98903 or -100303?\nAnswer: -100303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -4*z + 6. Let i be (-4 - z) + 3\/9. What is the closest to -0.1 in -2, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183803.\nAnswer: 41, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 321*x = 328*x + 17, 3*x + 11 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74389 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 298494 and 37782?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5536332195 to the nearest integer?\nAnswer: 1769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58972673 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4795 = 3*v, 5*v + 0*p - 3*p = 7991. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -30 - (10 + 12)) + 60\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -286 + 286.146. Let r = 0.145999996 - l. Round r to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.93 + -6.5. What is d rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -61*u + 11. Let a(g) = 3*g - 29. Let v be a(7). Let d be s(v). Differentiate -26 - 499*x**2 + 6*x**4 + d*x**2 wrt x.\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 209400?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 3*o)*(2 - 2 + 11*o**2) + 32*o**3 + 24*o**3 - 84*o**3 as m + g*o**2 + u*o + p*o**3 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-30)\/(-2)*(-10)\/(-25) and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r - 10. Let o(u) = -243*u + 3. What is p(o(s))?\nAnswer: -972*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 3*c + 21, 5*c = 7*w - 6152 + 6153 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e + -3e83?\nAnswer: -3ea1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**6\/120 + 17*k**5\/60 + 19*k**4\/24 + 29*k**3\/6 - 52*k**2. Calculate the remainder when i(18) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 840 = 6*q - q, -516 = -2*w - 4*q. Solve -35*x = -w - 45 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111774853679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 27 - 5*n + 20)*(3*n - 2*n - 3*n + 2*n + 3*n - 4*n + (-3*n + 10*n - 3*n)*(-4 + 1 + 5))*(-2*n + 1 - 1).\nAnswer: 70*n**3 + 658*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n**(2\/3)\/n*n*n*n)**(-4\/25)*n**(1\/2)\/n**(-1\/14) assuming n is positive.\nAnswer: n**(-176\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let q be x(-2). Suppose 46 = 12*y - 10*y + 4*g, q*y = -5*g + 51. Which is smaller: y or 124\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(3 - 3 + 2*u**3) + (9 + 5 + 9)*(u**3 + 0*u**3 - 3*u**3) + 0*u + 2*u**3 + 0*u.\nAnswer: -50*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -2*u**2 - 1\/4*u**4 + 0*u - 1\/60*u**5 + 0 - u**3. Determine y(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*1\/((-10)\/4). Let p = -4752 + 4751.7. What is the second smallest value in p, t, -2\/9, -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 13227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2) + ((0 + sqrt(2) - sqrt(2))*-3)**2) + 1 - (-5*(sqrt(162) + 0)*-5)**2.\nAnswer: -101249 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100563120 + 5?\nAnswer: -100563113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 31*x + 89. Let k be v(-12). Which is the third biggest value? (a) k (b) -6 (c) -2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5203641 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Suppose n*b + 26 = 88. Is b a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15138 and 9047478?\nAnswer: 27142434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87984 divided by 3666.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from pwvwvvpvpvpweowwhww.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -4.93. Let g be ((-3)\/(-4))\/((-11)\/(220\/(-45))). Is t at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*x - 63*x + 9*x - 94*x - 2)*(-233*x**2 - 7831 + 7831).\nAnswer: 31455*x**3 + 466*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5299182, -5299149, -5299116, -5299083?\n\"Answer: 33*j - 5299215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 10*d**4 - 15*d**4 + 25 + 23*d**4 as x + h*d + z*d**2 + f*d**3 + y*d**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -369 - -373. What is the least common multiple of 23 and h?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 0, -2506\/10019?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 1\/6*w**3 + 0*w + 80*w**2 - 3\/8*w**4 + 0. Give p(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -427.6 + 405.6. Which is the nearest to n? (a) 1\/6 (b) -2 (c) 3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-303)\/(-15))\/(-33*230\/(-18975))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-42)*(-423)\/18*(-6)\/((-30)\/5).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00296656 rounded to four decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1003 and 14691?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 16.64?\nAnswer: 8.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u = 18*u - 45. Let z be (16\/(-24))\/(4\/6). Sort -2, u, z, 2 in decreasing order.\nAnswer: 2, z, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 154.60537 - 154.33. Round o to 2 dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -25 + 85. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1095d5 - 5?\nAnswer: -1095da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + 2 - 36\/(-20) and (1 - 0) + 10\/(-11).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -770, -671, -572, -473, -374?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 7*z**2 + 3*z - 3. What is the remainder when (198\/2)\/(10\/4 - 1) is divided by w(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27070 is divided by 222.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 + 601\/9. Let m = -26\/45 + g. Let d be (-5)\/10*1*14\/(-1). Sort m, d, 0.4 in descending order.\nAnswer: d, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 7 = 1, 4*z + 36 = 4*r. Suppose 5*c - 10 = 0, 0 = -5*q + 5*c + 5 + r. Suppose 0*l + 4*d = -2*l + 410, -q*d + 619 = 3*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 12 = -2*u. Let k = -34712.7 - -34713. Which is the nearest to -1\/2? (a) k (b) 6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.108 - 0.008. What is the nearest to 1 in -3, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*h - 99, -102 = -2*h - 8*f + 4*f. Suppose -2*i + 3*i = -3*k - 10, 5*k + h = 4*i. Is k bigger than -9\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -192.1 - -192. Which is the closest to 0.1? (a) j (b) 0.53 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2356 divided by 19.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t = 63*t + 23*t + 312. Put -5, 0, 7, -7, t in increasing order.\nAnswer: -7, t, -5, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23921172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 20. Let h(p) = i + 2*p - 3*p + 0*p - p. Let t(v) = -4*v + 16. Let q(o) = -11*h(o) + 6*t(o). Let y(j) = -6*j + 23. Determine -17*q(d) + 6*y(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 781.\nAnswer: -4\/781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 168000, -3\/5, -0.3.\nAnswer: -3\/5, -0.3, 168000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, 738, 1993, 3768, 6069, 8902?\n\"Answer: u**3 + 251*u**2 - 19*u - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/6 + (-1234)\/6. Let h be (8\/(-14))\/(7 - x\/(-28)). Solve -2*g - h = 2*d, 2*d - 2*g = d + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -151? (a) -4 (b) 36 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47883.\nAnswer: 3, 11, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 44048 to the nearest one thousand.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.17073 - 0.17073. Let r = 0 - 1. Let s be r\/(-7)*(4 - 1). What is the closest to y in s, 0.2, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/11322, 1\/10, 4, 4\/9, -2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -102781, -102799, -102829, -102871, -102925, -102991, -103069?\n\"Answer: -6*i**2 - 102775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-23)\/(-4) + (-166 - -161)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 10*x - 30. Let h be k(-13). Let i(l) = 17*l - 150. What is the least common multiple of 9 and i(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p = 6. Suppose -c - 3*c = -24. Let g = c + -11. Sort -1, g, p.\nAnswer: g, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 15. Suppose 0 = -d*k + 2*p + 3 + 16, 5*k - 35 = 4*p. What is the third derivative of 3*g**3 - 4*g**2 + 2*g**k + 7*g**2 + 4*g**2 wrt g?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euueuynehehene. Give prob of sequence nn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3*l = -9. Suppose -3*n + 120 = l*i, 2*n = 3*i + 3*n - 112. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 12) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4\/7 + 1884*g**3\/7 + 16712*g**2\/7 + 37008*g\/7 + 3168 = 0. Calculate g.\nAnswer: -462, -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u + 99. Let b be u\/4 + 1\/4. Find the common denominator of -49\/6 and ((-1278)\/(-48))\/((-30)\/b).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12154 + -11?\nAnswer: 12143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**5\/2 - 18087*n**4 + 106917447*n**3\/2 + 6451282602*n**2 - 13116255426*n = 0.\nAnswer: -118, 0, 2, 6087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-10))\/((-3)\/4). Let p be (-2)\/(-4)*(-5 + 8). Which is the second biggest value? (a) p (b) g (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.62974283 rounded to 1 dp?\nAnswer: -49.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28 (b) -2 (c) -1\/3 (d) 3 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3097 by 79957.\nAnswer: 3097\/79957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -10*x + 24. Suppose 136*g = 175*g + 546. Let j(f) = -2*f + 5. What is g*j(l) + 3*c(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*y - 3*d, 5*y + 0*d = -4*d + 9. Solve y*g = -20, g = -4*t - 4*g - 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 5*a + 9. Let q be d(-7). Let o(c) be the first derivative of -7*c**2 - 4*c + 42. What is the tens digit of o(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ijjjjjjjiijjijjjjj?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 - 9*j**2 - 270*j**3 - 2*j**4 - 264*j**3 - 18*j + 534*j**3 in the form w*j**4 + t*j**2 + b + c*j + g*j**3 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(sqrt(30)\/sqrt(150) + 3 + sqrt(5)*3).\nAnswer: 7 + 64*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 12 - (8 - 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3470, -2, 0.2, 0.3, 10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 5328*n - 7096896.\nAnswer: -(n + 2664)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 11. Let q(o) = -o**3 + 4*o**2 + 4*o + 3. Let f be q(c). Which is smaller: f or 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5498 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 262*i**2 + 298*i**2 + 306*i**2 - 861*i**2 - 332 in the form n + j*i + s*i**2 and give n.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82\/533 - (-324)\/(-78)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*n + 6 - 6 + 3)*(n**2 + 5*n**2 - 3*n**2) + n - n - 2*n**3.\nAnswer: -29*n**3 + 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*m + 35*m - 130*m + 64*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 - 15*w**2 - 2*w + 4*w + 31*w**2 as k + l*w**2 + f*w and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 = r. Let u = 219 + -219.76. Let l = 0.86 + u. Which is the second biggest value? (a) r (b) l (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252103552 (base 6) in base 7?\nAnswer: 56213414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 9 = -7. Let d(o) = -4*o - 2. Let w(s) = -3*s - 2. Let z = -2 + -3. What is g*d(j) + z*w(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 19*z\/3 - 2.\nAnswer: -(z - 6)*(3*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 130 + 190. Solve s*v = 14*v - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -2*l + 36. What is the greatest common factor of l and 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 227?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {q: 4, b: 1, u: 2, x: 6, g: 7}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vpvvp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*-1 + sqrt(216))\/(sqrt(300)*1 + sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -142*s**2. Let z(w) = -36*w**2 - 66*w + 22. Let l(j) = 5*j**2 + 9*j - 3. Let f(y) = 44*l(y) + 6*z(y). Give f(p(x)).\nAnswer: 80656*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 3. Let b(d) = -d**2 + 40*d - 77. Let s be b(2). Let q be s*3\/15*r. Put -5, -2, 0, q in ascending order.\nAnswer: -5, -2, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7976158 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54389327 to the power of 1\/3, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.131260594 rounded to four dps?\nAnswer: -1.1313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(600\/(-128))*(-21)\/84\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 439314.88 rounded to the nearest ten thousand?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141674128.\nAnswer: 2, 1013, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -5. Suppose -t*z + g = -1 + 5, 12 = 4*z + 3*g. Let h = 6 + -11. Which is the smallest value? (a) 1\/5 (b) z (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6512912*s. Let k(c) = -c**2. Give z(k(n)).\nAnswer: -6512912*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((140\/32)\/(-7))\/((-30)\/24)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -21*f**3 - 9*f**2 + 3*f. Let s(r) = 10*r**2 - 22*r**2 + 11*r**2. Let k(c) = -q(c) + 9*s(c). Find the second derivative of k(z) wrt z.\nAnswer: 126*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - 36)\/(-2 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 879 + -2611\/3. Calculate the common denominator of b and ((-1558)\/(-418))\/((-2)\/(-11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 + 4*a**2 + 2*a - 7. Let b be q(5). Let y = b + 477. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8204 = 1710*r - 290*r + 872*r - 12424 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and 515.61?\nAnswer: 508.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(343) + -2 + -2*sqrt(343) - ((sqrt(343) + -1 + 3 - sqrt(343))**2 + sqrt(343) + sqrt(343))) - (-5 + (4 + sqrt(343)*1 - 4*1*sqrt(343))**2))*4.\nAnswer: -12404 + 588*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**3\/3 - n**2\/2 - 271. Let q(x) = 2*x**2 - 8*x. What is -q(o) + 6*u(o)?\nAnswer: 4*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-2))\/1 - (-8)\/8. Let y be 2\/4 - (90\/12 - 9). Let x = -11 - -8. Put o, y, x, 6 in ascending order.\nAnswer: x, y, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)*-1*-4)\/sqrt(10))\/(1*sqrt(1089) + sqrt(1089) + 1*sqrt(81)) + -4.\nAnswer: -4 + 4*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 10*w = 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 9*l**2 + l + 10. Let v be u(8). Let b = v + -24. What is the remainder when b is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 minus 1044928.1?\nAnswer: -1044927.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mym when three letters picked without replacement from {e: 1, y: 1, r: 5, o: 1, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (5 - (-7 - -18))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 175430809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1607 - -1651. What is the smallest common multiple of g and 80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 4*a**2 - 5*a + 4. Let x be (-42)\/(-28) - (-3)\/2. Determine c(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2220 by -185.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-2*-1)**2 - (-3 + (1*sqrt(200))**2 + sqrt(200)).\nAnswer: -10*sqrt(2) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1695306?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*a**3*l**2 + 3775*a**3*l - 2*a**3 - 2*a**2*l + 127*a**2 - 6*a*l**2 + 1925*l wrt a.\nAnswer: 240*l**2 + 22650*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.5 less than -254231953675?\nAnswer: -254231953621.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000037927269 rounded to seven dps?\nAnswer: -0.0000379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -265709\/4660 + 1143\/20. Find the common denominator of l and 97\/2.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-3\/4))\/(d*(d\/d**4)\/d*d)*((d**(-2\/19)\/d)\/d)\/d**(1\/3))**(-46) assuming d is positive.\nAnswer: d**(-6877\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/19665423 and 101\/428?\nAnswer: 78661692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.101 - 95.6?\nAnswer: -95.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -2) + (-780 - -795)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -334*c**2 + 294*c**2 + 2 + 12 - 6 - 2*c in the form t*c + p + q*c**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 - 12*d + 14*d**2 + 17*d - 4*d + 0*d - d**3 to the form l + y*d**2 + i*d + b*d**3 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 4.92, -0.3, 0.3, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**3 + 4*k**2 - 4*k - 4. Let j(v) = 11*v**3 - 9*v**2 + 9*v + 9. Suppose -o - 5*b = 3*o + 16, 0 = -3*o + 3*b - 12. Determine o*j(y) - 9*a(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-222)\/(-148)*(-1)\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 = 4*k, t - k + 3 = -4*k. Calculate the remainder when 8 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*q**3 + 27*q**3 - 113*q**3 + 29*q**3 + 32*q**3.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 + 15*y**2 + 19*y + 10. Let w be c(-6). Solve -2*s = -w*s + 7*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 10:01 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -23*z**3 + 3*z**2 - 12. What is u in p(u) = 0?\nAnswer: 0, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.81589399 to two decimal places.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j = -2*x + 2638, x - 1334 = 3*j. List the prime factors of x.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37521 and 135.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 12) in base 10?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9*u**2 - 7*u + 13. Let s(v) = 5*v**2 + 4*v - 7. Let x(p) = -5*s(p) - 3*w(p). Let k(q) = 0 + 0 - 1 - 9*q - 19*q + 29*q. Calculate -3*k(o) + x(o).\nAnswer: 2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 98 = -13*v - 10, 60*b - 7*v + 96 = 56*b - 3*v for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36361729?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + -697689.2.\nAnswer: -697689.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o. Let u(p) = -5113*p + 1. Give u(x(g)).\nAnswer: -40904*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 208\/(-34) + (42 - 36). Which is the second biggest value? (a) -4 (b) -10\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.4, -2\/25, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5324, 5322, 5320?\nAnswer: 5318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 + 44*n**2 - 28*n + 2. What is x(21)?\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -166*r**3 - 4*r**2 - 4. Let c(y) = y**2 + 1. Calculate -4*c(j) - g(j).\nAnswer: 166*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (sqrt(2299) + sqrt(2299) + 1))*3*-5 + 0)**2*-5.\nAnswer: -2587500 - 24750*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 + 2*g. Let o(w) = 7*w**2 + 5*w. Give 15*n(r) - 6*o(r).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-9)*(-3969)\/108. Solve 7*c + 14 = k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10 + 30 = 0. Suppose 5*p - y = 5*q, 4*q + 10 = 2*p - 14. Suppose 0 = p*s - 312158 - 135842. What is s rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**6\/21 + 48*i**5\/35 - 45*i**4\/14 + 44*i**3\/21 + 724. Solve c(h) = 0 for h.\nAnswer: 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 38 + 95 = 0. Suppose -5 = -4*d + x. Let c(a) = d*a + 2*a - 2*a + a. Let l(u) = 6*u. Calculate l(c(p)).\nAnswer: 42*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 291247 + -19?\nAnswer: 291228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (0 - -2))\/(-1). Let h be 3 - (-4)\/((-2)\/v). Solve u = 2 - h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 9*w**2 + 3*w - 4. Let b be j(12). Suppose -7*o = 278 + b. Let p = -24 - o. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -2 (c) 11 (d) -5 (e) 7 (f) -6.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -11*m**4\/24 - 8*m**3\/3 - 29*m**2. Differentiate i(l) with respect to l.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1217898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + -2 - -1)\/(-1). Suppose -2*o - o + f*a - 144 = 0, -4 = -2*a. Let w = o + 214. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -4\/7, 0.5, -8, 1\/3, 0.14?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-411458)\/1)\/(30\/5))\/(2\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285.91584 months to decades.\nAnswer: 2.382632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 1108.\nAnswer: 12188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 5*d + 15. Sort d, 1, 2 in increasing order.\nAnswer: d, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -199*p. Let i(v) be the second derivative of v**4\/6 + 102*v. Determine i(q(y)).\nAnswer: 79202*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000080811 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 d, and 1 g when three letters picked without replacement from pppppppgpdppp?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14022 + 14027. Sort s, -5, 1, -16\/7, 2.\nAnswer: -5, -16\/7, 1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -141*f**5\/10 - 13*f**4\/12 - 5369*f**2\/2 - 963*f + 7. What is the first derivative of l(t) wrt t?\nAnswer: -846*t**2 - 26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.441 - -0.321. Let i = -1.42 - -1.3. Let f = c - i. What is the closest to -1 in 0.4, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b**2. Let t(a) be the first derivative of -1\/2*a**2 + 0*a + 6. Give t(c(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v - 6. Let j(s) = -4*s + 3. Let h(l) = -l**3 + 15*l**2 - 3. Let k be h(15). Determine k*q(z) - 5*j(z).\nAnswer: -z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 0*x**2 - 1\/2*x**3 + 0 - x. Let m(a) = 165*a + 167*a - 333*a. Give m(o(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 38178a36 - -5?\nAnswer: 38178a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2568*k = -2719*k - 5232 - 355 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3448*x**5 + 303*x**4 + x**2 + 1600665*x.\nAnswer: -206880*x**2 + 7272*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12026 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 2.15227.\nAnswer: -0.860908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5\/5 + 33*u**4\/5 + 461*u**3\/5 + 1023*u**2\/5 - 92*u - 1056\/5 = 0. What is u?\nAnswer: -8, -3, -1, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 248 + -8.57751.\nAnswer: 239.42249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94261*u*v**5 + u*v**3 + 2*u*v**2 + 8*u*v + 2*u + 243*v + 3 wrt v?\nAnswer: -1885220*u*v**3 + 6*u*v + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znzndzfdzbzbpbzbbznz. What is prob of sequence dz?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*o = -33, -3*o = -4*h + 2*o + 132. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h. Let g = 13 + -17. Sort h, g, 5.\nAnswer: g, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2858 a factor of 92438328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 11) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25112 (base 6) in base 2?\nAnswer: -111010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.0528 and 33.\nAnswer: 298.7424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = -s + 4*w - 3, -w = s. What is the fourth biggest value in -1\/2, -2, s, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -35.08 and -39512?\nAnswer: 39476.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u + 31 = 2*b, 0 = -u - 3. Solve -3*i - 12 = 0, 0 = -3*k + k - 5*i - b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 145 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - q + 9, -18 = 5*g - 2*g - 4*q. Let y = 11 + -8. Suppose 0*l + 9 = y*l. Which is the closest to 0.1? (a) l (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - 5*f**2 + 2*f**2 - 156 + 4*f**2 + 2*f.\nAnswer: f**2 + 2*f - 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.6 or -0.018?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 538 divide 212239924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33698, 33555, 33412, 33269?\nAnswer: 33126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -381535240 divided by -5\nAnswer: 76307048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 149578600 divided by -236675?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -4*g + 0 + 0*g**3 + 0*g**2 - 1\/4*g**4. Let a(b) = -2*b. Determine a(f(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 110164 + 202?\nAnswer: 110366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -268, -271, -274, -277, -280?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p - 74. Give a(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/3*(-3)\/2. Solve -4*c - o*v = -0*v, -3*c = 2*v + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(-b - 2*b - b) + 2*b + 0 + 0 + (-2 - 2 + 5)*(b - 6*b + 2*b) + (-1 - 1 + 0)*(2 + b - 2) - b + b - b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -65, -63, -61?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 261 and 19082?\nAnswer: 171738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f = -10 + 116 + 356 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 790.5255 decades?\nAnswer: 79.05255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - d = -0*d - 326, 4*f + 5*d = 334. Suppose -f = -5*y + 39. What is the remainder when 119 is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 264*j**6 - 91*j**2\/2 - 3*j - 473. What is the second derivative of d(p) wrt p?\nAnswer: 31680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**3\/2 + 3*z**2\/2 + 7*z. Let i be b(-16). Is i > -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 13 - 34)*(2 - 2 + 2*t**2) - t**2 + t - t.\nAnswer: -55*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13309 (base 10) to base 3\nAnswer: 200020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 9*k + 2. Calculate b(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002294 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*z**3 - 1564*z**2\/5 + 128*z.\nAnswer: -2*z*(5*z - 2)*(9*z + 160)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 5*d**2 + d - 1. Let x be w(-6). Let p = 75 + x. What is the remainder when (-746)\/(-6) - 6\/(-9) is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 5*x - 1. Let g be c(3). Let d(q) = -q**3 - 5*q**2 - 6*q - 6. Calculate d(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 + -151. Let o be q\/(-45)*45\/2. Suppose -b = t - o, -5*t - 18 = 3*b - 4*b. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 5*g + 2. Let a be x(4). Calculate the highest common divisor of a and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -2\/2731?\nAnswer: -2\/2731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 815, 1783, 3129, 4847, 6931, 9375, 12173?\nAnswer: 15319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (22 - 24)*(-190)\/4. Suppose 97*p = x*p + 4. Solve 0*z - l = z, p*z = -3*l - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.135663 rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 13 + 9 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or 49?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 117 * 1.84\nAnswer: 215.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + sqrt(2156) + sqrt(2156)*2 + (sqrt(1584) + -1 + sqrt(1584) + 1 + sqrt(1584)*2*-4)**2.\nAnswer: 42*sqrt(11) + 57030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000182844058 rounded to six decimal places?\nAnswer: -0.000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2*u)**(-43))**(-46) assuming u is positive.\nAnswer: u**5934","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + w + 6. Let c be g(0). Let y = c - 1. Suppose -4*f = -61 + y. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(1\/(-6)*1). Let k(i) = -u*i**2 + 3*i**2 + i**2. Let s(d) be the first derivative of d**3 + 11. Calculate s(k(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2 - 36*u - 31. Let b be t(-11). What are the prime factors of b\/6 + (-5128)\/(-6) - 2?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 5\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mrrmrmmrrmmrr?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 134 - 66 = 0. Let q = 42 + j. Find the third derivative of 9*g**4 - 40*g**2 + 58*g**q - 42*g**2 wrt g.\nAnswer: 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 679413?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -444*b**2 - 5381*b + 103. What is l(-12)?\nAnswer: 739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38259199 + 38259993.999775. Let d = 795 - a. Round d to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsgks. Give prob of sequence gsks.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 927 - 629. Let h be 3 + f*(-3 - 0). Let v = h - -1700. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 p when three letters picked without replacement from {y: 5, f: 5, p: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 271962.8475 rounded to the nearest 100?\nAnswer: 272000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**3 + 8509016*s**2 - 25527084*s = 0. Calculate s.\nAnswer: -2127257, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 1409609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/20*((-2)\/(-7) - (-150)\/(-378))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.16 - -1.19. Let y = -0.03 + r. Let b = -8 + 12. What is the second biggest value in -3\/7, y, b?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1173)\/(-68))\/((-3)\/8). Suppose -230 = 2*o + 3*o. Is r greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 6*v**2 + 33*v - 18. Give r(-10).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1432 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2*x + 3 = -1, 0 = -5*k + 3*x - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**5 + 2*k**2 - 9*k**5 - 3*k**5 - k**5 + 0*k**5 + 2*k**5 + (-2 + 2 + 2*k)*(-3*k**2 + 2*k**4 + 3*k**2).\nAnswer: -3*k**5 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k + 8. Solve -4*z = -k*g - 20, -25 = 3*z - 4*z + 5*g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/7 or -18\/1353307?\nAnswer: -18\/1353307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.9813 to one decimal place.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -7. Let w be 8 + (r - 40\/5). Solve -w*v = 3*m - 7, 5*m = -4*v - v + 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x**3 - 13*x**2 + 8*x - 25. Is t(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21210101020 + -10211?\nAnswer: 21210020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5 + 3*c**2 + 3*c**2 - 14*c + c - 5*c**2. Let z be m(13). Suppose -6 - 6 = -4*g. Solve z*q = g*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.6702716 nanograms?\nAnswer: 0.0000000000006702716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69.7 + 69. Suppose h = 5*g - g - 10, -6 = -4*g - h. Which is the closest to v? (a) 0 (b) -1\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/2 - ((-1)\/(-2) - -15). Put -1.1, w, -1\/3 in descending order.\nAnswer: -1\/3, -1.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -10. Differentiate -3*p + 10 + h*p - 15 with respect to p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c379 (base 14) in base 11?\nAnswer: 23297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/11, -38, -0.75.\nAnswer: -38, -0.75, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 3, -3, -1966 in ascending order.\nAnswer: -1966, -4, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 623223 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41, -67, -67, -29, 59, 209, 433?\n\"Answer: 2*t**3 + t**2 - 43*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8581036 by -4290518.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r = 2*b - 9, -4*b = -2*r - 14. Let v(a) be the first derivative of 1 + 3\/2*a**b - 2\/3*a**3 + 2*a - 3*a**2. Determine o so that v(o) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2025)*1 - sqrt(2025))\/(sqrt(80)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 377 + -233. Let q(a) = 2*a**2 - 13*a + 43. Let r be -5*99\/(-110)*(-2)\/(-3). Calculate the smallest common multiple of p and q(r).\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - -81 - 70 - -52?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102942216863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -36, -54, -72, -90?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g - 9. Let m(s) = s - 5. Let w(o) = 2*a(o) - 5*m(o). What is the least common multiple of w(6) and 4 + -2 + 1 + 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -1\/4*v**3 + 2*v - 24 + v**2 - 1\/24*v**4. Factor k(n).\nAnswer: -(n - 1)*(n + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40837979 and 182?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11684784079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**6 + 85*w**4 + 56*w**2.\nAnswer: -240*w**3 + 2040*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.448 + 1.552. Which is the closest to 3? (a) k (b) 4 (c) -1.3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r + 20 = 0. Let d(w) = w**3 + 6*w**2 + 5*w + 2. Let z be d(r). Solve 5 = -z*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/5)\/(-2)*5 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817493 is divided by 48086?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(15\/7)*k**(-1\/2)\/(k**2*k))**(2\/151) assuming k is positive.\nAnswer: k**(-79\/1057)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9*c**2 - 2*c - 1. Let p be o(-1). Let m = -5 - p. Suppose -2*i + m = 1. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in -20, 2, 1\/9, 1352\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2. Let d(t) be the second derivative of 0*t**3 + 1\/2*t**4 + 0*t**2 + 16*t + 0. Give s(d(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 9395933*q.\nAnswer: -q*(q + 9395933)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l - 345. Let w be (l\/(-2))\/3*-2. Calculate the highest common divisor of w and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -723 (b) 0 (c) 0.045 (d) -0.2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 25 = -5*d - 10, 0 = -2*w - 10. Let f be d - 1 - (5 + -11). Suppose -2*m + 66 = 5*l - 100, f*m + 6 = 0. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2\/11 (c) -0.3 (d) -70 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 193*o + 22856 - 30190 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/364973 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*z + 20, 4*z - 2*z - 26 = 5*j. Suppose 5*w - 17 = z. Solve 0 = -4*s + 16, -5*s + 28 + 7 = w*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 55*c - 94 - 146*c + c**2 + 75*c. Is j(25) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 5. Let s(t) = 2*t - 11. Suppose -14*p + 18*p + 12 = -4*o, p = 4*o - 13. Give p*i(n) + 3*s(n).\nAnswer: n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86695288?\nAnswer: 2, 10836911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, e: 2, r: 3, c: 2, p: 9}. Give prob of picking 1 p, 1 e, and 2 c.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (80\/(-100))\/((-4)\/(-30)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 758, 738, 706, 656, 582, 478, 338?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**3\/3 + x**2 - x + 1. What are the prime factors of m(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, x: 1, p: 4, u: 4, i: 4, r: 1}. Give prob of sequence xiu.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120 - 122. Is (30 + 4)*n\/((-8)\/58) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 n when four letters picked without replacement from {g: 7, w: 1, s: 4, y: 1, n: 3}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 - 15*p**2 - 9*p - 5. Let l(h) = h**3 - h**2 - 2*h + 1. Let a(b) = j(b) - 4*l(b). Give a(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-3\/7)\/s)\/s**(-6))\/(s**1*s)**(-28)*(s\/s**6*s)\/s**(-3)*(s*s\/(s*s**(1\/4)))\/s**3 assuming s is positive.\nAnswer: s**(1661\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 21, 5, 3 in decreasing order.\nAnswer: 21, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31395618703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*h + h + 266400001, 3*h + 133199997 = a. Suppose 0*d = 4*d + a. Round d to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1392 and -17\/8.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12295.8 + 12295. Let n be ((-4)\/20)\/(9\/(-5)). Which is the closest to -1? (a) t (b) n (c) -1\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549 = -4*z - 3*s, -5*z - 154 = -2*s - 846. Let r = -557\/4 + z. Suppose 0*g = 5*g - 20. What is the closest to 1 in g, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 770 - 970 = -5*k - 5*m, -k - 4*m = -16. Calculate the greatest common factor of k and 390.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 9*u**2 + 6*u - 29. Let g be k(9). Let m = -2 + 58. Let x = m + -6. Calculate the greatest common factor of g and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f + 12. Let u(k) = 9*k - 24. Let h(p) = -11*a(p) - 6*u(p). Let v be h(-11). Solve -2*o + o = v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 35289*v + 634876. What is s(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 338481?\nAnswer: 338481","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/55 and 31\/275.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**5\/100 - n**4\/30 + n**3\/30 - n - 2. Let y(g) be the first derivative of u(g). Factor y(d).\nAnswer: d*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 3 = -2*b. Suppose -q = 2*y - b + 2, 0 = -4*y - q + 18. Solve -2*w - y*m = w - 16, -2*w - 4*m = -12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5326 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1227 - -3369. List the prime factors of s.\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from vxxvxxvxxxx?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1564)\/85)\/92)\/((-4)\/(-930)*57\/38)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 - 4*q - 1. List the prime factors of c(-4).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1725 - 1720. Solve 0 = -s*f - 10*f - 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y + 3569. What is r(113)?\nAnswer: 4586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7692 + 7695. What is the least common multiple of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 284 + -242. Calculate the remainder when 119 is divided by i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**(-4)*r)\/r*r))\/r)**(-20)*(r**(-3\/5))**(1\/33) assuming r is positive.\nAnswer: r**(-3301\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htssstshststsshsh. Give prob of picking 1 h and 2 t.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7362*g - 14491*g + 7272*g = 7293 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, x: 1, u: 1, s: 2}. Give prob of picking 1 x, 1 s, and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -396910, -397171, -397876, -399247, -401506?\n\"Answer: -37*b**3 - 2*b - 396871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*y**2 - 41*y + 41*y)*(-5*y**2 + 0*y**2 + 3*y**2) + y**4 - 2*y**4 + 3*y**4 in the form l + m*y**4 + z*y**3 + h*y + v*y**2 and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - j + 1. Give z(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41779 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2 + 33*m - 328. Give g(9).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 155559.861 to the nearest one thousand.\nAnswer: 156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:57 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3241185081 by -3.\nAnswer: 1080395027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + m + 2. Let i = -8 + 6. Let b be l(i). Is ((-636)\/b)\/((-3)\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2963.554939245 from 0.8.\nAnswer: -2962.754939245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -912921 divided by -15?\nAnswer: 304307\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*4\/6*132\/352. What is the nearest to -1 in -1\/5, -6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -423 in -39.4, 0.6, 1\/5?\nAnswer: -39.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -7*p**2 - 1\/70*p**7 + 0 - 25\/2*p**3 + 0*p - 3\/10*p**6 - 15\/2*p**4 - 23\/10*p**5. Find g such that r(g) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 227 + 15?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1461*q - 1464*q + 2037. Calculate the greatest common divisor of 97 and q.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123368162 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 1\/6*k**3 - k + 0 + 7*k**2. What is the units digit of v(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**6\/42 + 6*i**5\/35 + 13*i**4\/28 + 4*i**3\/7 + 2*i**2\/7 + 22. Suppose g(k) = 0. What is k?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**4 + 4*k**3 - 2*k**2 - 3*k + 3. Let b = -19 - -15. Let r(c) = -3*c**4 + 5*c**3 - 2*c**2 - 4*c + 4. Let j(d) = b*t(d) + 3*r(d). Factor j(x).\nAnswer: -x**2*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*r - 79. Suppose -3*f = -4 + r. Let g be (971994 - -6)*f\/3. Round g to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 + 188. Let i = o + -77. Suppose 114 = 6*w - i*w. Is 21 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-12)*-2)\/(1\/747). Let y = -544 + j. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11161705 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8*m**2 + 17*m + 6. Give k(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(3\/9))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*x + 326*x - 5525 = -60*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10010101000011 (base 2) to base 6\nAnswer: -112055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 410825740 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 276466 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 784 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1729 - 1827 - 1206 + 1155)*(-s**4 - 5*s**4 + 2*s**4) to the form y*s**3 + q + c*s**4 + j*s + i*s**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 7:48 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -561 - -604. Let n = m - 39. Calculate the remainder when 98 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -4788?\nAnswer: 67032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -104140 and -104143 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-1)\/(-8)*2). Suppose 0*c - 3*m - 94 = -4*c, -133 = -5*c - t*m. Find y such that 28*y**2 + 7*y - y - c*y**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -491719 divided by 220?\nAnswer: -491719\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3887384132?\nAnswer: 2, 37, 26266109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35942, 41683, 57276, 87647, 137722?\n\"Answer: 821*j**3 - 6*j + 35127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 30*c**2 - 12*c + 8. Let v be p(2). Let k = 286 + v. What is the greatest common factor of k and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3212 + 1?\nAnswer: 3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**3 - h**3 - 4*h**3 + (-4*h**2 + h**2 + 4*h**2)*(4*h - h - 7*h) + 0*h**3 + h**3 + 0*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/9660 and 139\/6?\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3821, -2663, -1505, -347?\n\"Answer: 1158*l - 4979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 76*a.\nAnswer: -2*a*(a + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0765591 + 2.\nAnswer: 1.9234409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4908 and 1702662092?\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p*w**4 + p*w**3 + p*w**2 + 3*p*w + 2025168*w**4 + w**3 - 2670*w**2 + 674*w - 2 wrt w?\nAnswer: 48*p*w + 6*p + 48604032*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/2*((-400)\/(-24))\/(-10). Suppose i*v - 15540 = -v. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, r: 2, o: 4, y: 1, i: 1}. Give prob of sequence oroi.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -3. Let s(o) = 93*o**2 - 1 - 7 - 84*o**2 + 12 + 5*o**3 + 9*o. Let x(j) = j**3 + 2*j**2 + 2*j + 1. What is f*s(p) + 18*x(p)?\nAnswer: -2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/40 and 85\/664.\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -29. Suppose x - 4*h - 109 = -6*h, x - 3*h - 99 = 0. Let u = x + -75. Calculate the highest common divisor of g and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2882 - 2880.5962. Let z = 15 - 13.6. Let r = x - z. What is r rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 15.5. Let y = -0.5 + f. Let r = y + -3.7. Which is the closest to -0.1? (a) r (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o + 7 - 9 + 2*o. Let i be (-3 - (-1 - 6)) + -2. Suppose -5*z - i = -4*z. What is d(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 3*r + 0*r + (-r - 7*r + 3*r)*(2 - 1 - 4))*(5*r - 3*r - r).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/sqrt(4)*-4 - (sqrt(252) + -2)) + (sqrt(70) - 4*(sqrt(70) - ((sqrt(70) - (sqrt(70) - sqrt(70)*-1)) + sqrt(70))))\/(sqrt(70)\/(sqrt(7)*3)).\nAnswer: -27*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 3 + 2*i + (1 + i - 1)*(4 - 1 - 2))*(20194*i**2 - 20194*i**2 + 83*i**3) in the form z*i**2 + w*i**3 + u*i**4 + q*i + v and give u.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16423 divided by 1.\nAnswer: 16423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-4 + -5 - -21)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*y = -261672 + 258997 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + s**2. Let r(b) = -5*b**3 - 2*b**2 - b - 3. Let q(u) = -4*j(u) + r(u). Suppose -l + 2*k - 7 - 3 = 0, 22 = -4*l - k. Calculate q(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = x - 38. Suppose 20 = -7*b + 2*b. Does 3 divide (b\/8)\/((-2)\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -31301?\nAnswer: 31312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-81891)\/11016 - (-6)\/16. Let v = z - -806\/119. Let r = -5 - 3. What is the nearest to r in 2, v, 4\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.07, 2\/5, 5\/3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 9 = 1. Let c be (-3)\/(-6) + (-215)\/v. Round c to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6314, -6312, -6310, -6308, -6306, -6304?\n\"Answer: 2*s - 6316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lii when three letters picked without replacement from {i: 3, z: 2, w: 4, l: 9}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26198 - -26198.4. Which is the closest to 2? (a) -1 (b) 1 (c) w (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 + 61. Let o = 8630.02 + -8630. Sort -3, o, v, -0.5 in increasing order.\nAnswer: -3, v, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17138*r - 5698 + 5698 to the form s + x*r and give x.\nAnswer: -17138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2797414 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 207200, 207205, 207210, 207215, 207220?\n\"Answer: 5*g + 207195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = 3*z, -3*z - 15 = -3*f + 6. Let y(d) = -d**3 + 13*d**2 - 14*d + 5. Is y(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/10*((-3 - -6) + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 0. Let u = o + 30. Solve -3*z - u = -1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -653.40164 + 0.00164. Let f = h - -656.157. Round f to one decimal place.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m - 250. Suppose -27 = -2*i + 5*n, 0 = -4*n - 0*n - 12. Is (i\/3 - m) + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1067 and 15037.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-224)\/(-448)*(1 - 11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**8)**(-42)*(h*h*h\/(h\/((h*h**20*h*h)\/h)*h*h))\/h*h*h*h**(2\/3))**7 assuming h is positive.\nAnswer: h**(-7441\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o**2 + 6*o + 3*o - 3*o**3 + o + 5*o**3 - 4 = 0. What is o?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10114, 20228, 30340, 40450, 50558, 60664?\nAnswer: 70768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7430*j - 10612.\nAnswer: -7430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**4\/3 - 12*u**2. Let p(h) = -20*h + 5*h + 8*h + 5*h. What is p(l(c))?\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 + 86. Let t(u) = -2*u + d*u + 2*u - 9 - 3*u. Let j = -7 - -11. Calculate t(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 + 0*p**3 + 24069*p**2 - 24076*p**2 - 4*p - 3 + p**3 to m*p + i*p**3 + t*p**2 + y*p**4 + c and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 95473478*c**4 - 108085602.\nAnswer: 381893912*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 20195 to the nearest 100.\nAnswer: 20200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 460 and 50?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*f - 5, -4*j + 2*f - 5 = -3*j. Solve 3*n - 5*q = -27, q - j = n + 2*q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2774879 * 0.002.\nAnswer: 5549.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 357 + -355. Factor 2*h + 6*h**2 + 32*h**2 - 4 - 36*h**g.\nAnswer: 2*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -4\/7, 2\/5, -2\/15?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 + -3.9. Let v = q + 5. What is the third biggest value in -0.3, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 4:52 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2420\/13 - 186. Which is the biggest value? (a) p (b) 14 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*4\/(16\/6). Suppose 0 = -5*l + 2*l - 27. Let x(s) = s + 8. Let i be x(l). What is the nearest to 0 in -0.5, m, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -237*w - 54214 + 65590 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (9 - -12) - (-1 + 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d)**18\/(d**(-2)*d**(-2\/21)\/d) assuming d is positive.\nAnswer: d**(-313\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144332 (base 5) to base 3.\nAnswer: 22112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.81*-3\nAnswer: 5.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212, 827, 1846, 3269?\nAnswer: 5096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-16)\/(((w*w**(-6)*w)\/w*w*w*w)\/w*w)*(w*w*w**5)**(7\/5) assuming w is positive.\nAnswer: w**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14888, -14826, -14764, -14702, -14640, -14578?\n\"Answer: 62*z - 14950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -60. Solve v*n - 5*d = 2, -n - 5*d - 15 = -1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, j: 4, a: 2}. Give prob of sequence aa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.049*318.\nAnswer: -15.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0*3\/(-9))\/(-2). Let n = -2 + 1.5. Which is the biggest value? (a) j (b) 1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609138503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 100 = 5*h - 3*f, -h = 5*f - 2. What is the remainder when 2 - (2\/5 + 1986\/(-15)) is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1. Let r(x) = x + 7. Suppose 0 = 2*p - 98*p - 180*p - 1380. What is p*l(t) - r(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17109\/2065 - -1\/2065. Find the common denominator of r and 31\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 13208676?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 27588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-1) - (0 + -13)) + -8. Let q be (-6)\/18 - (-464)\/6. Calculate the greatest common factor of q and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -1)*-4 - (24\/(14 - 6) + -12). Let q(v) = 12*v**2 + 2. Let o(y) be the first derivative of -13*y**3\/3 - 3*y - 1. Give k*q(j) - 2*o(j).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 39*i - 3*i - 17*i - 3 - 3*i - 2*i. Let j(q) = 42*q - 8. What is -8*h(m) + 3*j(m)?\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115073 divided by -166.\nAnswer: 115073\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - f - 9 = 0, 12*z - 5*f = 223 - 156 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -93 + 9. What is the highest common factor of 246 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206957*l + 206574*l - 414170*l + 2.\nAnswer: -639*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 40*y - 3. Let b be l(0). Is ((-8304)\/(-36))\/(b\/(-18)) a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 9 = 85. Solve 0 = -7*y + k + 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175504, -175494, -175478, -175456, -175428, -175394, -175354?\nAnswer: -175308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*l**4 - 3*l**3 - 159*l**2 wrt l?\nAnswer: -216*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s - 4. Let u = -4 + 10. Let z(a) be the first derivative of 5*a**2\/2 - 4*a - 1. Let w(f) = u*t(f) - 5*z(f). What is w(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from kkkkkokkokkoko?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 5*i - 24 = 0. What is the remainder when 2 is divided by (8\/(-6))\/((-8)\/i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/4)\/(3\/(48 + 6)). Calculate the highest common divisor of l and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 504.2546g?\nAnswer: 504254.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 41*g + 1684. Let h be v(-41). Let q be (12\/10)\/(1\/(-5)). Let p = q - -7. Solve -1 = -i - 4*j + h*j, i - j = p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 14*h**2 - 13*h + 16. Suppose c - 64 = 5*k, 0 = 2*k + 13*c - 18*c + 21. Give n(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**3 - 186*g**2 - 5*g - 5. Let a(i) = -5*i**3 + 279*i**2 + 8*i + 8. Give -5*a(c) - 8*q(c).\nAnswer: c**3 + 93*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 241352244?\nAnswer: -241352240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81424 is divided by 2102?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3872 in 5, 0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/9 + ((-1312)\/(-24) - 6). What is the highest common divisor of 49 and s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 21*j - 3. Let f(q) = 27*q - 5. Determine -5*f(k) + 8*g(k).\nAnswer: 33*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/6*7*10\/(-25). Suppose 4*q - 190 = 2*o, -q + 5*o = 4*q - 230. Calculate the greatest common factor of h and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 4.5, 2 in increasing order.\nAnswer: 2\/9, 2, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 - 18*p**2 + 7*p + 142. Is j(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1 = 2*t - 1, -4*t = 5*u + 5. Let v be -5 + -3*(t - 1). Let w(f) = -11*f - 6. What is the tens digit of w(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b + 2 - b + 1 - b - b**2. Let c(z) = -z**2 + 6*z + 10. Let s be c(7). Calculate x(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, c: 1, e: 14}. What is prob of sequence cedd?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 2*m. Let x(f) = 2*f**2 + 97*f + 90. Suppose 36*w + 3 = -r + 37*w, 0 = 5*r - 3*w + 7. Let k(i) = r*x(i) + 5*u(i). Factor k(l).\nAnswer: -3*(l - 30)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 8 = -5*k + 3*k, -2*k + o = -7. Let v(d) = d. Let n be v(k). Let h(m) = n - 6 - 3*m - 4 + 6. Let i(j) = -j. Give h(i(f)).\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 26 = -15*q. Suppose -r = -3*g + 7, -2*r = -0*r - 10. Suppose -q*h = g*y - 670, -h + y = 4*h - 1686. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 265*o**2 - 79180660*o - 4481925.\nAnswer: 5*(o - 298795)*(53*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -q + 54. Let a be 20\/(-170) - 24898\/q. Let w = a - -292\/3. What is the common denominator of w and 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 34 = 2*o, -3*o - 37 = -5*o - 5*r. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2926*w + 5109*w - 2 + 2)*(-1 + w + 1).\nAnswer: 2183*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r - 22. Let y = -5 - r. Suppose 0 = h - y*h - 350000. Round h to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(40)\/sqrt(4)))\/(sqrt(4) - (sqrt(4) - (1*sqrt(400) + sqrt(4)))) - -4*((sqrt(40)\/sqrt(4))\/sqrt(5) - 4*-2*sqrt(2)).\nAnswer: 397*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1324 and 6620?\nAnswer: 6620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 - 20*m + 12. Let s(o) = -o**2 - 6. Let w(q) = -j(q) - 2*s(q). Determine v so that w(v) = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13295 - -20100. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/400 and 117\/670750.\nAnswer: 5366000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/486*((-12)\/(-20))\/((-7)\/35).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*x, -21 = -4*d + x - 4. Suppose 16*m - d*z = 17*m - 27, 3*m = 2*z + 123. Let l = m + -36. Solve 15 = l*g - 6*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 96051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 b, and 1 o when three letters picked without replacement from nnonnpggbp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-14))\/(((-84)\/(-24))\/(294\/24))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129031208*t = -129031233*t + 280 + 945 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 - 3*a**2 - 2*a. Calculate the least common multiple of 32\/(0 - -2) - 4 and v(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from {a: 3, j: 1, s: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**5 + 0*y**5 - 3*y**5)*(0 + 6 - 4)*(2 + 12 + 1) - 2*y**5 - 2*y**5 + 2*y**5.\nAnswer: -92*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35306 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 44 = 716. Let r = 117 - z. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*p**2 + 139*p**2 - 97*p**2.\nAnswer: -31*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*b - 26, -5*b + 10*b + 4*g = -10. Factor -2*j + 0*j**2 - j**b + 4*j - 3*j.\nAnswer: -j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31333120033 (base 4) in base 10?\nAnswer: -3667471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/635570 and 91\/39112.\nAnswer: 2542280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -3. Let l be a\/(-66) - (-825001)\/(-11). What is l rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c**2 - 9*c - 16. Let a = -46 + 43. Let b(d) = -12*d**2 + 19*d + 31. Let m(p) = a*b(p) - 5*w(p). Factor m(y).\nAnswer: (y - 13)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (260\/64)\/(20\/(-16))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 76*h - 718. Let n(y) = -38*y + 377. Let w(m) = -6*k(m) - 11*n(m). Give w(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or 183939\/137?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*x**4 + 215*x**2 - 6*x + 103272?\nAnswer: -8*x**3 + 430*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**3 + 23977*j**2 - 143692*j - 151. Calculate d(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.663623 months in centuries?\nAnswer: 0.0113863525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26088 is divided by 253?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r - 1665 = -306*r + 17*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*n + 39, 4*n - 5*a - 27 = 19. Suppose 47 = -2*p - b, -2*p = -4*b + n + 13. List the prime factors of (-472)\/(-14) + -1 - 6\/p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 11 + -11 + (2 - 3) + -14?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -955a00 (base 12) to base 7\nAnswer: -26000532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*q**2 - 3*q**3 - 62*q**2 + 3 + 0 in the form b + l*q + i*q**3 + n*q**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 <= -74869.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37267\/9 - 4147. Let c = 1\/1818 - -39085\/3636. Calculate the common denominator of c and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32184, 32188, 32202, 32232, 32284, 32364, 32478, 32632?\n\"Answer: y**3 - y**2 + 32184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -4, -2, 2, -331, -7 in increasing order.\nAnswer: -331, -7, -5, -4, -2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 68*i**2 - 72*i + 4884. What is r(68)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(3\/1)*22\/(-11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 294 and 154.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 20 - 7*p)*((-p + 5*p - 3*p)*(-3 - 2 + 3) - 3*p + 5*p - 3*p).\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -39\/23, 0.5, 9, 28?\nAnswer: -39\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 295 and 1123652345?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -323250450 - -4?\nAnswer: -323250442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 15. Suppose 5 = -2*c + l. Suppose 2*o - c*j + 16 = 0, 0 = 3*o + 3*j - 5*j + 8. Solve q + 5*h = 14, -2*h + 1 = 5*q - o*h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1054, 11 in descending order.\nAnswer: 11, -3, -1054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4705.217 years in centuries?\nAnswer: 47.05217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -591.4806441 rounded to the nearest ten?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1485\/36 + 1\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 414, 1325, 3116, 6081, 10514?\nAnswer: 16709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2369 + -1393. Let c = y - 683. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0*u**3 - 1\/84*u**4 + 1\/210*u**5 + 0 + 0*u - 37*u**2. Solve n(k) = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 15880 = 4*v, -3*h - 15880 = -4*v - 2*h. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 2\/11, 1, -3.2311, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.01, -0.07, 5, -0.4.\nAnswer: -0.4, -0.07, -0.01, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 3222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16921 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153*w + 387*w**2 - 38 - 434*w**2 - 153*w to f*w + x + j*w**2 and give x.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17453 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3216666 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.403 + 0.097. Let r be ((-2)\/(-16))\/((-12)\/16). What is the second biggest value in w, -1\/8, r?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -101101011?\nAnswer: -101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.33866 take away -4?\nAnswer: 5.33866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2. Let z = -35 + 34. Let u(d) = -26*d**2 - 17. Let y(v) = z*u(v) - 3*r(v). Find the first derivative of y(f) wrt f.\nAnswer: 58*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**12*(n*n**(2\/43)\/n)\/n)\/(n\/(n*n\/n**(-5\/2))*n\/(n*n**(5\/6))))**(-23) assuming n is positive.\nAnswer: n**(-45632\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 370142 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007278 to the power of 1\/2, to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*((-112)\/12)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 337*z + 337*z + 4*z**3 - 3*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 10 = -10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0702*-4.\nAnswer: -0.2808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 3:50 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -395.951 - -396. Sort 0.4, -7\/3, d, -2 in decreasing order.\nAnswer: 0.4, d, -2, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77391 = -44*w + 574063. What are the prime factors of w?\nAnswer: 2, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 + 10)*-1 - 12\/3. Let y(b) = 4*b + 8. Give y(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -79, -122, -167?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m + 31 = -5*g - 17*m, 0 = -3*g - 3*m - 24 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**5\/4 + 25*h**4\/12 - 35*h**3\/6 + 15*h**2\/2 + 17*h. Factor v(y).\nAnswer: -5*(y - 3)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 158746888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*h**2 - 10 + 0 + 4 + 2 + 6 to the form r*h**2 + v + x*h and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.138 times -883\nAnswer: 121.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -35. Solve -r = -3*p - p - 11, 10 = p + f*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159093 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**4\/4 + 2*z**3\/3 + z**2\/2 + 3*z + 12. Let p be t(0). Suppose p*c - 365 = -26. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*s - 5*c, 4*s + 6*c + 26 = 5*c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -3. Let j(s) be the second derivative of s**4\/12 - 2*s**3\/3 - 5*s**2\/2 + 10*s. Determine j(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -15 + 2*n + 7*n**2 - 5*n - 6*n**2 - 2. List the prime factors of y(12).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000018484276 rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 23938*z - 119713. Determine t(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 68\/20)*(-10)\/6. Let y = 3 - 2.8. What is the biggest value in y, 0.1, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004474979 rounded to four dps?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.9 (b) -1.3402 (c) -66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 30 (b) 0.4 (c) -164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7.9 from 12.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - d = 3*i - 22, 2*d = -5*i + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -228239*g - 228150. What is t(-1)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -2*c + 8*u + 2, u = 3*c - 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 5*s**2 + 2*s - 6. Does 2 divide b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - u + 2. Suppose r + 3 = -t, -6*r + 2*r - 2*t = 6. Determine v(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 11:10 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 2 - (1 + -1). Suppose 0 = -g - 4*g + 15. Does 8 divide -3*(u - g\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/14))\/(o\/(o**(-19\/5)\/o*o*o)*o)*(o\/o**(5\/2))**(-6) assuming o is positive.\nAnswer: o**(369\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 48*w**2 - 60*w + 37*w**2 + 140 - 129*w**2 + 39*w**2 = 0.\nAnswer: -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(700) - (-1 + -2*sqrt(700)))**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 3*m - 5. Suppose -4*o - 10*c + 12 = -14*c, -3*o - c = 15. Give s(o).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1234 (base 5) to base 12\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15073 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3, 138890?\nAnswer: 138890","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2275884685?\nAnswer: 5, 31, 61, 240707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(-5\/7)*((g\/(g*g**(-9)\/g))\/g)\/(g*g*g**(7\/6)\/g))**(2\/101) assuming g is positive.\nAnswer: g**(41\/303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 401 + -216. Let z = 186 - g. Is z at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -219 * 1.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175668, 351334, 527000, 702666, 878332?\nAnswer: 1053998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*r + 26, -4*c - 2*r - 7 = -3. Let y be (-1)\/c - 102\/(-18). Let p be 1*22*12\/y. What is the greatest common factor of p and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 + 2 - (-6397 - -6443)?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 12*d**2 - d + 7. Let v be c(12). Suppose -15*z = 10*z - 7*z. Sort v, z, -8, -0.2 in decreasing order.\nAnswer: z, -0.2, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 4*b**2 - b + 1. What is u(-6)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**5 + 5132*o**4 + 288616*o**3 - 304032*o**2 - 587520*o = 0.\nAnswer: -1224, -60, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 820 and 7134?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-2*q + 0*q + q) + 0*q + 0*q - q + (q - 1 + 1)*(-1 - 3 + 2).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 3) to base 6.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1053458, 2108109, 3162774, 4217459, 5272170?\nAnswer: 6326913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 1350515 and -8.\nAnswer: 1350507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**7\/210 - 43*r**6\/240 - 11*r**5\/6 + 121*r**4\/48 + 729*r**2. Factor u(w).\nAnswer: -w*(w + 11)**2*(2*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 2*l + 3*k, -4*k + 3 = 2*l - 53. What is the remainder when 88 is divided by l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((1 - 1) + 30 + -27).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2230444322 + 13?\nAnswer: -2230444304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 3*y**4 - 4*y**3 + 3*y**2 + 4*y**3 - 2*y**3 as c*y**3 + h*y**2 + i + w*y**4 + u*y and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 229 (base 15) to base 12\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a9 + 0?\nAnswer: -3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*q - 64, -6*t + 8 = -4*t + 5*q. Suppose 0 = -11*z + t*z - 9. Suppose 8 = 5*d + z*d. What is the least common multiple of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1675*u**2 + 18*u + 11. Let j(z) = -559*z**2 - 6*z - 4. Calculate 4*i(d) + 11*j(d).\nAnswer: 551*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 528 by 33.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20558762431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 5134839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amammam. What is prob of picking 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98875*u**4 - 3*u**3 - 347728*u**2?\nAnswer: -2373000*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**3\/6 - 3*g. Let p(u) be the first derivative of -3*u**2 - 1. Determine p(y(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860243835.\nAnswer: 3, 5, 11, 211, 24709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzvzzv. What is prob of sequence zzvv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.4 - 1.6. Let l = 10.00000054 + j. Round l to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -25) + (-6 - (-16 + 9)) + 11\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -o - 11. Calculate the remainder when -4*(-1)\/(-2)*-19 is divided by (-4)\/o + 37\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/144*-36)\/(1 + (-10)\/6)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72\/13 + 14\/13*n**2 - 174\/13*n = 0. What is n?\nAnswer: 3\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30613\/2 - 14911. Let k = -394 + z. Is k < 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 8*x = -28, 2*f - 5*x - 4 + 19 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 0. Let u be (276\/10)\/((-4)\/(-10)). Suppose -h*b + u = -b. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 19*z - 18. Let b be g(11). Suppose 5*o = -b*o + 2540. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 32*x**3\/3 - 7*x**2\/2 + 6*x + 9. What are the prime factors of b(2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 2 + 3 + 1. What is the lowest common multiple of l(7) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.08 (b) 2 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 349.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.911622um in centimeters?\nAnswer: 0.0005911622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1954.01 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -198 + 199.17. Let p = u + -1.17011. Round p to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 5*m + 5*m + (-23*m - 86*m - 103*m)*(-2 + 2 - 1) as i + t*m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5542.43744 and -668.\nAnswer: -6210.43744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 41475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 116*r**2 + 87. Let j(n) = -n**2 - 1. Let h = -167 - -168. Let d(i) = h*m(i) + 87*j(i). Let a(k) = -k**2. Determine a(d(p)).\nAnswer: -841*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70794 by -81.\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2732 - -2731.9. Put 1, -29, 4, n, 1\/7 in ascending order.\nAnswer: -29, n, 1\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -3*j**4\/4 + 2*j**3 + 9*j**2\/2 - 18. Determine h, given that w(h) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z + z - 4*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(9 + -12 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4732544 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 645*j.\nAnswer: 5*j*(j - 129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f + 3*d + 2 = -32*f, 0 = 4*d. Let y = -6.3 - -6. Let n = 0.5 + y. What is the third biggest value in 4, f, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6017 - 108343\/18. What is the common denominator of 73\/64 and z?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/9 - 122*c**2\/9 - 40*c\/3 = 0. Calculate c.\nAnswer: -60, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + x**2 + 7*x + 6. Calculate the remainder when 153 is divided by v(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.118 + -1.118. What is the fourth smallest value in -0.2, -0.02, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a + 4. Let l be r(-3). Let x = l - -18. Determine u, given that -11*u**5 - 4*u - 4*u**4 - 8*u**5 + 16*u**3 - 8*u**2 + x*u**5 + 12*u**4 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3157725 (base 9) to base 13\nAnswer: -47310b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/210*5*(-385)\/(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/2)*t)**(2\/109)\/(t**(-1\/4))**(-31) assuming t is positive.\nAnswer: t**(-3359\/436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -4 + 13\/1. Let r(h) = -4*h - 56. Let s be r(-38). Calculate the greatest common divisor of s and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:11 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 17*f - 250 = 13*z - 26*z, 2*z - 3*f = -29 - 18 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from {n: 4, p: 1, o: 1, g: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -2\/3, 3, 3\/4, 4, -44?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -28\/2325 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 7 - 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147 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 -2 + (8 - 1) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92205957060650261 + 92205954989348765.99999906. Let k = 2071301428 + q. Let r = k - -67. Round r to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - o**3 - 5 + 5 + 2*o - 2*o**4 to the form k*o**3 + z*o**2 + q + n*o + c*o**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 16) to base 4.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -180, -311, -424, -477?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -113*i - 11. Let c be a(-6). Let w be (-2 - -4)*c\/2. Let s = w + -404. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**0\/t))**(-3\/5)*t**0*t*((t\/t**(-22))\/t*t)\/t assuming t is positive.\nAnswer: t**(106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**6\/165 + x**4\/66 - 5*x. Let r(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*j - 20*x + 14*x, -15*x + 14*x = 3*j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25601979?\nAnswer: 3, 13, 50497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -19. Suppose 2*c - 2*u = r, -2*c - 2*c + 5*u + 18 = 0. Suppose x + 30 = 5*h, -c*h = -2*x - 5 + 1. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwdm when four letters picked without replacement from {m: 2, d: 2, l: 1, j: 2, w: 1, z: 7}.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + 2*sqrt(1539) - (sqrt(1539) + 0 + sqrt(2299)*-2))**2.\nAnswer: -186*sqrt(19) + 18268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 128 - 85. Suppose 3*h + 6*h = 45. Sort a, 1, h in increasing order.\nAnswer: a, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**3 - 2\/3*h**4 + 0 - 3*h**2 - 7\/20*h**5 + 2*h. Let j(u) = 20*u**3 + 23*u**2 + 17*u + 17. Calculate 17*g(b) + 6*j(b).\nAnswer: b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140339 is divided by 5199?\nAnswer: 5165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2859020402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.01 (b) -0.3 (c) 1\/4 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u + 9*u - 9075. Let c = 1183 - u. Calculate the greatest common factor of c and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 7*y + 4 = 0. Let h(a) = -a**3 - 5*a**2 - 3*a + 2. What is h(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 + 89. Solve 2*m = -2*m - z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3 - 3*g - 2 + 1. Let b(t) = 8*t - 6. Give -4*b(r) - 11*w(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 104 + (-1)\/((-4)\/8). Suppose -5*z - 20 = 0, 3*z = 2*m - 0*m - k. Let x = m + 35. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13 - -0.07. Which is the nearest to -1? (a) j (b) 5\/6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-9))\/2*9. Suppose v - 5 = 3*s, -2*v + 2*s = -v - 4. Suppose 0 = 25*n - v*n - 506. Solve -t = 4*j - n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**3 - 4*w**2 - 4*w. Let n(l) = 3*l**3 + 3*l**2 + 3*l. Let b = 11 + -23. Let t = b + 16. Suppose -t*d - 18 + 2 = 0. What is d*n(a) - 3*y(a)?\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9*i + 3. Let f(z) = -8*z + 2. Let p(h) = -6*c(h) + 7*f(h). Let w be p(-5). Find the second derivative of 3*a - 3*a**4 - a + w*a**4 + 0*a wrt a.\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 3. Let c(d) = d**3 + 10*d + 16. Determine 2*c(m) - 11*j(m).\nAnswer: 2*m**3 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 311973 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**4\/30 + 4*n**3 + 180*n**2 + 2*n - 7. Suppose w(m) = 0. What is m?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -27 (c) 0.5 (d) -3 (e) 17\/555 (f) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -8)*(-1)\/2. Suppose 21 = -d*o + 81. What is the derivative of -50 + 74 + o*u**3 + 7*u**2 - 7*u**2 wrt u?\nAnswer: 90*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 6, w: 3, i: 1, o: 6}. Give prob of sequence ou.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(a*a\/(a\/(a\/(a**(-2\/7)\/a*a)))))\/a)\/(a\/((a\/(a\/(a\/a**(-2\/3)*a)))\/a))*((a*a**1\/a)\/a*a)**(-22))\/((a**(-2\/5)\/a)\/a**7)**(-8) assuming a is positive.\nAnswer: a**(-9431\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2456000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3095238814.\nAnswer: 2, 19, 43, 1894271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11131012 (base 5) to base 16\nAnswer: -18242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.198 in -5, -2\/15, 0.14, 6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2498 is divided by 827.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.17 - -0.17. Let q be -4 + 1*(3 + -2). Let t(n) = n - 2. Let o be t(2). Which is the nearest to o? (a) q (b) s (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*112\/96)\/((-14)\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**5\/30 - 2*d**2. Suppose -5*o = -0*o - 10. Let g(y) = -2*y**2 + 4*y**o - 3*y**2. What is g(z(a))?\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 30, 14, -12 in descending order.\nAnswer: 30, 14, 5, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 20 = -4. Let b = 25\/4 + m. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -417*g**4 - 3382 - 555*g**4 + 3386 - 501*g**4 + 3*g - 3*g - 2*g**4 + (-g**4 + 2*g**4 - 3*g**4)*(1 - 3 + 1) + g**4 + 3*g - 3*g.\nAnswer: -1472*g**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let w(z) be the third derivative of -3*z**5\/20 + 8*z**2. What is g(w(r))?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -23*j**3 - j**2 + 6*j + 8. Let y(b) = -30*b + 111*b - 45*b - 35*b + 1. Give f(r) - 6*y(r).\nAnswer: -23*r**3 - r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 5. Let w be ((-88)\/(-220))\/(2\/15). Give q(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -41 and -580134391.\nAnswer: -580134432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*r + 21. Suppose -3*c + 187 = -2*v - 3*v, 0 = -r*c - v + 265. Let a = c - 20. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or -28?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by (-7725)\/(-125) + (-2)\/20*-2?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 + 0 + 0 + (0*j - 4*j + 2*j)*(-j**2 + 3 - 3) - j**3 - j**3 + 0*j**3 in the form x*j**2 + p + q*j + w*j**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 9:27 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 + 175. Suppose -t = t - k. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34398+-4\nAnswer: -34402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*o + 107*o + 64*o + 4005 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 19*k**2 - 5*k + 3. What is the units digit of s(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76461*c - 25480*c - 25482*c - 25487*c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-15)\/10 + (-535)\/(-160) and ((-19)\/(-18))\/(2\/14).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/14)\/(39\/(-546)*6\/10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3574182*d**3 + 7015998*d?\nAnswer: -21445092*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 93. What is the second derivative of -4*m**2 + p + 4*m - 44 wrt m?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**3 - 4*c**3 + 3*c**3 + 2*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)*z**(1\/11))**(-3\/2)\/((z**(1\/2)*z\/z**(2\/17))\/(z*z*z**(1\/2)\/z*z*z*z**(-3\/8))) assuming z is positive.\nAnswer: z**(3899\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j + 89. Let r be a(-12). Suppose -b - 6 + r = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 111\/7 + (-16)\/(-112). Suppose 3*d = 5*o - 2*d, f = 3*o + d. Solve 0*k = o*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(54\/41880)*-6. What is x rounded to the nearest one hundred?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 1:50 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*b - 3*q, 3*q - 1 = -b + 14. Suppose 2*o - b*o = 0, -8800 = -a - 4*o. What is a rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2 = -5*n + 3*c, -n = 2*c - 8. Let p be n\/(-24) + (-19)\/(-6). What is the second derivative of -p*s + s + s**2 + s wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 g when three letters picked without replacement from {n: 5, g: 7}.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-11445)*2079\/(-1188)?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42.3648 - 42.4. What is r rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 h when three letters picked without replacement from {y: 8, x: 3, i: 1, h: 3, t: 5}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*t**2 - 2 + 75*t - 75*t.\nAnswer: -179*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**4 - 186*a**3 + 6*a**2 + 6975. Let c(d) = -2*d**4 + 370*d**3 - 15*d**2 - d - 13948. Let t(m) = -2*c(m) - 5*w(m). Differentiate t(z) wrt z.\nAnswer: -24*z**3 + 570*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, 6, 34, 84, 162, 274, 426?\n\"Answer: h**3 + 2*h**2 - h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**5\/20 - 2*w**2. Let m = -10 - -14. Let k(g) = g - m - 2*g + 4. Determine k(v(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42082, -145252, -317194, -557902, -867370?\nAnswer: -1245592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1, -7, -1, 7\/5, -5, 9, -1\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1645282 and 1.\nAnswer: -1645282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 305033577?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j + 58 = -27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1116 and 15948.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - -48 - (-456 - -534)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3215 = 3*a + 2*a. Suppose 0 = v - 4*q - a, -3*v - q = 3*q - 1961. Suppose g - v = -2*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -993, -3901, -8727, -15471, -24133?\nAnswer: -34713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -5*x - 4. Let f = x + 21. Suppose -18*q**5 - 20*q**f - 4*q**4 + 22*q**5 - 15*q**2 + 3*q**2 = 0. Calculate q.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 936\/(-117) - (1 - 13). Solve -a*i + 2*r + 12 = 0, 2*i + 2*r = -1 + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2027781747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cco. Give prob of sequence coc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2*-1 + 1. Let t be 0 + c*51\/(-9). Let n = t - 71\/12. What is the smallest value in 1, 1\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*4)\/2*31\/(-93) - 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (2 + -4 + -1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-195) - (-3 + 172\/(-5))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13624 - -21.942.\nAnswer: -13602.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - l + 12. Let p be x(-4). Which is the third biggest value? (a) p (b) 0.5 (c) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -7\nAnswer: 31\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u + 187 = 34*u. Solve -3*j + 4*t - 1 = 0, -2*j + 3*t + 9 - u = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383 + 739 = -22*l. Suppose -109 = 2*o + c + 16, -3*o = 3*c + 183. Let a = l - o. Solve 0 = -4*d + 7 + a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -6. Let h(r) = 30*r - 3. Is h(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3117346*c**3 - 4687544.\nAnswer: 9352038*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccxx. Give prob of picking 1 c and 2 x.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.152623 + 769.117377. Round f to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 927530 by 92753.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3497 + -3373. Calculate the remainder when t is divided by 118.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*(2 + sqrt(48))*-1)**2.\nAnswer: -5616 - 1728*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10 and -56471010.67?\nAnswer: 56471020.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015635 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.12, -372, 0.3 in decreasing order.\nAnswer: 0.3, -1.12, -372","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9*f + 42. Let j be h(-8). Suppose -10*u = -j - 16. Calculate the remainder when 18 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222 and 821?\nAnswer: 182262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 5*f**2 + f**2 - f**2 + 2635 - 2635 - 87189*f + 87182*f.\nAnswer: 2*f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 3*a + 4. Let d be v(-4). Suppose 5*u + 3*s - 85 = d*s, 4*u - 77 = -5*s. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from ooooooooohooooo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -757\/435 + -40\/87. What is the fourth smallest value in -2\/9, b, -0.3, -37?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 + 21. Calculate the highest common factor of c and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 9*m + 15. What are the prime factors of (114\/18 + m)*(-306)\/(-4)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188608 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1572 divided by 12\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -0.8. Let a = -3.8 - -4. Put y, 1\/2, a in increasing order.\nAnswer: y, a, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13860063, -13860063, -13860065, -13860069?\n\"Answer: -b**2 + 3*b - 13860065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13385267 is divided by 6692626?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 99 - 99 + 20*h**2 in the form d*h + t + c*h**2 and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 22*d**2 + 6*d + 6. Let h be r(-1). Suppose -h*m + 38*m - 48 = 0. Let n = 10 + -7. Calculate the greatest common divisor of m and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 58 + 2*h**3 + 0*h + 0*h.\nAnswer: 2*h**3 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1738 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 29*a + 57*a + 757*a**3 - 1 - 758*a**3 - 29*a. Let w(f) = -3*f**3 + 7*f**2 - 5*f - 3. What is w(t) - 5*x(t)?\nAnswer: 2*t**3 + 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c + 10*c - 19*c - 9*c**2 + 8*c**2. Let i(b) = 115*b. What is i(j(d))?\nAnswer: -115*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73428 is divided by 661?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 12 - ((-14 - -9) + 12)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.832806 nanometers?\nAnswer: 0.0000002832806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, m: 3}. Give prob of picking 4 r.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3628645.\nAnswer: 5, 53, 13693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (2 - 8) - (-32 + 83 + -14)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4112 is divided by 4088?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.008 - 0.192. Let k be 3\/(-6) + 8\/6. Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1068*j - 13390 = -1583*j for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14286, 5, 23, -31, 4, 1 in decreasing order.\nAnswer: 14286, 23, 5, 4, 1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4419106317 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(102))\/(sqrt(150)*-3 + sqrt(150)))**2.\nAnswer: 272\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orxcrxoxpxooxxopoaxx. What is prob of sequence cx?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*(-28)\/1638)\/(24\/52)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4167.26 rounded to the nearest 10?\nAnswer: -4170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7906342.\nAnswer: 2, 23, 171877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15\/71, -0.05, 3, -64, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*70\/(-42)*(-70)\/14.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16901737 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5271215940747.428 - -5270198515796.4280101. Let i = b - -1017425003. Let v = -52 + i. Round v to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1521283.2 to the nearest 10000.\nAnswer: -1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - db?\nAnswer: -d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. What is the derivative of -a**2 + a**k - 1 + 6*a**4 - 3*a**4 wrt a?\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*-0.33\nAnswer: 0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 633.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p. Let s be (-6)\/90*(1 + 14\/(-4)). Let j(q) be the second derivative of 0*q**2 - s*q**3 - 3*q + 0. Determine j(l(y)).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2607263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l - l**3 + l)*(1010*l + 1307*l + 5337*l) in the form t + v*l**3 + k*l**2 + h*l**4 + w*l and give h.\nAnswer: -7654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4*u + 2 = 0, 10*v = 7*v - 2*u + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-144)\/108*(-9)\/2. Solve 0 = -5*z - n*a + 2*a + 9, 4*z = a + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 34*k**4 - 166*k**3 - 156*k**2 + 664*k + 80 = 0. What is k?\nAnswer: -2, -2\/17, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -160790 (base 14) to base 7.\nAnswer: -6354240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24078 + -10276.75922. Let i = 10286.0124 + j. Let k = i - 9. What is k rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 67, -2\/9, 2\/3, 20, 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 10 = 4*j - 6, 19 = 4*j - 3*q. Solve 3*d - 2 = j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*k + 32928 = 67661 + 94671. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1226 - 613 + 23*r**3 - 612 - 2*r**2 to d*r + p*r**2 + z*r**3 + n and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1098, 1097, 1096, 1095, 1094, 1093?\n\"Answer: -c + 1099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 2*l - 2. Let o be 1\/(33\/(-12) + 3). Let n(v) = 7*v - 4*v**2 - 9*v + v**3 + 7*v - v**2. Let r be n(o). Determine u(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4091*0.95.\nAnswer: 3886.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 29 = -38*b. Solve 0*p = b*p, 0 = 2*x + p + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42536?\nAnswer: 2, 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9702 is divided by 4430.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5402*g**3 - 4848*g**3 + 10246*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {r: 1, v: 1, o: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103233129?\nAnswer: 3, 17, 2024179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -5, -193, 65 in ascending order.\nAnswer: -193, -5, 52, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(33\/6)\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4697\/8787 + 1\/17574. Let j = -30\/29 - r. Let o = 0 + 0.3. Sort o, -1\/3, j, 2\/3 in increasing order.\nAnswer: j, -1\/3, o, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 14*y - 11. Let v be c(-13). Suppose -x = -44 - v. Calculate the greatest common divisor of x and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1622628721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 787621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3953736895?\nAnswer: 5, 29, 397, 68683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*r**3 + 2*d**2*r**2 - 2556324*d**2 - 9*d*r**2 + 2*r**3 - 74408*r**2 wrt d.\nAnswer: -4*r**3 + 4*r**2 - 5112648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -552467.924 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 966890 and 341.\nAnswer: 10635790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15\/2, -2\/13, -136?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -86c + 0?\nAnswer: -86c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45*(-94)\/(-282)*(-51)\/9?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -327617\/10 (b) -1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyzzyyyyyyyzyyyyyz. Give prob of sequence yyzy.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.445 to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.794207 nanoseconds to days.\nAnswer: 0.0000000000009235440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 2*a + a)*(0*a + 3*a - 2*a) + 81*a**2 - 156*a**2 - 89*a**2 - a**2 + 2*a**2 - 3*a**2 - a**2 + 11*a**2 + 5*a**2 as b*a + x*a**2 + r and give x.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 1. What is the units digit of k(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/24 + (-10)\/(-8). Suppose 0*n - u*n - 5*m = -128, -n + 46 = -2*m. Calculate the highest common factor of n and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13888 and 684852?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 550 - 3862\/7. Let g = 943.6 + -944. What is the second biggest value in i, g, 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -115 + 3?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q + 2*q)*(-4*q + 3*q + 9*q).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 20*l - 42. Let d be s(-22). What are the prime factors of 1353*d\/24*4?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**2 - g**2 - 3*g**2 + (3*g - 3*g - 3*g)*(7*g - 3*g + 0*g))*(353*g - 21 + 354*g - 700*g).\nAnswer: -70*g**3 + 210*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/3 - 3560326*w + 10680977\/3 = 0. What is w?\nAnswer: 1, 10680977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/((-1)\/6). Suppose 3*f - 28 = -f + 4*u, 5*u - 5 = -i*f. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*l = 44, -28 = -y - l - 3*l. Let r = 807 - 803. Solve -40 = -r*d + y*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 2256194?\nAnswer: -2\/1128097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1989 + -1340. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**4 + 242646*h*m + 597620*m wrt h.\nAnswer: -4*h**3 + 242646*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7030 and -0.3.\nAnswer: 7029.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -30*g**2 + 47*g - 210. Calculate k(5).\nAnswer: -725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2597*p - 2. Let j(m) = -30255054*m + 23301. What is -23301*b(w) - 2*j(w)?\nAnswer: -2589*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/28106360 and -81\/2303800.\nAnswer: 140531800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84892952?\nAnswer: 2, 10611619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(70)\/sqrt(360) + sqrt(7)).\nAnswer: -7*sqrt(7)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 7*r**2 + 5*r - 2. Let p be y(-6). Solve -f = -6*f - d, -p*f = -3*d + 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6*q + 2*q = 20, 4*h - 13 = -3*q. Which is the second smallest value? (a) h (b) -3\/7 (c) -5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m + 11. Let z(r) = -30*r + 48. Let s(h) = -26*g(h) + 6*z(h). Let q(f) = -2*f + 43. Let l be q(22). Give s(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*p + 5 + 3 - 8.\nAnswer: 126*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 253\/62217 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2848*w - 5912*w + 3076*w.\nAnswer: 12*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75.849l?\nAnswer: 75849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 28. Suppose 5*s = -3*q - 8 - 5, -q + 9 = -s. Suppose -2*j = -5*k - 39, 7*j + q*k = 4*j + 24. What is the greatest common factor of i and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174)\/609 + (-1 - (-149)\/7) - (695 + -698)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2767.9 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l + 89. Let r be x(-17). Suppose 3*a - r*b = 1866, -4*a + 0*b + 2501 = -b. List the prime factors of a.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1352.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) 1\/2 (b) 2 (c) 3 (d) 1\/5 (e) 62\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - -1. Suppose 4*k - 156 = -z + 31, -587 = -3*z + k. What is the highest common divisor of z and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - ((17 - 14) + -21).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u - 39 = 23*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 0.02 (c) -0.1 (d) -36 (e) -2\/19 (f) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 77 = -5*h, -3*j - 2*j = -5. Let y = h + 21. Suppose -24 = -y*t + 2*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2) - (-6)\/(-4). Let w be (p\/(1 + -4))\/(-1). What is the third derivative of 7*a**2 + a**6 + w*a**2 + a**2 wrt a?\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x + 4*x)*(0 + 4 - 5)*(2*x - x - 4*x)*(-1 + 4 - 5).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6*b**(4\/13)*((((b*b**3\/b)\/b)\/b*b)\/b)**(1\/13))**34 assuming b is positive.\nAnswer: b**(2822\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-31)\/2)\/((-4)\/8). Let l = s - 35. Let o be 20\/(-20)*l\/2. Solve -9 = -o*d - d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -44005.7 in decreasing order.\nAnswer: 1, -8, -44005.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 6*m + 16. Let u be v(8). Let z(x) = -x**3 - x**2 + 3. Let t be z(u). Is 6 a factor of 0\/(t + -1) + 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 481783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51260*c**2 + 179 - 367 + 188 - 51259*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 16*d - 8. Let j(h) = -2*h**2. Determine j(f(w)).\nAnswer: -512*w**2 + 512*w - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 0*t**5 - 19\/120*t**6 + 0*t**4 + 2*t**3 + 0 + 0*t - 10*t**2. What is the derivative of v(n) wrt n?\nAnswer: -57*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*g + 58, -x - 4*g + 22 = -g. What is the highest common factor of x and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*q + 1923 = -1893 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/14 and -65\/275892?\nAnswer: 1931244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 0*x)*(6 + 0 - 1)*(285 + 24*x - 285).\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 931, 1043, 1155, 1267?\n\"Answer: 112*t + 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 1 + 2 = -4*w, 0 = 5*r - 3*w - 24. Let h = 18 + -6. Suppose h = -4*a - 8, -30 = -r*p + 3*a. What is the third biggest value in p, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (0 + -5*(1 + sqrt(2299)) + sqrt(2299))*6)**2.\nAnswer: -6626900 - 89760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s. Let z(b) = -663*b**2 - 6*b. Give -3*h(j) + z(j).\nAnswer: -663*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.32714 micrograms in grams?\nAnswer: 0.00007332714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 5*j - 30, g - 5*g + 2*j + 32 = 0. Let s = g + -6. Let y = s - -3. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -907 divided by 3223\nAnswer: -907\/3223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1022022010102001?\nAnswer: -1022022010102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.042037165 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 924 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 + 37*x + 14. Let a be l(-12). Let u be 1\/3*1*9. Suppose z - g - 4 = g, g + a = -u*z. Solve z = 2*j - 0 + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 304 + 2?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70710*z**2 - 78369*z**2 + 60767*z**2 - 88818*z**2.\nAnswer: -177130*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154746.\nAnswer: 2, 3, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxvv when four letters picked without replacement from vvvvxvvvvvvxvxxvvvv?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -216747*p**4*v**3 - p**2*v**3 - 3*p**2*v - 40*p*v**3 - 11*v wrt p.\nAnswer: -5201928*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 35*n + 2*n**2 + 41*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4662.09+-0.26\nAnswer: -4662.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*f**5 - 233*f**4 - 668*f**3 + 668*f**2 + 240*f = 0. Calculate f.\nAnswer: -30, -4, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4190 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 448\/9. Which is the closest to s? (a) 2 (b) -3\/4 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o + 12 = -24*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 0. Let v(j) be the third derivative of j**4\/12 + j**3\/3 - j**2. Let f be v(-3). Which is the second biggest value? (a) n (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 12*f**2 - f - 10. Let g = 32 + -29. Suppose g*r + 15 = -21. Let k be i(r). Which is smaller: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**5\/6 + 532*n**4\/3 + 13609*n**3\/6 - 2515429*n**2\/3 + 4950128*n - 7379904 = 0.\nAnswer: -136, 3, 266\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1400, -2802, -4204?\nAnswer: -5606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**2 - 17*i + 15*i - i**2 + 0*i**2 + 5. Let j be y(4). What is the greatest common divisor of 18 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-5) + (-12)\/30. Solve 7*w - f = 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.156*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 37*x**2 - 316*x - 121. Calculate the remainder when l(23) is divided by 40\/3 - (-2)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 20 = -l, 5 = 5*l - l - x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -16*p. Let o(n) = -323 - 308 + 631 + n. What is 3*i(z) + 24*o(z)?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + -2 - -4)\/(-3). Solve a = 4*m + 2*n + 12, -5 = m + 3*n + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (sqrt(1584) + 0 + sqrt(1584) + sqrt(1584))) + -5.\nAnswer: -24*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 - 419832*m**3 + 21418368*m**2 - 364151560*m + 2063636868.\nAnswer: -4*(m - 17)**3*(m + 105009)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -0.7 (c) 13 (d) 2.8 (e) 71 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**5\/20 - g**4\/6 + 2*g. Let i be 51\/(-15) - 8\/(-20). Let k(p) = -2*p**3 + 3*p**2. Give i*k(q) - 5*j(q).\nAnswer: q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(2268) - (sqrt(2268) - sqrt(2268)*-2))*-1 - sqrt(2268) - sqrt(2268)) + sqrt(2268)))\/(sqrt(81)\/(sqrt(63)\/sqrt(7)) + sqrt(9)*-4*-5).\nAnswer: -2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 572914 - -2291100?\nAnswer: 2864014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9717*a**2 - 9710*a**2 - 218 + 144*a**3 - 2*a + 19427*a**2 wrt a.\nAnswer: 864*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**8)\/(f**(-5\/4)*f))\/(f*f**(-13\/2)\/f*f**18))**(16\/7) assuming f is positive.\nAnswer: f**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*3090\/(-1648) + (-302)\/8?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 7*t - 49. Let d be m(5). Let s(q) = -q**3 + 13*q**2 - 24*q + 24. Let k be s(d). What is the highest common factor of 18 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 888 divide 452620373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -31, 1\/5, 0.1 in ascending order.\nAnswer: -31, -1\/3, 0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 975525 and 150.\nAnswer: 1951050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a10d (base 14) to base 3.\nAnswer: 21021000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 13*d + 181. What is the remainder when 162 is divided by h(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -3) + -8 + (-1 - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p + 1. Let l(c) = 15*c - 54. Let d(i) = l(i) - 9*o(i). What is the first derivative of d(q) wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9414271 + -2?\nAnswer: -9414273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/8, -3, 10, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 12:14 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33625775 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, l: 1, d: 3, u: 4, p: 1, i: 4}. Give prob of sequence dilg.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -8 + 17 + 2 + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-1*4) - (-36)\/378*45402\/(-92)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = i - 7, -20 = -4*i + 3*b + b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 295830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 16*i + 165. Let m be j(-10). Solve m = -3*q - g + 6, 5*g = -5*q + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 373, 1452, 3217, 5668?\n\"Answer: 343*w**2 + 50*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 24 = -8*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197401467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -3*b + 66, 362*q + 362*q - 717*q - 15 = -2*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 5 - 4 + 0 + 1. Let w be u(0). Suppose -w*b + q = -15395, -4*q - q + 38525 = 5*b. What is b rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkzw when four letters picked without replacement from {w: 1, r: 1, v: 6, z: 4, k: 2, c: 1}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uywy. What is prob of sequence yu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19858076+20\nAnswer: 19858096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001714649 rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5\/6 + 17*n**4 + 2489*n**3\/6 - 3070*n**2\/3 - 3224*n - 5408\/3 = 0. Calculate n.\nAnswer: -52, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-636)\/(-60) + 1602\/(-178) + 292\/5?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/465 and 29\/1506.\nAnswer: 233430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**4\/6 - 2*j**3\/3 - j**2 - j. Let p be q(5). Suppose -4*b - 2*m = -b - 28, b - p = 4*m. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v + 91. Let t be a(16). Let g = -165947\/22372 - -343\/47. Let c = g - -1\/476. What is the nearest to 1 in t, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 2*x - 24 = 0, 3*s - 20*x - 1 = -19*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/10)\/(((-5)\/16)\/(13\/(-156))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 24. Let t = -9 + 8.3. Let w = t + -2.3. What is the biggest value in d, w, -8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 1277*h**4\/4 + h**3\/3 + 3761*h - 2024. What is the first derivative of l(f) wrt f?\nAnswer: 3831*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 11 = -5*g - 0, 13 = -2*c - 5*g. Let p(a) = -a + 1. Let s(q) be the first derivative of 4*q**2 - 7*q + 72. Determine c*s(m) + 6*p(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -798 - 10. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228353453 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 88272720.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*i, -15 - 2 = y + 3*i. Let k = -15 - y. Let w = k - -18. What is the nearest to 0.1 in -2, -2\/9, w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 618, 2600, 5902, 10524, 16466?\nAnswer: 23728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -4 - (13 - 11 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2233 - 2.2233. Which is the nearest to j? (a) 2\/37 (b) -2\/11 (c) 0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -69254 in ascending order.\nAnswer: -69254, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 856388475083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 10*j**2 - 25*j + 1. Calculate r(-13).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9*q - 124. Let s be a(-14). Let t(v) = -5*v**2 - 9*v**2 + 6*v + 5*v**2 + 8*v**s. Determine t(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((b\/(b*b**(-3\/10)))\/b)\/b)\/b)\/b**(-4\/7))**6)**(-41) assuming b is positive.\nAnswer: b**(18327\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**5 + 10*u**2 - 10*u**2 - 3*u**3)*(0 - 1 - 2 - 1 + 0 + 0 + (2 - 5 + 5)*(-3 + 6 - 2) + 0 - 3 + 2).\nAnswer: -3*u**5 + 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36302*n - 36302*n - 74*n**2.\nAnswer: -74*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -405 + 767. Suppose 3*c + 10 = 3*r - s, -c - 4 = 0. Is r a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (14 - 14) + 1\/(1\/138)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((4 - 174\/12) + 11)\/(3\/(-8)). Which is the second smallest value? (a) -0.3 (b) r (c) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**5\/10 + u**4\/3 - 7*u**3 + 18*u**2 - 106*u. Factor v(z).\nAnswer: 2*(z - 3)*(z - 1)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 7:45 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9*r + 0*r**3 + 5 + r**3 - 12*r**2 + 5*r**2. Let o be l(5). Suppose -5*n - 4*t = -5, -3*n + t = -o*n - 20. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z - 31. Let c be t(15). Let b = c - 100. Let v be 6\/((-1 - -3)\/1). Solve -8 - b = v*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 6. Let h be b(8). Let q(j) = h*j + 2 - 3*j - j. Suppose -4*w = -6*w - 4. Calculate q(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148.87*-5\nAnswer: 744.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 989, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 795 and 54883302?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 2*q - 9*q)*(-2 + 1 - 1)*(-8*q**2 + 0*q**2 + 2*q**2) to the form j + v*q + u*q**2 + g*q**3 and give g.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**3\/3 + 320. Let o(m) = -174*m. Determine r(o(t)).\nAnswer: 30276*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - 1. Let s be h*((-15)\/(-9))\/(-5). Let y = s - -1. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020712754.\nAnswer: 2, 439, 1162543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 11723903\nAnswer: -11723904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464*g - 170007 - 930506 - 957327 = 0. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3 + -2 + 0)\/((-448)\/(-70)) and -89\/36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-736)\/(-80) - 8)\/((-1)\/(-20)). Solve w - 107*j = -112*j + s, 0 = 3*w + j - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1961445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2904*u + 8. Let r be t(-6). Suppose -o = 2*p + 4179 - 689, -r = 5*o + p. Is ((-21)\/(-63))\/((-2)\/o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 5*a - 220 = 0. Is a > -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*j + 1 - 4 + 3 - 77*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3 + sqrt(19) + 5)**2.\nAnswer: 16*sqrt(19) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9 + 8*w - 4*w**2 + 16 - 18 + w**3 - w**2. Calculate p(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 7:35 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 z when four letters picked without replacement from vzvavvazvzvaaza?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/(-12960)*6\/3?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28945905 - 364999.\nAnswer: 28580906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17*1 - (-80 - -84). Calculate the greatest common factor of 39 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -11*z**3\/3 + 16. Let r(d) = -15*d + 2*d**2 + 15*d. Calculate f(r(k)).\nAnswer: -44*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 854604 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 r, and 1 j when three letters picked without replacement from {f: 3, r: 2, j: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 508116?\nAnswer: -508118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 219*g - 53220. Determine j(243).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0 (c) 0.5 (d) 2\/5 (e) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-6)*(-2 - -5). What is the third biggest value in l, -5, 3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360525 is divided by 44989?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o**2 - 14. Let b(h) = -5*h**2 - 17. Let a(d) = -3*b(d) + 4*j(d). Let s(u) = -3*u**2 - 2. Determine -4*a(q) + 10*s(q).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**3 + 14*f + 13. Let z(s) = -15*s**3 + s**2 - 29*s - 26. Let o(i) = -13*l(i) - 6*z(i). What is the remainder when 103 is divided by o(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4723 a factor of 850081524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - s - 13, 9*s = -3*r + 14*s + 9. Let g be 89\/(-178)*r\/6. Sort 0.1, -4\/5, g in decreasing order.\nAnswer: 0.1, g, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33894457379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8795931?\nAnswer: 3, 977, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p + u - 237, -5*u + 285 = 5*p. What is the highest common factor of 90 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 305.28, -30, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5254 and 21386.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61488865 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -7\/6*v**3 + 1\/30*v**6 + 0 + 9*v + 3\/4*v**4 - 1\/4*v**5 + v**2. What is r in k(r) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 4*o + o)*(0*o - 4*o + 2*o)*(-17 - 14*o**2 + 17).\nAnswer: -28*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*f - 16, 3*w - f - 4 = w. Suppose 2 + 2 = l. Solve 0 = -l*j + w + 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 329\/60 + -27\/5. Let m(h) be the third derivative of 0*h + 1\/16*h**4 + 1\/120*h**5 - 1\/80*h**6 - 2*h**2 - c*h**3 + 0. Suppose m(f) = 0. Calculate f.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42)\/(-441) + 916\/(-1386))\/((-2)\/(-24)). Is -8 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 369290*k**2 - 1476920*k + 11816640.\nAnswer: -5*(k - 4)*(k + 8)*(k + 73854)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 0*z**4 + 4 - 1\/30*z**5 - 5*z**2 + 0*z**3 + 0*z. Let i(k) = 30*k. Determine l(i(n)).\nAnswer: -1800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*m = -r - 11, -5*m - 37 = 3*r. Let d = -10 - r. Let f(j) = 2*j - 153. Let t(z) = 5*z - 344. Let l(u) = -9*f(u) + 4*t(u). What is l(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 7*k + 4. Suppose -2*n + 29 = 3*i, -2*i + 46 = 3*n + 3*i. Let a be r(n). Solve 0 = 4*h - 3*h + a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-3674)\/(-143) - -12\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17648, 21401, 27660, 36425, 47696, 61473, 77756?\nAnswer: 96545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5, -4 = 4*c - 17*x + 13*x. Solve -b + 10 = -n, -n - c*b + 10 = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22787 (base 11) to base 10\nAnswer: 32886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100 (base 2) to base 16.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.9115529 and 0.3.\nAnswer: 1.2115529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/72*-6*64. Let h be (-5 + 2)*(-160)\/6. What is the greatest common divisor of j and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -263 + 522. What are the prime factors of m?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9524240*k**4 - 9*k**2 - 7*k - 156 wrt k?\nAnswer: 228581760*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(15\/(-30) + 99\/202). Let n = 280 + k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 8. Let p = 27 - 10. Let z = p + -16.5. Which is the nearest to 0? (a) s (b) 1\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 72 = -3*n, -5*z + 2*n = -2*n - 116. Let x = -57 + z. Let d = x + 37. What is the closest to d in 5, -3\/4, -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Suppose -5*p = -4*m + 62, -f*m - 3*m + 5*p = -80. Let a = 28 + 8. What is the greatest common divisor of m and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/59 - -329\/3186. Let r(t) be the second derivative of -11*t - a*t**4 - 4\/27*t**3 - 4\/9*t**2 + 0. Factor r(c).\nAnswer: -2*(c + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1415, 4, -0.31, 1, -6\/7, 3?\nAnswer: 1415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r\/(r\/((r*r**(-2\/29)*r)\/r)*r)))**19)**11)**(-18\/7) assuming r is positive.\nAnswer: r**(-225720\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h*(h**8*h)\/h*h))\/(h*h\/((h\/(h\/h**(2\/5)))\/h)*h*h)*(h**(-1\/4)\/h)**(-5\/11))**(-2\/31))**22 assuming h is positive.\nAnswer: h**(2647\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 2*p - 4. Let j be a(3). Let o(h) = -3*h**3 - h**2 - h + 1. Let n be o(j). What is the common denominator of 9\/16 and (-12)\/(-20)*2\/n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8*4\/(-8) + -27. Let z(k) = -32*k**3 + k**2 - 1. Let r be z(1). Which is smaller: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/27886 and 7\/114165284.\nAnswer: 114165284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 s when three letters picked without replacement from pmsmmmmwwmwmwmwww.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1718*y + 482007 - 629755 = 0 for y.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7871 - -7868. Let m(o) = o + 2. Let u(k) = 3*k + 4. Let x(r) = 6*r**2 - 1. Let z be x(1). Determine f*u(l) + z*m(l).\nAnswer: -4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 491?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 7 + 6)*(9*m**2 + 143*m - 143*m) in the form a*m + g + n*m**2 and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 47*o**2 + 32*o - 70. List the prime factors of c(-48).\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 7*v + 6. Let g be l(-7). Let z = g - 3. Suppose k + z*k = 52. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b**4 - 38*b**3 - 8*b**2 + 24*b = 0 for b.\nAnswer: -6, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 37*c**2. Let s(t) = -13*t**2. What is s(m(w))?\nAnswer: -17797*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 10:42 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12221 - -26701. What is r rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q. Let i(s) be the second derivative of 685*s**3\/3 - 4*s + 220. Determine i(x(w)).\nAnswer: -5480*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -47 - ((-15 - (-12 - -18)) + -6 + 25)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.0067 to 1 dp.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 greater than or equal to -0.032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 815613260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -17. Let u(p) = 3*p**2 + p + 1. Is u(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27982.2l to millilitres.\nAnswer: 27982200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9*o - 12*o**2 - o**3 - 4*o**2 - 873 + 910. Is j(-22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 970515?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -456, -5101, -17696, -42213, -82624, -142901, -227016?\nAnswer: -338941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -49\/3*g**3 - 43 + 0*g**2 + 0*g. Let s(d) = -2*d**2. Determine u(s(a)).\nAnswer: -196*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1066, -2071, -3748, -6091, -9094, -12751?\nAnswer: -17056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*m + 57, 3*m - 41 = -g + 10. Let j(t) = -t**3 + t**2 + 14. What is the remainder when g is divided by j(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/2)\/l**(-4)*(l**(-1))**(-14\/13)*(l**3*l**(-4))\/(l**0)**(-1\/12) assuming l is positive.\nAnswer: l**(67\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2120 - 2123. Let y be 1*(32\/(-4) - -3). Which is bigger: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27 in -1.69, -0.4, -48, -3\/4, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1479 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*x - x - 3*j, -5*j + 4 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 82 + -aba71?\nAnswer: -ab9de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 231671 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-2*25\/(14750\/(-59))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.7773 + -2827.\nAnswer: -2836.7773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -18015, -4, -10 in ascending order.\nAnswer: -18015, -10, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*q - 1 - 15, -3*c - 13 = -2*q. Solve -i + 0*o = 5*o + 4, q*o - 3 = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/507*(-18)\/(-20)*(2 - 0).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2097 - 2099 - 394*v + 4196.\nAnswer: -394*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/21 + (4 - -3). Let c(z) = -z**3 - z**2 + 7*z**2 + z**2 - z**2. Let q be c(n). Put q, -1, 5 in decreasing order.\nAnswer: 5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123545204 (base 6) in base 13?\nAnswer: -66b827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50025204 to the power of 1\/3, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-60)\/51)\/(-4))\/((-325)\/(-130))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, j: 6}. Give prob of sequence jgg.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 144.669654 and 0.05303.\nAnswer: 144.722684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4263?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-202)\/505 + (-12)\/(-5). Solve -5*a = -3*x + 20, -s*a - 26 + 18 = 5*x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1)*7\/42*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00214637823 to five dps.\nAnswer: 0.00215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675477161?\nAnswer: 675477161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -624734 and -0.0637.\nAnswer: -624734.0637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**5\/90 - 5*j**4\/108 - 2*j**3\/27 + j**2 + 3*j. Let o(c) be the first derivative of f(c). Let o(h) = 0. What is h?\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8687 + -8677. Solve -27 = h*o + 33 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 3. Let y be v(-2). Let z(f) = 3*f**3 - 2*f**3 + 3*f**3. Let j be z(y). Solve 4*c = j*l, 0 = -5*c + 2*l + 4 + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 8*q - 4*q + 10*q)*(-4 + 1 + 1).\nAnswer: 4*q - 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 598*i**2 - 10*i - 45. Let m(r) = -119*r**2 + 2*r + 8. Calculate 2*g(k) + 11*m(k).\nAnswer: -113*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(500) + 0)*-1 + -4 + -1)**2 + 4.\nAnswer: 100*sqrt(5) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.058 + 1.942. What is the fourth biggest value in -3\/8, -4, n, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t**3 + 12*t**3 - 22*t**3.\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*r = 3*r + 3, 3*r = -4*i - 3. Suppose i = 3*d - 0 - 9. Suppose 3*s = -2*x + 24, -3*s + x + d = -4*x. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 5*h - 5. Let u(x) = -x**2 - 3*x + 3. Let t(f) = -3*a(f) - 5*u(f). Let n(s) = -11*s. Give t(n(j)).\nAnswer: 242*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110294268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 17a232?\nAnswer: 17a22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**4\/5 - 447*y**3 + 11153*y**2\/5 - 6681*y\/5 - 4014 = 0?\nAnswer: -1, 3, 2230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -13. Solve -j + 5*l = -21, w*l = -j - 0*j - 19 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(152)\/sqrt(2).\nAnswer: 5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10001, 19515, 29029?\n\"Answer: 9514*s + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/15 - (12 + (4620\/(-50))\/7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31\/12, 0.5, -0.3, 1\/3 in increasing order.\nAnswer: -31\/12, -0.3, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 7\/2*(-192)\/(-56).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 0 - 5*i**2 - 3 + 2 + 2*i**3. Let j be x(3). Suppose 0 = o - 2*t - 18, -2*t - j = -3*o - 6*t. Calculate the smallest common multiple of o and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -17*q - 370. What is o(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8731*v + 1682 = -8789*v for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*o = 49*o - 16. Let l be 5205\/25 - o\/10. Let k = 432 - l. List the prime factors of k.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 11*l**3 - 1996*l**2 - 22*l. Let z(t) = 5*t**3 - 1013*t**2 - 10*t. Calculate 4*w(s) - 9*z(s).\nAnswer: -s**3 + 1133*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -221*a**7\/42 + 51*a**4\/4 - 2*a**3\/3 - 876*a. What is the third derivative of t(j) wrt j?\nAnswer: -13260*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 - 42 = -4*z. Let n be 1*-2 + 0 + 52. Suppose -4*m = -9*m + n. Calculate the highest common divisor of m and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46093, -184066, -414009, -735922?\nAnswer: -1149805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74048773?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 6:29 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = 9. Let w be (0 + -1 + 1)*-1. Let r = w - p. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 151440 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 - -79. Suppose -45*v - 6*v - 15810 = i. What is v rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2913*k + 5. Let t(b) = -2917*b - 4. Let o(l) = 4*a(l) + 5*t(l). Let j(v) = 5*v**2. Calculate o(j(z)).\nAnswer: -14665*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 103?\nAnswer: 5\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2489028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8682*u**2 + 8*u - 9073. Let d(b) = -8686*b**2 - 10*b + 9073. Let t(z) = 4*d(z) + 5*p(z). Differentiate t(k) wrt k.\nAnswer: 17332*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.353 times 2?\nAnswer: 0.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 - 86*i. Let j(h) = 43*h. Determine 3*c(l) + 5*j(l).\nAnswer: -6*l**3 - 43*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-153)\/(-6885))\/((-4)\/18)*-190?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31428 = -5028*s - 5142*s + 10494*s for s.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -182316506 or -182316507?\nAnswer: -182316507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*o - 6 = 0, -3*t = -4*t - 2*o - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j - 390 = 24*j. Find the first derivative of -148*d - d + 2*d + 10 + j*d wrt d.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 36.32218 millilitres?\nAnswer: 0.03632218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 3*(sqrt(1216) + -3) + 2)*6)**2.\nAnswer: -19008*sqrt(19) + 398340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -112, -244, -432, -676, -976, -1332?\nAnswer: -1744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4028 a factor of 790800540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4*h + 3931, -4*g - 5*h = 4439 - 20196. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 3*u + 150 = 0. Suppose -n = 2*n - u. Calculate the greatest common divisor of 25 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-14)\/(-4))\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 41\/13 - (-4)\/(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 140*r**2 + 132*r - 38428. Determine x(141).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 85*y - 87*y + 108. What is the highest common factor of y and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 15*w + 24. Let m be i(-17). Let f be m\/(-1) - (4 - 8). Suppose -3*n + 38 = f. What is the greatest common factor of 16 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1936565195 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -9 - (-1 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2103546 (base 8) to base 10\nAnswer: -558950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2499803 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -12. Solve f*u + q = -q - 14, -5*u - q - 23 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565 = -155*p + 720*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l - 66. Let d be v(-10). Let w(g) = 14*g - 10. Let j(a) = 3*a. Let f(x) = d*j(x) - w(x). Calculate f(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*d + 3970, -5*w + 2 = -8. Is 35 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/35071 and 67\/10.\nAnswer: 350710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*((sqrt(187) - (sqrt(187) - sqrt(187)*-2)) + sqrt(187)))\/(sqrt(704) + ((sqrt(704) - (4*sqrt(704)*-6 + sqrt(704))) + sqrt(704) - sqrt(704))).\nAnswer: 3*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*z + 15. Suppose -4*x + 68 = -5*a - 187, z*x - 192 = 4*a. Suppose 5*i + 5*l - x = 0, 49 - 6 = 4*i + 3*l. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5696 + -5696.003429. Round r to four decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4904 is divided by 535?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 14*a - 5*w - 214 = 0, 5*a + 1128 = 4*w. What is the common denominator of (-2 + (-439)\/a)*(-5355)\/(-340) and 37\/40?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 11. Let l(h) = 338*h - 11. Let x be l(3). Suppose o = 5*m - m + x, 5*o - n*m = 4961. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 24*x = 151*x - 7650 for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -3*r**5\/20 + r**4\/4 + 4*r. Suppose n(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {m: 1, a: 1, i: 2, d: 1, o: 1, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11235450 less than 0.03872?\nAnswer: -11235449.96128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -213 by -37.\nAnswer: 213\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*w**3 - 376563*w**2 + 685519*w + 8.\nAnswer: -96*w - 753126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 2*a**3 - a**2 + 2*a**4 + 0*a**2 + 5*a**2 - 4*a as f + h*a**2 + q*a + b*a**3 + u*a**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1.1 (b) -1\/8 (c) -4 (d) 3\/22 (e) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 less than or equal to 17447598\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r - 397. Let d(u) = -5*u**2. What is i(d(f))?\nAnswer: 15*f**2 - 397","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28, 146, 468, 1096, 2132?\n\"Answer: 17*x**3 - x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3, 16, -4, 26 in decreasing order.\nAnswer: 26, 16, 0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3*2\/3*3\/(-39)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/(5 + -4 + -3). Calculate the greatest common divisor of 50 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(500) + -1)*-6)**2 - sqrt(500)).\nAnswer: -2920*sqrt(5) + 72144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - 197)*(1 - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131426887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10083 - 4122. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, v: 2, w: 1, d: 4}. Give prob of picking 1 v, 2 a, and 1 d.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = 3*p - 1, 4*y - 4*p = 16. Let v = 1 - y. Sort 1, v, -5 in increasing order.\nAnswer: -5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 105 in decreasing order.\nAnswer: 105, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(4\/3))**(-47))**(-1\/60) assuming v is positive.\nAnswer: v**(47\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -39. Suppose 147 = -4*j - 3*j. Which is smaller: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -28*f + 123. Let u(b) = b**3 - 10*b**2 + 6*b - 65. Let g be u(10). List the prime factors of n(g).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043 is divided by 49?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25190\/9 - -2804. Let l be 12\/30 - (-894)\/15. Calculate the common denominator of ((-76)\/l)\/(-1)*-1 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 17 - 39 - -40\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -174.\nAnswer: 5.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 24*d - 245. Let x be b(-33). Suppose x*z - 357 = z. Solve -9 = -16*a + z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/18)\/((-12)\/72)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 7*n**2 - 16*n + 105. Give r(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 - -10000001?\nAnswer: 10010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19684*l**5*p - 4*l**5 + 5*l*p - 30*l - p + 3 wrt l.\nAnswer: -393680*l**3*p - 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/5 - 218*y**2\/5 - 2468*y\/5 + 2688\/5.\nAnswer: -2*(y - 1)*(y + 14)*(y + 96)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 28*h + 172. Suppose -840 = 153*s - 1605. What is q(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from couocvoocouhhcj. What is prob of sequence hoco?\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2. Let v(f) = -156428*f**2. What is v(m(j))?\nAnswer: -625712*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-446)\/4*3\/(-3)*2.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55 - (23 - 98)) + 6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 634 divide 401945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-51))\/((-4)\/6)*32\/16*27\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.198471873907 + 0.023.\nAnswer: -0.175471873907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**6*j*j*j*j)\/j)\/j*(j\/j**(2\/41))\/j*j*j**(-2\/21)*j*j**(-1\/28)*j assuming j is positive.\nAnswer: j**(40709\/3444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/341100 and 131\/34110.\nAnswer: 341100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**6\/120 - p**5\/60 - p**3\/6 + 4*p**2. Suppose -5*q + 0*q = 0. Let i = q + -2. Calculate n(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15467585\/492 - -31438. Calculate the common denominator of 7\/492 and q.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + a**2 + 0*a + (73*a - 121*a + 65*a)*(490 - 490 + 142*a).\nAnswer: 2415*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 46336 (c) -0.5 (d) -2\/11 (e) -4\/3 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.048572 rounded to one decimal place?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -18. Let v(d) = 9*d**3 - 5*d**2 - 5*d. Let j(i) = 28*i**3 - 16*i**2 - 16*i. Let s be (-115)\/230*(4\/(-2) + -8). Calculate h*v(c) + s*j(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 0*z + 12896\/15*z**3 + 0 - 646*z**4 - 1432\/5*z**2 + 6\/5*z**5 = 0.\nAnswer: 0, 2\/3, 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.7*1468\nAnswer: 14239.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d + 11*d - 2*d**2 + d**2 - d**2 to s*d**2 + m*d + w and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/90 and 123\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g - g + 5*g)*(-g**2 + g**3 + g**2) - 1483*g**4 + 2153*g**4 - 1172*g**4 to the form p*g**4 + d + b*g**2 + k*g + o*g**3 and give p.\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -617*h - 16695. Calculate z(-27).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 16*a - 14*a + 2 = 0, -3*a - 8 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -103023020131?\nAnswer: -103023020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2237062 is divided by 89481.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*f**3 + 28*f**3 - f**4)*(-5 + 1 + 3 + (2 + 7 - 5)*(51 + 11 - 9)).\nAnswer: -211*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47546240?\nAnswer: 2, 5, 7, 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 1900*r**4 - r**3\/6 - 5*r**2\/2 - r. Let a be f(-5). Round a to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*i + 439 + 129, -m = -2*i - 283. Suppose 5*b + 16*a - 20*a + 361 = 0, 4*b = 5*a - m. Is -78 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*i = -39*i + 60. Let j be 0 - (-2 + 4 - 4). What is the highest common divisor of i and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 9.4285?\nAnswer: -16.4285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 839\/15 - 6\/(-15). Let z = -57 + w. Is z <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -8. Let u be (4\/(-10))\/l*5. Suppose x - 3*f + 0*f = -1, x = -u*f - 1. Is 0 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**5\/2 - 153*w**4\/2 + 2667*w**3\/2 - 703*w**2\/2 - 15162*w = 0 for w.\nAnswer: -3, 0, 4, 19, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834 is divided by 293?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 392979 to the power of 1\/2, to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 50, -0.16097 in descending order.\nAnswer: 50, -0.16097, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 2*b**3 + 0*b)*(-2*b**2 - b + b + (b + b - b)*(-3*b + 2 - 2)).\nAnswer: -10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*o + 53*o - 1980 = 0. Calculate the least common multiple of o and 330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647376168 a multiple of 334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*r - 3. Let m be (-665)\/(-45) - r\/9. Suppose 8*x - m = 3*x. Solve -2*w + 5 = -x, 3*w = v + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 8 = 2*s, 215*s = -2*t + 218*s + 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 62 = 12*s. Solve z + 7 = 4*b, s*b + 1 = 5*z + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4\/3 + 82*k**3\/3 + 475*k**2 = 0. What is k?\nAnswer: -57, -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 4:23 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 117. Suppose 0 = 99*i - k*i. Solve 2*o - 2 + 0 = i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 235*m**5 - 4*m + 24 wrt m?\nAnswer: 4700*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + 7. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -411916.9 and 0.04.\nAnswer: -16476.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 19. Solve -n*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxxz when four letters picked without replacement from {z: 4, x: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 10. Let v = t + -3. Solve 2*o + 3*y = -9, 0 = -2*o + 2*y - 2 + v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 1. Let y(j) = -3*j - 3. Let n(v) = -4*q(v) - y(v). Let a be n(-2). Let u be a\/3 + 29\/3. Calculate the highest common factor of 40 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1353 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 4*u + 17*u - u + u in the form m + h*u and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (15 + -8)) + (-3 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16996, -67624, -151880, -269764, -421276, -606416?\nAnswer: -825184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -0.01879?\nAnswer: -0.98121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-2\/3))**(-15)\/((t*t*t**(-2))\/t**(-4\/5)))**12)**(-23) assuming t is positive.\nAnswer: t**(35604\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 1863.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*c + 77 + 75 = 0, -3*c = -5*s + 352. Let u = s - 113. Let w = 45 + u. Solve 3*d + w = 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 940*j**2 - 54396*j + 53460.\nAnswer: -4*(j - 135)*(j - 99)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 345012, 690025, 1035038, 1380051?\n\"Answer: 345013*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**3 - l + 42. Let k(j) = -5*j**3 - j + 43. What is -2*k(b) + 3*o(b)?\nAnswer: -8*b**3 - b + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**5\/60 - z**3\/6 + z**2. Let i(f) = 880*f - 1766*f + 8*f**2 + 885*f + f**3 - 5. What is 5*b(o) - i(o)?\nAnswer: -o**3 - 3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 17*r + 10*r = v, 12 = v + 59*r - 54*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36159919 is divided by 163?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 396.8538ml in litres?\nAnswer: 0.3968538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1520, -7549, -23912, -55775, -108304?\nAnswer: -186665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b**3 + 2*b - 1. Let k be (-6)\/(-8) - (-4)\/16. Let a be f(k). Solve -j = -5*h + a, 2*h + j - 4*j = 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345 divided by -69.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220111011120 - -20?\nAnswer: -220111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -11*z**2 - 6*z - 4. Give l(3).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 92025, 92034, 92049, 92070, 92097?\n\"Answer: 3*u**2 + 92022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + 94*d**2 - 60*d - 58. Calculate the remainder when k(39) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 12:05 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 5, -4, -22, -12, -3 in descending order.\nAnswer: 65, 5, -3, -4, -12, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 3262302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164*m**2 + 2 - 3*m**4 + 164*m**2 + 0*m + 3*m to q*m + o*m**3 + y*m**4 + j + n*m**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 62\/155 - (-3)\/(30\/16). Differentiate 26*n**4 - t*n**4 + 20 + 21 with respect to n.\nAnswer: 96*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -67, -285, -629, -1081, -1623, -2237, -2905?\n\"Answer: 3*b**3 - 81*b**2 + 4*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 3 - (-13 + (21 - 10)) - 2) + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17947\/128550 + 1\/2571. Suppose x - 6*x = 0. Is b <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 337905 and 170010.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/808 and 23\/80.\nAnswer: 8080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*r - 14, r - 2*s = -5*s + 6. Suppose -r*l = -4*l. Suppose -9*x + 8*x + 2 = l. Solve w + 2*o = 4*w - 7, -2*w = x*o + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1489812, -2979712, -4469612, -5959512, -7449412?\nAnswer: -8939312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, 5, 15, 29, 47, 69, 95?\n\"Answer: 2*i**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = x + c + 6260000, -4*c = 0. What is x rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -162 (c) 1\/8 (d) 2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5374 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -841 - 4?\nAnswer: -845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20157 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 6 + -9 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0419 rounded to two dps?\nAnswer: 3.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*sqrt(605) + sqrt(605))**2 + 2 + (sqrt(5)*2 + 4 - -6*(-2 + sqrt(5)))).\nAnswer: -9656 - 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25.8, 5, 1\/28, -1, -4?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1355 = -2*j + 719. Is 1038 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86134 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-94)\/4 - 2. Suppose 2*f = -3*f + h. What is the lowest common multiple of f and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000061839627 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = g + 10, -2*g + 3*v - 20 = -v. Let d be (-535)\/g + -2 - (-1)\/2. Calculate the greatest common divisor of 884 and d.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 6. Suppose 0*y - y - h*d + 6 = 0, -50 = -5*y - 5*d. What is the greatest common divisor of 30 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 15*r**2 + 43*r - 249. Let i be h(7). Let k(u) = 45*u - 124. Determine k(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 8, 0 + 24 = 4*d + 4*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(1\/2))**(-46))**10)**(-16) assuming l is positive.\nAnswer: l**3680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1769? (a) -2 (b) -0.4 (c) 2\/13 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4949182*l**5 - 415*l + 2520.\nAnswer: 98983640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3470723 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 278411262?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 174869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5089745 rounded to three decimal places?\nAnswer: 4.509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 8 + 1 + -41 + 2\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 37*j**2 - 188*j + 11. Give r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 - 2*l + 2. Suppose d = -d. Suppose d*a + 10 = 5*a. Is q(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 10. Suppose -2*z - 26 = -4*v, 0 = -2*v + 2*z - 7*z + 7. Let s be t(v). Solve -5 = w + j, w - s*w + j = 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359174.\nAnswer: 2, 47, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713444 is divided by 44585.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvevvvsvvvvvv. What is prob of sequence se?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d. Suppose 0 = -2*t + t. Let r = t + 3. Let i(o) = 3 - 3*o**2 - r + o**2. Calculate z(i(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24921 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.06? (a) -1\/2 (b) 56 (c) 5 (d) -5 (e) -0.059 (f) 2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7866695, 15733388, 23600081?\n\"Answer: 7866693*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 6:57 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p + 14. Let c(m) = -20*m - 29. Let t(s) = -6*c(s) - 11*z(s). Differentiate t(h) wrt h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**3\/17 - 2*l**2\/17 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2. Let v(s) = 19 + s**2 - 8*s + 17*s - 30*s + 21*s. Calculate x(v(c)).\nAnswer: -2*c**4 - 76*c**2 - 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 9 = -29. Let b be (3*(-58)\/261)\/((1\/3)\/(-1)). Solve 0 = n*i + 2*v, -b*i + 0*i - 3*v + 8 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -500.6818 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*m + 267*m + 147 = -274*m for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f - 4*v + 20, -5*f - v = -13. Let a(b) be the first derivative of 7*b - 6*b - 4*b - 1 - b**2 + f. What is the first derivative of a(y) wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1331.7 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efs when three letters picked without replacement from afkysfe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*r*t**2 + 75*r*t*w**3 - 69*r*t - 447*t**2*w**4 - 3*t**2*w**2 - 19*t*w**2 wrt w.\nAnswer: 450*r*t - 10728*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 - 19*c**2 + 10*c. Let n be d(-10). Let s(t) be the second derivative of -t**2 - 1\/3*t**3 + n - 2*t. Differentiate s(q) with respect to q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 21. Let y(l) = l**2 + 7*l - 3. Let w be y(i). What is the third smallest value in 2, -0.1, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 197 - 16 - (-2 + -3). Calculate the greatest common factor of i and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/10 + 30\/8. Let f be 1*(2 + 1\/(-2)). What is the second smallest value in f, 2, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 480 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 + -64.094. Let f = 0.048 + i. What is f rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 9:44 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46875 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012112112022 - -12?\nAnswer: -2012112112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21072173 and 614.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2 + sqrt(176) + sqrt(396)*-1 - sqrt(22)\/(sqrt(14)\/(1*sqrt(7)))))**2.\nAnswer: 12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34.469990445 - 34.47. What is c rounded to seven decimal places?\nAnswer: -0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23980332*l**2 + 23980335*l - 3.\nAnswer: -3*(l - 1)*(7993444*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 6*g**2 - 2*g + 4. Let v(k) = -12*k + k**2 + 17*k + 18 - 21*k - 7. Let w be v(15). What is m(w)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f - 692 + 770 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + k = -73, -v + 4*k - 30 = -3*v. Suppose -16 = -3*j + 3*u - u, 3*u = 4*j - v. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjccjjjjjjjjcjj. Give prob of picking 1 c and 3 j.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 6\/162*6. Suppose 4*u = 0, 0*u + 3*u = 2*i - 18. Suppose -i + 2 = 4*z + 5*y, -y - 2 = z. What is the closest to 3 in 0.3, z, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63b225 (base 13) in base 8?\nAnswer: -10726271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13715296 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3223252880 rounded to the nearest one million?\nAnswer: 3223000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -14*z. Let o be n(-1). Let y be 4\/((-8)\/6)*-1. Let q be (-7)\/((-8)\/(-3) - y). What is the greatest common divisor of q and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4032*s**2 - 144*s + 48. Let q(o) = 423*o**2 + 15*o - 5. Let u(m) = 48*q(m) + 5*w(m). Let v(z) = -11*z**2. Give u(v(h)).\nAnswer: 17424*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 7:58 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1440 is divided by 208?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 980038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 3\/12*-101. Let d = f + 26. Let m = -1049 - -1044. Which is the biggest value? (a) d (b) m (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/5 - 17*q\/5.\nAnswer: q*(q - 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25 - (48\/168 - 24\/(-14)). Let g = -15 + j. Solve g = 9*h - 11*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0775 and 10?\nAnswer: 0.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19231529, -19231510, -19231491?\n\"Answer: 19*y - 19231548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (527\/34 - 5\/(-10))\/(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.2956 to 1 decimal place.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24893 + -24890. Solve 5*g = f*q + 37, -3*q - 11 = g - 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -555 divided by -111.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a - 3. Let k be n(-2). Let u be 2 + (-2)\/((-2)\/k). Suppose 2*g - b + 12 = u*b, -5*b + 41 = 4*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -13*v**3\/3 - 4. Let l(c) = -3*c + 4*c + c. What is l(a(d))?\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/11)\/t)\/t*t\/((t\/(t\/(t*t\/(t*t**(-5)*t)*t*t)))\/t)*t)\/((t*t**(-4))\/t*t**(-11)) assuming t is positive.\nAnswer: t**(101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1967536747?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 30 = 35 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238, 873, 1800, 2911, 4098, 5253, 6268, 7035?\nAnswer: 7446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 36 = -3*y. Let f be 18\/8 + 3\/y. Let n be 3*((-19)\/(-9) - f). Which is the biggest value? (a) n (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 12 = -4*h + 4, -2*h - j + 14 = 0. Suppose 514 + 98 = 102*s. Solve -s = -5*a + h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -210, -470, -832, -1344, -2054, -3010, -4260, -5852?\n\"Answer: -8*p**3 - 3*p**2 - 195*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2527266 and 38004.\nAnswer: 5054532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -3*v**4\/2 - 5*v. Let a(h) = -h**2. What is w(a(p))?\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -2 + 4 + (0 - -25 - 11 - -30).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x + 2. Let n = 168 + -105. Let a = n + -31. Calculate the remainder when a is divided by s(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 437*z + 170*z + 144*z + 119*z.\nAnswer: -4*z + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 656*h + 1963. Let o be a(-3). Is -13 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 8*t + 6. Let c be 3*1\/t - 2\/(-2). Suppose 0*s + 3\/5*s**4 + 0 - c*s**3 + 0*s**2 = 0. Calculate s.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120 - (-8 + 0 - (-131 - (-134 - -22)))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (37647 - -219) + (10 + -1)\/(-3). What is t rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 239, 367, 497, 629, 763?\nAnswer: 899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 480881370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3144 = 8*s - 4*s, 784 = s - 2*z. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10339b + 4?\nAnswer: -103397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123187538.\nAnswer: 2, 3, 11, 41, 415073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**7\/140 + j**4\/8 - j**3\/3 - 2. Let v(o) be the third derivative of w(o). What is the derivative of v(f) wrt f?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 37 + -2 + (3 - 4). Let s = 69 - o. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9, -16, -25, -36, -49, -64, -81?\n\"Answer: -r**2 - 4*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 272591 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032988713 rounded to 4 decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*y = 0, -3*k - 122*y = -120*y - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2389 divided by 122\nAnswer: -2389\/122","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -87*763596.\nAnswer: -66432852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 544\/39. Let x = -43\/78 - h. Suppose -41 + 5 = -6*i. Which is the second smallest value? (a) x (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441.8851 weeks in microseconds?\nAnswer: 267252108480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2344 - 3.2344. Let w be 1\/(-3) + (-12 + 8)\/12. Sort 3\/5, z, 0.7, w in increasing order.\nAnswer: z, w, 3\/5, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 402 - 285. Do 117 and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = 0, 29*p + 3*s = 27*p - 6. Suppose 6*a - 813 = p*a. Calculate the remainder when a is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3815 + 7418 - 1545 = -154*t - 192*t for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2186 * 0.11.\nAnswer: -240.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 336425 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 368360 and 1270842.\nAnswer: 25416840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j. Suppose -2*s + 45 = l, 3*l + l - 70 = -3*s. Let q(p) = p**2 + 22. Let h(m) = 2. Let b(n) = s*h(n) - 2*q(n). Give y(b(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -689*q + 691*q - 14 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2)*q*q\/q**(1\/2))\/(q**(-6)*q*q**(1\/3)*q*q*q) assuming q is positive.\nAnswer: q**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, -849, -1478, -2285, -3330, -4673, -6374, -8493?\nAnswer: -11090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 4*j - 4, -f = -3*f + 3*j + 11. Let n(y) = -5*y + 5*y - f*y. Let r(c) = 5*c. Let k(w) = -4*w. Let m(p) = -6*k(p) - 5*r(p). Calculate n(m(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -53. Let c(t) = -t**3 + 11*t**2 - 10*t + 3. Let a be c(b). Let q be 4*((-10)\/4)\/(-5). Solve -16 = 3*k - 4*o, -a*k = -q*o - 3*o + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/18 and 10\/21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -1 - 0) + 0. Let l = -62 + 56.4. Let t = l + 2.6. Put -2, b, t in decreasing order.\nAnswer: b, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 2*m. Let z(n) = 13*n**2 - 2*n + 25. Give l(r) + z(r).\nAnswer: 12*r**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31 + -152781?\nAnswer: -152750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 299 + -292 + (-10 - -2 - 0) + 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgobgogsvbvvb. What is prob of picking 1 g and 2 o?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -193*h**2 + h + 2. Let l(u) = u + 2. What is l(i) - v(i)?\nAnswer: 193*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0642 - 2.5058. Round b to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-173 - 174 - h + 362).\nAnswer: -2*h + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -12, -52, -128, -252, -436, -692?\nAnswer: -1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 2*r - 136. Suppose r*q - 88 = 9*q. Solve -4*w - 4*j = -16, -5*w - q - 8 = -5*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8451486 grams?\nAnswer: 845.1486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -2*f**5\/5 - 23*f**4 - 166*f**3 - 364*f**2 - 320*f + 829. Factor t(m).\nAnswer: -2*(m + 1)**2*(m + 4)*(m + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 989088849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, j: 4, e: 7}. Give prob of sequence je.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 21002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3635524, -7271049, -10906574?\n\"Answer: -3635525*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - o + 16*o**3 + 0*o**3.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 23 = -5*a, a - 11 = -a - 3*k. What is the third derivative of 22*x**a - 4*x**2 - x**2 - 13*x**4 wrt x?\nAnswer: 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1406, -167, 36 in ascending order.\nAnswer: -1406, -167, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 + 0)*(-2*s + 2*s - 2*s) + s - 2*s + 0*s + 2 - 2 + s - 2*s + s + 3*s)*(-2*s + 3*s - 5*s).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 36 = 417. Let z = h - -385. Let s(r) = -r**2 - 6*r + 6. Let w be s(-5). Which is bigger: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 - 45*d - 1304. What is u(-15)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132381?\nAnswer: 3, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181 - 54. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*d = 8, 3*w - d + 4 = 6*w. Factor -1\/5*i**2 + w + 2\/5*i.\nAnswer: -i*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 317*g**2 + 8*g - 2. Suppose -10*m + 19*m = 9. What is the hundreds digit of d(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 4 - -3 - -3. Suppose -10 = -4*w - g - 0, 0 = 5*w - 4*g - v. Suppose -6*r + 44 = -w*r. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/460 and 101\/60.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011010111 - -11010110?\nAnswer: 11110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 + -2)*80\/56. Let t be 5296\/(-10)*r\/(-4). Let c = t + -603. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 5, c: 4}. Give prob of picking 2 u.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7602*v - 3790*v - 3810*v - 3667)*(v**3 - 3*v**4 - v**3).\nAnswer: -6*v**5 + 11001*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + 9. Let i(j) = -j**3 + 10. Determine 3*i(u) - 2*y(u).\nAnswer: u**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**2 - i - 4. Let a(y) = -46*y + 180. Let g be a(4). Calculate the lowest common multiple of 40 and x(g).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16550 - 16540. Solve -38 - j = -24*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {k: 2, j: 4, q: 2, z: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = -0*t. Let n(c) = c**3 - 5*c**2 + 3. Let b be n(t). Suppose -2*m = 3*m. Solve m = 5*j + 23 - b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqbbxbtbqblltt. What is prob of sequence bl?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670*y + 666*y = -16, 0 = 5*m + 5*y - 455. Calculate the remainder when 2\/6 + 491\/3 is divided by m.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/18 - (-56)\/(-90).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539)*2)**2 + sqrt(11) + (sqrt(77)\/sqrt(252))**2)*-5.\nAnswer: -388135\/36 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q - 464 = -12*q - 65*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -40, -57?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (0 - (0 + -14 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2843637529 rounded to the nearest one million?\nAnswer: -2844000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -1, 70, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 10*o**3 - 29*o**2 + 150*o + 175. Give y(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/16)\/((-2)\/(-40)). Factor 23*y**2 - y**3 - 2*y**d + 2*y**4 - 22*y**2 - 3*y**4 + 3*y**5.\nAnswer: y**2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -28*u + 6. Let o be x(-6). Suppose 9*z = 3*z + o. Suppose 3*l = -3*f + 36, l - 2*f - 16 = -4*f. What is the remainder when z is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 48. What is the second biggest value in s, 4, -1\/2, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(36\/20)*12\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(2\/2*6\/108). Find the common denominator of 2 + 0 + (-330)\/v and -47\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**5 - 2716*v**4 + 1087420*v**3 + 3281212*v**2 + 2191080*v = 0. Calculate v.\nAnswer: -961, -2, -1, 0, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*n - 202, 2*x = -6 - 4. Suppose -n - 77 = 4*y. List the prime factors of (-660)\/y - (-4)\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + sqrt(102) + -1*sqrt(102)*-2)\/(2*(1*sqrt(6) + sqrt(6)))*-2.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1560, -438, 2598, 8502, 18228?\n\"Answer: 159*k**3 + 3*k**2 - 1722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d + 2 + 4*d + 2*d - 2*d to f + q*d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/(-55) + (-21)\/(-15) + 1. Let p = 13 - 8. Suppose -j + 2*j = p. Solve g = 4*z - 0*g - 1, y*z + j*g - 17 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0739228291 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/4 - 553926*b**2 - 409123096263*b\/4 - 2045504697615\/2.\nAnswer: -3*(b + 10)*(b + 369279)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(468) - (sqrt(13)*1 + -3)) + 3)**2.\nAnswer: -372*sqrt(13) + 12529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 320\/48 - (-5)\/(-3). Let l(k) be the second derivative of -9\/8*k**2 + 0 + i*k - 1\/2*k**3 - 1\/16*k**4. Factor l(g).\nAnswer: -3*(g + 1)*(g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.62*-11763\nAnswer: -42582.06","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 155, 322, 489, 656?\n\"Answer: 167*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29)\/(1827\/54)*-1974 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 87.34938 millilitres?\nAnswer: 0.08734938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*k + 20*k + 1444. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88872 plus -13?\nAnswer: -88885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**3 + l**2 + 11*l + 6. Let b(x) = -x**2 + x + 4. Determine -8*b(h) + 3*q(h).\nAnswer: -h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -77 (base 8) to base 15\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -121.35\nAnswer: 36.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 - -102. Let o = -4.32 - -0.32. What is the nearest to -2\/3 in u, o, 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -5. Suppose u = v + v - 10, u = -k. Is 11 a factor of (-19)\/(v + -2)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 2*p + 8. Let g be b(-4). Suppose -2*v + 40 = 5*m, g = -v + 4*m - 4 - 2. What is the smallest common multiple of ((-2)\/(-5))\/(3\/45) and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 594 and 591426.\nAnswer: 1774278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 68199 divided by 179?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*r**3 + 104*r**3 - 206*r**3.\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*1*(-4)\/((-70)\/7*3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**3 - 6*n**2 + 15 + 13*n**3 - 4*n**2 - 8*n**3. Calculate the remainder when p(10) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/25 - 28\/5. Let g(t) = 294*t**2 - 4*t - 8. Let i be g(l). Suppose 0*c = 4*c + 2*z + 21200, 3*z = 2*c + i. Round c to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -21. Suppose 0 = t - 4, 5*d - 38 = -2*t + b. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 + 12*t**2 + 25*t**2 + 4*t**2.\nAnswer: 46*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2554 + 2544 + 2561 + 10*y + 2560 - 10219.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -42*a. Let m be l(-2). Suppose -29*o + o = -2296. Is o bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -347*c**3*d**2 - 3225*c**3 + 6*c**2*d**4 wrt d?\nAnswer: -694*c**3*d + 24*c**2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -552 - -556. Solve 0 = d - 3*s - 4, v*s - 4 = -3*d + 5*s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 11*y**2 - 7*y + 15. Let q be o(10). Let b = q + -20. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 417973011.\nAnswer: 417973015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0527 + 1.9473. Let d = 1 - 5. Suppose -z + 3*z = -5*l - 20, 0 = -3*l - 6. Which is the nearest to y? (a) d (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*u = -92*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(108\/(-90)*10\/(-3)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(28) + -2.\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 13*i - 35 = 0. Let h(y) = 6*y**2 - 4*y - 6. Let u be h(i). What is u rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1587*h**3*p**3 + 18*h**3*p**2 + 63*h**3*p + 4*h**3 + 803*h**2*p**3 - 2*p**3 - 27 wrt p.\nAnswer: 9522*h**3 + 4818*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*g - 42 + 49 + 20*g + 6 - 16.\nAnswer: 55*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488349*y + 1407770*y + 1135560*y.\nAnswer: 2054981*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155612 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2186*l + 2186*l - 60*l**2)*(0*l - l**3 + 0*l).\nAnswer: 60*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24052, 21942, 19834, 17728, 15624, 13522?\n\"Answer: q**2 - 2113*q + 26164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 62061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuunnu. What is prob of sequence nuu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**36*l*l*l)\/(l\/(l**(-16\/3)\/l)))\/(l*l**(1\/5)\/l*l)**(-1\/2) assuming l is positive.\nAnswer: l**(514\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/34580 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29610 and 399770?\nAnswer: 169102710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/39)\/((-8)\/24).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(4\/7)\/v*v*v))\/(v*v**7*v)*(v**(-2\/9)\/v)\/(v\/(v*v\/v**(-4))))**(5\/2) assuming v is positive.\nAnswer: v**(-1070\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*s - 8. Let x(q) = -4*q - 73. Let c(u) = 2*u + 36. Let f(v) = 13*c(v) + 6*x(v). List the prime factors of f(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -62*c**2 + 1218*c - 3885. Calculate l(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74 - 66) + -1 + -7 + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c + 36*c - 17*c + 127*c**3 - 188*c**3.\nAnswer: -61*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 122274 (base 13) in base 12?\nAnswer: 18a876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2620*g**2 + 1307*g**2 + 1310*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*s**2 - 10*s + 981 wrt s?\nAnswer: 22*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 737 + 0.682.\nAnswer: 737.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -1\/2 (c) 5 (d) 0.5 (e) 114856\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-7) + (-4)\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45012, 45021, 45044, 45087, 45156, 45257, 45396?\nAnswer: 45579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 1392\nAnswer: -13\/1392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*p + 18 = 220*p - l, -32 = 5*p - 6*l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 7:07 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*f, -184*c = -185*c - 3*f + 15. Put 0.27, c, -0.4, 128 in increasing order.\nAnswer: c, -0.4, 0.27, 128","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 728*q + 720*q - 1564*q + 554*q.\nAnswer: 438*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 29. What is b(10)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (2 + 22) - -12 - 7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.09 and -207.\nAnswer: -206.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-34)\/s**(-6\/7) assuming s is positive.\nAnswer: s**(-232\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 2, j: 2, x: 1}. What is prob of picking 1 j and 1 r?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6124.978 minutes?\nAnswer: 367498680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11102 (base 6) to base 5.\nAnswer: -22200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 7 (c) -3\/2 (d) -1\/2 (e) -537\/2 (f) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 13*v - 19200000. Round v to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9989, 39985, 89973, 159947, 249901, 359829, 489725?\nAnswer: 639583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*p**3 - 2787*p**2 + 16968*p - 4068.\nAnswer: 3*(p - 226)*(p - 6)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -98031, -196061, -294079, -392079, -490055, -588001, -685911?\n\"Answer: l**3 - 98037*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/16 (b) -84 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 22 = -0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 9*m + 16. Let s be q(8). Suppose -2*f + 3*z + s = f, -f = -2*z - 11. Suppose -5*p + 20 = 3*i - i, f*p - 10 = 0. Solve 3*g - 20 + i = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-24)\/(g\/(g\/((g\/g**(-1))\/g)))**39 assuming g is positive.\nAnswer: g**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*w + 87*w + 81*w - 334*w + 86*w - 78*w + 80*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w**3 - 124*w**2 + 161*w + 76. What is s(-26)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 5 + 2*n**2 - 4*n**4 - 92*n**3 - 14 + 15 - 9*n**3 to the form i*n**4 + q*n**2 + j*n**3 + p + u*n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 6:45 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 26.5. Let k = x + 2.7. Let m = k - -8.1. Round m to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 1:38 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 324 + -48. What is the tens digit of x\/5 - 60\/(-75)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208130\/(48 + -22) + -12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421312 (base 8) in base 7?\nAnswer: 1122046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496592576 to the power of 1\/2, to the nearest integer?\nAnswer: 38686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b + 14*b + 5*b)*(-2 + 2 - 3*b**2) to d + r*b**3 + y*b**2 + g*b and give r.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 26*w**2 + 72*w - 66. Let n be y(23). Suppose -l = 2*l + 2*d - 3, -2*d = -2*l + 12. Solve 0 = l*a - 5*s - 23, -3*a - s - 13 = n*s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 627139 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 91?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from {i: 6, l: 1, d: 2, w: 1, y: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*d*j + 31*a*d + 4*a + 168849*d*j - 2706 wrt j?\nAnswer: -2*a*d + 168849*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1593761 is divided by 177081.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-15) + 32\/40.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*p + 12 = -a, -4*p = -3*a + 9. Suppose -c + 5*x = -15, 5*c - 15 = a*x - 8*x. Put c, 0.3, -1\/3 in descending order.\nAnswer: c, 0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/15 - 6\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s - 1. Suppose 0 = -2*v + 2, 0*b + 3*b = 2*v + 148. Suppose l = 6*l - b. Let n(j) = j**3 - 9*j**2 - 11*j + 10. Let m be n(l). Calculate c(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 - 420*t - 20. Let y(c) = -42*c - 2. Let a(h) = -k(h) + 10*y(h). Let r(b) = -2181*b. Determine a(r(m)).\nAnswer: -19027044*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 384925.8109224 and -2.\nAnswer: 384923.8109224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4672 by 73.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152 - 284. Let p = -163 - 214. Let g = h - p. What is the highest common divisor of g and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.0314 (c) -1 (d) -6\/235\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jysydsdsmdymmdsm. What is prob of sequence mms?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -320*t + 268*t**2 - 322*t + 640*t - 2 + 2 to the form y*t**2 + z*t + q and give y.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 14350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovay when four letters picked without replacement from opvpmoya.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 + -73. Suppose -188 = -3*n - 2*q, -l*n + 215 = 5*q - 45. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/3))**(1\/19)\/(l\/l**5*l**(6\/5))*((l\/(l*l\/l**(-4\/9))*l)\/l**(-7))**(-26) assuming l is positive.\nAnswer: l**(-143306\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 12. Suppose -4*n - 4*s + 45 = s, -25 = -n - 4*s. Suppose -i + 26 = 2*z, 2*z - 24 = -r*z + n*i. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 5885 = 11412. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*d + 4, -5*d + 15 + 15 = 2*x. Solve -4*n + x*j - 5 = 0, -6 = 3*n - 5*j + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/83 - 2391\/664. What is the common denominator of 25\/12 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 46852926 and 9415.1.\nAnswer: 46862341.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 4 + 14. Let s(v) = -11*v**2 - 5*v + 3. Let p(r) = 5*r**2 + 2*r - 1. Determine b*s(q) + 7*p(q).\nAnswer: 2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 33 + 7 + 10 - 1958*z.\nAnswer: -1958*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 867416 and 43648?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*g + 13 - 66 = 0, -4*x + 3*g = 13. What is the remainder when 43 is divided by -3 - ((-6 - x) + -14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 10*z**2 + 11*z - 3. Let p be a(-14). Suppose -53 = -20*n + p. What is the remainder when 131 is divided by n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 618*c = 624*c - 74, -c + 13 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 972*h**2 + 9708*h - 128. Calculate x(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**3 + 13*c**2 + c - 5. Let a be u(-12). Suppose 4*o - a = -3*k, 4*k + 9 = k. Let q = o - 1206. What is q rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -26959\/76658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 17*t**2 - 10204*t + 71364. Give z(7).\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 870 + -9598\/11. Let r be 5*(6\/4)\/(5\/(-2)). Which is bigger: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**4\/2 - 16*r. Suppose 3*m = o, -6*m = -4*m + 4*o. Let w(n) = m - n + 0. Give w(t(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4981\/3122 - -32\/669. What is the common denominator of o and (-498)\/(-42) - 5 - 4?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*236\/(-177)*126\/12?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -312322.69 - -3005.69. Let o = f + 309951.667. Let s = -634 + o. What is s rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 7 = 87. Suppose 0 = -u*w + 4*w + 24. Let g(v) = -v**2 - 3*v - 2. Let s be g(-2). Solve 2*k = -s*k + w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -24*r - 1\/10*r**4 - 2\/15*r**3 + 0 - 2*r**2 - 1\/25*r**5 - 1\/150*r**6. Let x(t) be the first derivative of g(t). Factor x(v).\nAnswer: -4*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/(-12)*(-339)\/2. Let j = 705 + r. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**7\/360 + 7*c**5\/15 + c**4\/12 + 2*c**2 - 11*c. Let q(w) be the third derivative of r(w). Determine q(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124 by 5.\nAnswer: 124\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(((f**(-2)\/f)\/f)\/f)*f)**(-6\/7)*f**(1\/9)*f*f**11 assuming f is positive.\nAnswer: f**(331\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/165 + 33*22\/(-3465). Sort p, -0.05, -5, -2\/9, 0.2 in increasing order.\nAnswer: -5, -2\/9, p, -0.05, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 1. Suppose 0 = a + 4*w + 2, w - 18 = -4*a - 2*w. Let c(t) = -9*t + 6. Calculate a*h(l) + c(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -3*j + 12, 0 = 89*j - 87*j - s - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -13*t**2 - 3*t - 4. What is u(-3)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 54.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 4, 15, 0.3, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -601 = -4*j + 55. Let o = -95 + j. Let f = o - -342. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12*20\/6 - 0. Suppose 0 = a + l - 21, -l + 18 = 4*a - 51. What is the greatest common factor of z and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 2. Let d be u(2). Let c be d\/(-14) + (-2700)\/(-14). Suppose 435 = 4*s - c. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(((-6)\/6)\/(-5 - -6)). Let v(i) be the second derivative of 2\/21*i**3 + 0*i**k - 1\/42*i**4 + 0 - 8*i. Factor v(u).\nAnswer: -2*u*(u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**21)**(2\/9)\/(t**(-1\/21)*t*t**(-29)) assuming t is positive.\nAnswer: t**(229\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118 - 92. Suppose 5*d - 3*g - q = g, -4*g - 16 = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34362\/11 + -3127. What is the common denominator of n and -23\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1101, 3, -2, 15, -6.\nAnswer: -1101, -6, -2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 9292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**5\/60 + 3*r**4\/8 - 127*r**3\/3 - 97*r**2 - 2*r. Differentiate f(v) with respect to v.\nAnswer: 2*v + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3281 - -3291. Solve -5*p - f*p + 30 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112502 + -134?\nAnswer: 112324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -2181, 4\/5, -0.0695 in ascending order.\nAnswer: -2181, -0.0695, 1\/4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**8\/6720 + d**7\/1120 - d**6\/720 - d**3\/2 - 2*d**2. Let n(u) be the first derivative of a(u). Factor n(v).\nAnswer: -v**2*(v - 2)*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01368 + 0.036.\nAnswer: 0.02232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 437236 divided by -109309.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*i - 50*i - 36 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -68, -111, -158?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -73*s + 158783. Let y(d) = d. What is q(y(n))?\nAnswer: -73*n + 158783","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 2. Let y be (2\/(-6))\/((-1)\/(-6)). What is the smallest common multiple of 2 and f(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08922 + -0.5.\nAnswer: -0.58922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-66) - (-4)\/22. Let y(i) = 6*i - 9 - 6*i + i. Give y(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 6:36 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and 823.\nAnswer: 18106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 692560 and 848386?\nAnswer: 33935440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2741 times -7018?\nAnswer: -19236338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 808?\nAnswer: 8888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 + 1042*k**3 + 8393*k**2 + 7350*k.\nAnswer: -k*(k - 1050)*(k + 1)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 17*l**2 - 14*l + 15. Let h be t(-17). Suppose h = 2*i + 43. Calculate the remainder when i is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -5\/4, -6, -0.14 in ascending order.\nAnswer: -40, -6, -5\/4, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (sqrt(68) + (-2*sqrt(68) - sqrt(68)) - sqrt(68) - sqrt(68) - sqrt(68)))*6)\/(sqrt(324)*-2 - sqrt(4)).\nAnswer: 24*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -29*w**2 - w. Let j(p) = -p - 509. Calculate y(j(c)).\nAnswer: -29*c**2 - 29521*c - 7512840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01845156 rounded to five decimal places?\nAnswer: 0.01845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 744522 to the power of 1\/2, to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64875 - 5?\nAnswer: 64870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*s - s + 342. Let y(n) = -n + 16. Determine y(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9168*z**2 - z - 1. Let v be k(-1). Is v\/(-8) - (-1 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r**2 - 2*r - 2. Give z(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*f + 14*f + f**3)*(-5*f**2 - f**2 + 4*f**2) - 2*f**3 + 0*f**4 - 3*f**5 + 2*f**4 + 0*f**5.\nAnswer: -5*f**5 + 2*f**4 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 162577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3589.44 centuries in months?\nAnswer: 4307328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + -2 + sqrt(1300) + 5 + sqrt(26)\/sqrt(2) + ((sqrt(104) + sqrt(104)*2)\/sqrt(8))**2.\nAnswer: 11*sqrt(13) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/15*(2 - 2). Suppose b = -23*w + 6*w + 34. What is the remainder when ((-14)\/(-42))\/(1\/21) is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*10\/20*35*-2326. Suppose 44*y - 39*y - b = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s - 2. Let k(h) = h. Let y(v) = -d(v) + 2*k(v). Suppose -4*m - 9 - 11 = 0. Calculate y(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from zgmfk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5 + 474*j**4 + 18243*j**3 - 37920*j**2 + 19200*j = 0. Calculate j.\nAnswer: -80, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.2 + -2.2. Suppose -2*f - 9 = -5*z, -5*f = -2*z - 3*f. Suppose -z*v + 6 = -v. What is the third smallest value in v, -0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1300019 + -0.13. Round w to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2025 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 732236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6462 by -3231.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.33 - 0.07. Which is the second biggest value? (a) 20 (b) 0 (c) -4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 1. Let t = q + -3.9. Suppose 4*p = p + x + 14, 4*p - 4*x - 32 = 0. Which is the third smallest value? (a) t (b) p (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + g = 14, 109*x - 107*x + 24*g - 266 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-14) - 102\/(-119).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**16\/n*n**1*n**(-3)*n*n\/(n\/n**0))**(-34) assuming n is positive.\nAnswer: n**(-476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2273*q + 2257*q + 960 = 4554*q for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 - 50*i\/9 + 28.\nAnswer: 2*(i - 18)*(i - 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 11*o - 87. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/24 and (-147)\/30*95\/(-513)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 15\/20*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5543, -5328, -5109, -4886, -4659, -4428?\n\"Answer: 2*m**2 + 209*m - 5754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2209, 2208, 2207, 2206, 2205, 2204?\nAnswer: 2203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-378)\/112 + 6\/16. Let b(d) = 6*d. Let u be b(p). Let i be ((-320)\/(-15))\/8*u\/(-8). Solve -11*r + i*r = 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 9:22 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*m - 20282, 13*x - 18*x + 33825 = 4*m. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -103\/2 (b) 14 (c) -1\/78 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155 + 155. Let x = 0 + 1. Let v be (-26)\/(-8) + x\/(-4). Solve w*s - 3 = v*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61738 (base 10) in base 11?\nAnswer: 42426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, z: 3, h: 1, b: 5}. What is prob of sequence zbz?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -158 >= -155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3\/2 - 14112579*l**2\/2 - 24895607225760*l + 24895614282050 = 0.\nAnswer: -7056290, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23123 + -2101032?\nAnswer: -2130221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 - 4*c + 52. Let y be l(-6). Solve u - 11 - 4 = 5*m, 3*m + 32 = -y*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, 36, 81, 126, 171?\n\"Answer: 45*b - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) -5\/8 (c) -3 (d) 0.2 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l**5 + 78*l**4 + 101*l**3 - 1668*l**2 - 1444*l + 240 = 0. What is l?\nAnswer: -4, -1, 1\/7, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 0*j + 3*j + 19, 3*i = -4*j + 3. Let r = 6 - i. Which is the second smallest value? (a) -1\/2 (b) 2\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139072180 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: Convert 3324041141 (base 5) to base 4.\nAnswer: 123222222333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4214642754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3760 - 15549 + 2509 = 400*x for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, -95, 0, -5 in decreasing order.\nAnswer: 12, 0, -3, -5, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 116\/68)*(4290 - 4291)\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o + 147 - 3. Suppose -13*n - o = -10*n + 4*m, -2*n = -2*m - 8. Solve n = -2*g + 4 - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {c: 4, q: 1, a: 1, n: 2, b: 10}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18000 by -8.\nAnswer: -2250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 k, and 1 q when three letters picked without replacement from {g: 1, y: 4, k: 7, q: 2, o: 1, z: 3}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a + 26. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -870 + 3485*f + 1736*f**2 + 1731*f**2 - 3487*f**2.\nAnswer: -5*(f - 174)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 2\/282299, 14.9 in descending order.\nAnswer: 14.9, 2\/282299, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 2\/15, 23, -4, 2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2979300411?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 713421019 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*h + h**2 - 4 - 31*h)*(0*h**2 + 4*h**2 - 2*h**2).\nAnswer: 2*h**4 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883044065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53 - -1) + 56 + -76 + -7 + 5 + 16.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 19782.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3075*k**3 - 76270*k**2 + 59288*k - 192.\nAnswer: (k - 24)*(5*k - 4)*(615*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.65 greater than 49005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1000*l = -9*l - 3865 - 15524 - 5386 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 - 9*y + 1. Is r(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(21)\/sqrt(3) + -2 + sqrt(35)\/sqrt(5))*-2 + 1.\nAnswer: -4*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 817478038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + 1110342?\nAnswer: 1110322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3357*o - 150. Let a be h(-5). List the prime factors of 3\/(-15*(-3)\/a).\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12287.10732 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 2, i: 2, x: 1, w: 2}. What is prob of sequence xw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 74201578 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 559 - 558. Calculate the remainder when 76 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**3 - 2318*q**2 + 668150*q + 2025366 = 0?\nAnswer: -3, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 12, -3*h + 8*h - 1 - 14 = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**3\/3 + 9*q**2\/2 - 10*q - 1. Factor k(l).\nAnswer: (l - 1)*(l + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + (sqrt(171) - 4*sqrt(171)*-2) + 5)**2.\nAnswer: 486*sqrt(19) + 13934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13740611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 205*v + 2. Let m be f(1). Suppose 0 = 2*h - u - m, 3*h + 2*u = 6*h - 313. What is the remainder when h is divided by 9\/6*-2 - -29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1269 - 760. Let h = w + -512. Let l = 0.3 + -0.5. Which is the closest to -0.04? (a) 1 (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 8:11 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-74)\/(-8) - (-1)\/(-4). Suppose a*n - 34 = 11. Suppose -5*v + 286 - 60 = 3*k, v = n*k + 34. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -937 + -10238?\nAnswer: -11175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xixixxixxixxxxxxxxxx. Give prob of sequence iiii.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-147)\/(-42924)*146*242?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2\/((-150)\/9))*(-1017)\/565\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1051)\/(-21) + -50 - (-3860)\/84?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2438435939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/2592 + -11183\/2592. Find the common denominator of -47\/22 and r.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20100 + -501?\nAnswer: -20601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from svddsvsdsdsvddddsds.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**2 - 4*t**2 + t**2 + (0*t + 3*t + t)*(-2*t + 3*t + t).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/67, -5, -2, -0.048?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u + 2*u + 11*u - 117 + 120. Let g(x) = 19*x. What is g(n(h))?\nAnswer: 285*h + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s - 31. What is g(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + 82d96e?\nAnswer: 82d978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 5. Let v(d) = 5*d**2 + 2*d - 1. Let b be v(x). Let r = -40 + b. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13143944 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**2 - 51*m - 73. Let p(t) = -t**2 + t - 3. Let f(x) = o(x) + p(x). Let f(z) = 0. What is z?\nAnswer: -19\/3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -j - 62, -5*r - 6*j + 92 = -2*j. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 18 = -2*i, 4*i = 3*h - 2*h. Which is smaller: -3\/77 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1938, -5, -27.\nAnswer: -27, -5, 1938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*c - 5 - 178*c + 73*c in the form r*c + f and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176881772?\nAnswer: 2, 44220443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -59*x. Let h(o) = -78*o**2. Determine h(n(q)).\nAnswer: -271518*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 122125 take away 1454?\nAnswer: 120671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 1, r: 1}. What is prob of sequence wk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k - 3. Let f(i) = 5*i**3 - i**2 + 18*i**3 + 3 + 2*i + 0 - 4. Is f(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(78\/60)*(27\/45 + (-248)\/80)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2465\/170 + -3 + 39\/6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2231, 3972, 5711, 7448?\nAnswer: 9183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -5, -1\/2, -0.9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-6 - (4 + -1)) - (0 + -8 + 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = 122*w - 116*w. Which is the third biggest value? (a) w (b) -0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 9*i - 20 = 0. Is -9\/2 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a + 64*a + 21*a - 107*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 0*x - x = 16, 2*z + x = -11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/17163106 and 57\/6578.\nAnswer: 2454324158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 24\/87754841?\nAnswer: 24\/87754841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 8*g**2. Suppose h = -3*h + 3*c + 2, -3*h + 3*c = 0. Let r(t) = -2*t + h*t**2 - t + 3*t. What is w(r(m))?\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 184.7 and 5.3216176928.\nAnswer: 190.0216176928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:41 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 8*t - 10. Let o be m(-9). Let h = 0 - o. Let a = 21 - h. Calculate the least common multiple of a and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(315)\/sqrt(5) + 3*sqrt(315)\/sqrt(5) + sqrt(63))\/(sqrt(81)\/(5*(sqrt(9)*2 + sqrt(9) + sqrt(9)))).\nAnswer: 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4263 = -50*t + 29*t. Does 25 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*o**2 + 21*o**2 - 107*o**2 - 106*o**2 - 87*o**2 to p*o + u + t*o**2 and give t.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + 23 - (-3 + 8 + 8 + 0).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 4*g - 42. Let x be n(-10). Let v = -102 - x. Solve v*f = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x = 329*x - 19472068. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -83, -127, -171?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 - 85. What is the second smallest value in -3, h, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*o - 112 = 0, 4*y - 5*o + 189 - 322 = 0. Sort -2, -14, y in increasing order.\nAnswer: -14, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144 + 144. Suppose g = -3*a + 2*p + 5 - 6, 0 = 4*a + 2*p - 22. Solve -a*b + 18 = 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 times 524?\nAnswer: -18340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*f**4 - 105*f**4 - 190*f**4 - 20*f**4)*(1 + 2 + 4).\nAnswer: -2954*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -104?\nAnswer: 41.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 h, and 1 j when three letters picked without replacement from {h: 3, s: 4, j: 8, k: 4}.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 - (-3 + 2 + -2) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93994984.\nAnswer: 2, 11749373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/4)\/(-1))\/(((-16)\/(-2))\/(-16))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3346*p - 663*p - 1467*p - 1902*p as k*p + f and give k.\nAnswer: -7378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 16 = -3*x. Suppose 4*j = 6*j - x. Suppose -9*d + 4*d = -15. Calculate the remainder when d is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -164513\/7 - -23503. Factor -22\/7*v + 6\/7*v**2 - w.\nAnswer: 2*(v - 4)*(3*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 123711468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3. Let o(a) = 12*a**3 + 3. Let g(b) = -49*b**3 - b**2 - 13. Let v(i) = 2*g(i) + 9*o(i). Give -6*h(n) - v(n).\nAnswer: -4*n**3 + 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r. Let z(l) = 75*l**3 + l**2. Let a be z(1). Let c = -73 + a. Let d(g) = g**2 + c*g**2 + g**2 - 10*g**2. Determine d(q(k)).\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (28\/(-21))\/((-2)\/60).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -8 + -2 - (5 - -21)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63494*g**2*s*x - 3*g**2*x**3 - 6*g**2*x**2 - 66*g**2 - 2*g*x**3 + 61*s*x**3 - 101*x**2 wrt s?\nAnswer: 63494*g**2*x + 61*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, b: 6, k: 1, f: 2, h: 2}. Give prob of picking 1 d and 1 b.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-39)\/(((-3)\/(-12))\/(13\/(-12))). Let x be (a\/(-4)*(-11 + 7))\/1. Suppose -5*u = -3*w + x + 5, -3*w + 174 = 2*u. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206966 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/5)*v)\/(v**(-2\/3)*v)*v**(1\/4)*v*v**(-6))**(-19) assuming v is positive.\nAnswer: v**(3971\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + 12601 - 154*x - 12601 + 2*x**3 in the form p*x**2 + b*x + q*x**3 + c and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 1, d: 3, u: 7}. Give prob of picking 1 n and 1 d.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311320312203201 - 3?\nAnswer: 311320312203132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2988 and 1155313188?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249 = 19*b + 211 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0794482601 rounded to six decimal places?\nAnswer: -0.079448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 7*v**2 - 8*v - 3. Let h be c(-8). Let p = 100.9452 - -0.0548. Let a = 100.8 - p. Sort h, 2\/3, a in descending order.\nAnswer: 2\/3, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7*z**(2\/19)*(z\/(z\/(z\/(z*z*z**1))))**(-18))**(-10\/9) assuming z is positive.\nAnswer: z**(-910\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1 - -3)\/(1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 + q**3 - 2*q**4 + (0 + 0 - 2)*(-q**4 + 2*q**3 - 2*q**3) + q**4 - 4*q**3 + 4*q**3 - 172*q - 18*q**4 + 172*q.\nAnswer: -17*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25433 - 25409. What is the greatest common divisor of p and 4888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g + 4*g - 2*g)*(2*g - 2 + 2 + 5 - 5 + 2*g - 2*g + 5*g - g + (-1 - 1 + 0)*(-4*g - 3*g + 6*g)).\nAnswer: -64*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 56*n**2 - 4*n - 20. Let t be b(-6). Suppose 17*z + t = 21*z. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 683 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/(-4))\/((-20)\/(-24) + -1). Let z = o + -17. Let p be 16\/12*(-18)\/(-12). Calculate the greatest common factor of p and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1173716, -2347432, -3521148?\nAnswer: -4694864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4959 - 4937. Let z(w) = 6*w**2 + 2*w + 1. What is the remainder when i is divided by z(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*4\/(-130))\/(43\/559).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 3*f - f + (-2 + 8 - 3)*(4*f - 2*f - 4*f) + f - 2 + 2 - 5*f + 5*f - f + (-1 - f + 1)*(-1 - 1 + 4) + 31*f - 13*f + f to g*f + r and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**2\/2 - 2*b + 7. Let x be f(3). Put -1, x, -5 in increasing order.\nAnswer: -5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -8*a**3 + 5*a**2 + 6. Let y(q) = -23*q**3 + 14*q**2 + 17. Let f be 10*1 + -4 + 0. What is f*y(o) - 17*n(o)?\nAnswer: -2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 955*i - 196. Is x(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.5521.\nAnswer: 2.7605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 8:52 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 17 = 2*g, 10 = -2*g + 2*v - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2168 + 2176. Let u = -1 + 5. Let p(j) = -j**2 - 4*j + 5. Let v be p(-5). Solve v*h = -u*h + g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, r: 2, x: 2}. Give prob of picking 1 x, 1 r, and 2 e.\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i + 2*i + 0*i + i**2 + 1 - 4*i. Let l be t(2). Find the common denominator of -50\/7 and 150\/l + 4 + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005891836 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40530 and 12159?\nAnswer: 121590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5177 - -5181. Which is the nearest to 0.5? (a) h (b) -7 (c) -2\/33 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56917090879 - -56916431253.00013. Let l = c - -659617. Let r = l - -9. Round r to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 25 - 10 - 2*w + 1 + 6. Let r be v(9). Solve r*i = 2*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 11:48 AM?\nAnswer: 284","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20259272 is divided by 124?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 28*v**2 - v + 4. Let b(w) = 85*w**2 - 3*w + 11. Let n(q) = 3*b(q) - 8*p(q). Let j be n(1). Solve 2*x - j = 4*i - 5, 15 = -5*i - x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -7, 363.7, 5\/3, -1\/8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4727*u + 3217*u - 93620 for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w - 2 - 3*w + 1 + 2. Let z(a) = 11*a - 8. Let m(h) = -4*h + 3. Let c(s) = 8*m(s) + 3*z(s). Give -4*c(f) + x(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 804.617 + -805. Let y = u + 0.423. Which is the closest to -0.2? (a) 0.4 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 1\/3*m**3 + 0*m**2 + 0*m + 2 + m**4. Find the third derivative of s(d) wrt d.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-4)\/60) + -1. Is (14 + f)*223\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.8266 * 891.\nAnswer: -3409.5006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c**(-2)*c*c)\/c)**(-1\/2))**(-11\/5)*(c\/c**(-2\/17)*c*c\/(c*c*c\/(c**(-5)*c)))**(3\/8) assuming c is positive.\nAnswer: c**(-121\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 6*m + 2032*m**2 - 4*m.\nAnswer: 2032*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = r + 7, -5*m + 5*r + 5 = -0. Which is the smallest value? (a) m (b) -1\/7 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a minute?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 2. Let q be b(0). Let y(l) = l**3 - 2*l**2 + 2*l - 3. Give y(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1248\/195)\/(-32))\/(13\/(-5)*-1)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597914391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -68.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1657275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 7*n + 5. Let k be b(6). Suppose 4*u = 5*l - 24, 2*l - 3*u - k = -0*l. Suppose 4*j - 496 = l*y, -4*j - j + 638 = y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - -49. Suppose k + 6 + 11 = -3*z, 15 = -5*k - z. Let a be (-6 + -18)*k\/2. What is the greatest common factor of a and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 6*s**2 - 18*s. Let g be d(-8). Suppose 20 + 60 = g*v. Suppose 0 = -v*k, 0*c = -c + 5*k + 1243. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, 5, 19, 37, 59, 85?\n\"Answer: 2*w**2 + 4*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.25*-34\nAnswer: 8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26280107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kppkkkp. What is prob of sequence kpkk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 14*b**2 + 13*b - 5. Let t be j(13). Sort 2, t, -4, 4 in decreasing order.\nAnswer: 4, 2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0)*(-1 + 3 - 1)*(-3 + 0 - 1)*(186*n**3 + 326*n**3 - 261*n**3) to the form b*n**2 + m + z*n + g*n**3 and give g.\nAnswer: -2008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 1, 352, -5 in descending order.\nAnswer: 352, 28, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 138\/65 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 23 = -4*h. Suppose m = 2*i + h, -3 = -m - 4*i + 10. Solve m = 2*n + n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*m**4 - 4 - 3 + 2*m + 143*m**4 - 103*m**3 - 61*m**4 + 0*m to t*m + i*m**2 + k + g*m**3 + v*m**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1430\/65)\/((10\/18)\/(7\/294*14)).\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60233?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p**3 - 24*p**2 + 24*p**2)*(-2*p + 3*p - 2*p + (-4 + 2 + 3)*(p - 5*p + 3*p) + (0 - 5 + 3)*(3*p - 3*p - 2*p) + 4*p - 3*p - 2*p - 4 + 4 + p).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.3 (c) 1.4 (d) 2809 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-297)*-18 - -18.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3899 - 487 = -129*i for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -17063*u**3 + 6*u**2 - 17*u + 8. Let h be o(8). What is h rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -779 and 42259.\nAnswer: -32919761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - (sqrt(243) + -1 + sqrt(243)))*5)**2 + sqrt(243) - ((-1 + sqrt(3267))**2 + 1).\nAnswer: -375*sqrt(3) + 2831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 6*w**2 + 6*w - 4. Let g(f) = -f + 5. Let j be g(1). Suppose j*h + 0*h = 20. Let c be m(h). Put -3, c, -4 in increasing order.\nAnswer: -4, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 214*s**2 + 2*s + 7. What are the prime factors of x(2)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 138755570 and -0.2.\nAnswer: 138755569.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118 - -105. Let k = -13.000182 - m. Round k to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c**2. Suppose 3*k - 3*y = -y + 7, 5*y + 20 = 5*k. What is g(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118130343071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7740*z + 526355. Determine g(-68).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 521 - ((-12)\/(-2) + -10). Let l = 3286 - c. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**2 + 41*h + 16. Let i = 919 - 926. Give m(i).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.0483 - 0.0483. Let d = 35 + -35. Let v = 0.7 + -0.3. What is the third biggest value in -0.05, v, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f. Let q(t) = -5*t - 5. Let b be q(-2). Let u = b - 2. Let p(r) = u*r**2 - 1741*r + 0*r**2 + 1741*r. Give l(p(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3*p + 0 - 2 + p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3669, -10, 11, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -4*d - 10. Suppose d*z + z = 0. Suppose -5 = 2*b - 5*k, z = 4*b - 2*k + 6*k - 60. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.54185 nanoseconds to seconds.\nAnswer: 0.00000000554185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 12:15 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 - 13 - 16 - 2 - 17 + 583*r in the form y*r + w and give y.\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 228209\nAnswer: 1369254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102175 + -200127\/2. Is y bigger than 2112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4079*z**4 + 7*z**2 - 4077*z**4 - 6 + 5 + 22 wrt z.\nAnswer: 8*z**3 + 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - c**2 - 149*c - 14. Is 3 a factor of p(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -7*o**6\/12 + 24*o**3 + 12*o**2 + 19*o. Differentiate v(w) wrt w.\nAnswer: -210*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(1375\/40)*(4270\/120 + -36)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000143557 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - d**2 - d - 12. Let t be i(0). Let q = 0 - t. Let h = -11 + q. Let u(w) = 4*w**2 + 1. Determine u(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 462 and 12672?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8619710?\nAnswer: 2, 5, 11, 23, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42019880 and 108150.\nAnswer: 630298200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 - 4*v**2 + 7*v**2)*(-13*v - 1350 + 1350)*(1 + 3 - 5).\nAnswer: 104*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-8)\/k)\/k)\/(k\/(k**2\/k)))\/(k**2\/(k\/(k**(-9)\/k))))**(-38\/3) assuming k is positive.\nAnswer: k**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 25*o**2 + 48*o + 18. Let t be b(-10). Let v(k) = 10*k**2 - 3*k + 4. Let p be v(4). What is the highest common divisor of t and p?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79*l**4*w - 2*l**2*w + 243*w - 2 wrt l.\nAnswer: -316*l**3*w - 4*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8482 plus 698?\nAnswer: 694.1518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 30.4 and -17.3742387.\nAnswer: 13.0257613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 29 = -0*p - 3*j, -p + 10 = 3*j. Let t = p + -10. Suppose t*f + 2*f - 111 = -4*d, -d + 45 = 2*f. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14988 is divided by 112?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -78, 7, 1.2, 8, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 138 = -19*j - 385, 0 = 3*j - 3*p + 39 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g = -3*b + 120, 5*b + g - 220 = 0. Suppose -3*y = 3*h - b, -y + 9 = h - 6*h. What are the prime factors of y*-2*(-9)\/12?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32432.062 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/99*(-21)\/(-42)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -4, 0.03, 0, -4\/7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express t + 239278*t**2 - 239306*t**2 - 2 + 0*t + t**3 as x + g*t**3 + j*t + z*t**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/1 - 124\/(-6). Let d(v) = v + 10. Let x be d(12). Let r = x - h. Sort r, 0.2, 4.\nAnswer: r, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2)**(-8\/13))**(2\/35)\/(f**8*f*(f**(-9)*f)\/f)**(3\/8) assuming f is positive.\nAnswer: f**(-32\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7880888, 0.13, 0.\nAnswer: 0, 0.13, 7880888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbi when three letters picked without replacement from qipgxbpg?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4051 rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 610391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -298*n - 5 + 2*n**2 + 2*n**2 + n**2 - n**2 + 300*n. Give p(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 45*z**2 - 2. Let b be c(2). Let y = b + -98. Let i be 4\/(-6) + 98\/3. What is the highest common divisor of y and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 62 + 103. Find y, given that -54*y + 6 + 179 + 3*y**2 + x - 107 = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703183 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + q**2 + q + 7. Let s be n(0). Let i = -18 + s. Let r = i + 16. Solve -5*p + 18 = 4*u - 3, 0 = u + p - r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 369, 363, 355, 345, 333?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/42)\/(-10) - (-5)\/(-875)*-89?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*f - 28 = 0, 14*f = 4*m + 16*f + 14. Are -1\/2535 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 9:26 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -299, -1067, -2355, -4169, -6515, -9399?\n\"Answer: -d**3 - 254*d**2 + d - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.677 + 3.677. Are -0.175 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1254 divide 250374046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) - (3 + (sqrt(432) - (4*sqrt(432) - sqrt(432)))**2).\nAnswer: -1731 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 24 = -7*l. Sort 5, -2, l.\nAnswer: l, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/30*(-3)\/14*2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 700*j + 3*j**2 + 359*j - 277*j.\nAnswer: 3*j**2 + 782*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x - 102 = 3*x. Put -31, 5, -4, x in decreasing order.\nAnswer: 5, x, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3228 - 7012 = -57*b + 7616. Solve 0 = -14*n - 11*n - b for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00037448 rounded to six dps?\nAnswer: 0.000374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355747390?\nAnswer: 2, 5, 35574739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5\/3 - 100*y**4\/3 + 544*y**3 - 8092*y**2\/3 - 9826*y\/3 = 0. Calculate y.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 k when three letters picked without replacement from {k: 3, i: 6, z: 1, h: 1, u: 1, v: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s - 136. Let i be z(-32). List the prime factors of (i\/((-32)\/1342))\/(2\/4).\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3149, -26345, -89319, -211961, -414161, -715809, -1136795?\nAnswer: -1697009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 360, 531, 702, 873, 1044?\nAnswer: 1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.55302 take away -48044924?\nAnswer: 48044932.55302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*v - 24 - 15. Suppose -d + v = -j - 4, -4*j = 8. Let u(f) = -f**3 + 4*f**2 + 7*f - 1. Give u(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + z - 91 = 0, -168*o + 170*o - z - 188 = 0. What is the greatest common divisor of 2046 and o?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 1. Let i(b) = -5*b + 1. Let u(a) = a**3 - 6*a**2 + 6*a - 4. Let p be u(5). Let v(d) = p*i(d) - 2*l(d). Determine v(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + v - 4*v**2 + 7*v**2 + v - 2*v**2.\nAnswer: 4*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-3.2625\nAnswer: -0.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -w + 4*w. Suppose 0 = -b + 2*y + 99, -2*b = b - w*y - 282. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -1 - 3. Suppose -4*z - h + 14 = 0. What is the units digit of z*4\/3 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23827 + 2*s**3 + 24*s - 24895 + 14134.\nAnswer: 2*s**3 + 24*s - 34588","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11739 and 819.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-7)\/(-77)*2). Solve 5*y + 10 = 5*q, -y + i = 4*q + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 60196881\nAnswer: -1\/60196881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -12*r + 1 - 1. Let a(f) be the first derivative of -1\/3*f**3 + 0*f**2 + 0*f + 19. Calculate w(a(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 14 - 2 = 0. Let u = 1 + 1. Let c(o) = -3*o - 60. Let z be c(-20). Sort u, g, z in descending order.\nAnswer: g, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 5:23 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(187\/(-3740))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - p**2 + 3. Let u be (60\/(-40))\/((-6)\/(-8)). Let z be c(u). What is the remainder when 119\/z - (-1 - -2) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 31. Let p be 20\/g - (-2)\/6. Let s(q) = 4*q - 4*q**2 - 5284 + 2591 + 2690 + 4*q**2 - q**2. Give s(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406983985 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 l(t) = -t**3 + 7*t**2 - 6*t - 3. Suppose -3*y + 20 = 2*i, 3*i = -2*y - 3*y + 33. Let h be l(y). What is the biggest value in 2\/9, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkki. Give prob of picking 2 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198709504?\nAnswer: 2, 7, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 1 + 4)*(-4*k + 0*k - k) + 9*k - k - 2*k + (1 + 0 + 1)*(0*k + 4*k - 2*k))*(-20 + 9 + 12) as l*k + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 0*c - 4 - 4*c + 5*c + 4 - 4. Let n(f) = 2*f**2. Give n(d(o)).\nAnswer: 2*o**2 - 16*o + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/7)\/(f\/(f**18\/f*f)) assuming f is positive.\nAnswer: f**(115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-11 + (-71)\/(-6)). Let z(y) = -y**3 + 14*y**2 - 24*y + 3. Determine z(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648*k**3 + 1414*k**3 - 765*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + q - 40 - 13 = 0, q + 22 = d. Let g(c) = 16*c + 6. Let p be g(9). What is the greatest common divisor of d and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z - 42. Let r(f) = -8*f + 39. Let i(y) = 5*r(y) + 4*s(y). Let u be i(6). Solve 3*j = -u*b, 2*b = -b + 4*j + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k + 31. Let s be r(-5). Let o = s + -7. Solve 0 = -o*t + 8 - 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/23, -137.8, 1\/2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19745586 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**2 + 0*r**2 - 10*r + 12 - 4*r**2. Let g be c(8). Let y be 27\/6 + g\/8. Solve 4*t - 4*l + 25 + 7 = 0, -17 = -t - y*l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 23*l**2 + 43*l - 18. Let z be c(21). Suppose z*o - 356 - 865 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 943 - 942. Let n = -17.35 + 17. Is p equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-21))\/((-162)\/3969)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 16*d + 17*d + 9 = 0, 5*u - 3*d + 7 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2158 = -1709. Does 28 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 42\/(-9))*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and 2.5.\nAnswer: -0.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 15, g: 3}. Give prob of picking 1 c and 1 g.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2017.6239 rounded to the nearest ten?\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -106? (a) -243 (b) -4 (c) -66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 288929230 rounded to the nearest one hundred thousand?\nAnswer: 288900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1\/2, 0.2, -116.52, -2, 65, 2\/3?\nAnswer: -116.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-10\/7)*j)\/((j**14\/j)\/j))\/(j**(-1\/10))**7 assuming j is positive.\nAnswer: j**(-821\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 3:17 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 24*i**3 - i**2 - i. Let h be y(-1). Let n = 0.74425 + -0.74425. Sort 0.3, n, -3\/4, h.\nAnswer: h, -3\/4, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 2*m + 1. Let d be f(-2). Suppose -3*s = g - 5, -7 = -2*g + 4*s - 7*s. Suppose -t - b + d = g, -5*t = -5*b - 85. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/11 (b) 4 (c) -4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12909.3708 + -12904. What is w rounded to 1 decimal place?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22283 is divided by 2227.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 46*q**2 + 9*q + 18. Suppose 0 = -10*j + 7*j - 15. Is a(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 - -1210102?\nAnswer: 1201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -82, -112, -176, -286?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 - -5?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238296 and 1800?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 373 = 50. List the prime factors of p.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 32*j + 144. Let g be c(-15). Suppose -2*k + 26 = -12. What is the remainder when k is divided by (-3)\/(-2)*g\/(-72)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2\/(-32)*(14 + -12)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**2 + 4*l**2 - 8*l**3 - 931 + 934 as i*l + g + b*l**2 + w*l**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 3*n**2\/2 + 14*n + 55. Let r be p(-3). Solve -5*f = i - 1, -2*f - 19 = -f + r*i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2617 is divided by 164?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**3 - 12*h**2 + 14*h + 4. Let i(k) = -k**3 + k**2 - k. Let n be (-4068)\/(-2373)*(-7)\/1. Determine n*i(x) - u(x).\nAnswer: 4*x**3 - 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4939255091 to the power of 1\/4, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -328 + 328. Suppose -7*l + 5*t = -3*l - 533, -4*l - t + 527 = o. What is the remainder when l is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(1*sqrt(99)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 127 - 133. Let s(z) = -z**2 - 5*z + 6. Let p be s(d). Let r(u) = 3*u - 5. Let v(x) = x - 2. Let i(c) = 2*r(c) - 7*v(c). Give i(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-360))\/((12\/8)\/((-30)\/(-24)))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119433, 239160, 358887, 478614?\nAnswer: 598341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - -0.1. Let u = -9058 + 9056. Let n(k) = k**3 - 3*k**2 + 2*k - 4. Let v be n(3). Which is the closest to -2\/3? (a) u (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2249 - -2275. Solve 0 = 2*h + 4*o - v, 0 = 4*h - 3*o - 3 - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100688 a multiple of 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110062 and 678.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11210255 - 2?\nAnswer: -11210260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -9*u**4 - 21*u**2 - 5. Let k(p) = -9*p**4 - 22*p**2 - 4. Let a(v) = 4*d(v) - 5*k(v). Find the third derivative of a(o) wrt o.\nAnswer: 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 8*c**2 + 9*c + 9. Let j be s(-9). What is the highest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 - ((-2 - -4) + -5) - (157 - 144)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 1. Calculate the remainder when 108 is divided by i(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 199 = i, 5*w + 39 - 509 = 3*i. Find the first derivative of 191*p - w - 48*p**2 - 191*p - p**3 + 2*p**3 wrt p.\nAnswer: 3*p**2 - 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -19 (c) 1\/2 (d) 2\/11 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2594, -2599, -2608, -2621?\nAnswer: -2638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.6075 + -19.7. Let g = n + -0.7445. What is g rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -22. Suppose i = 2*v - 32. Suppose 3*j - 5*m = 66, -j + 3*j - 4*m - 42 = 0. Calculate the greatest common factor of j and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 630\/39 + 12\/(-78). Solve -3*v + t = 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2520*v + 264 = -2487*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11\/48 + -7\/16. Put 4, 0.01, 0, k in decreasing order.\nAnswer: 4, 0.01, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/120 and -43\/54.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + 4 + -4 - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 7*u**2 + 15*u + 9. Determine x(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7900)\/(-3))\/(-20)*154\/770?\nAnswer: -79\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - 6. Let b(t) = -t**2 - 17*t + 21. Let l be b(n). Differentiate -l + 0 + 10*s**3 - 2*s**3 + 0 with respect to s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 1)*(-2*j - j + 5*j)*(0 + 1 + 0).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 2*j**2 - 9 - j + 17 + 14*j**3 - j**4 + 14 to s + t*j + v*j**4 + h*j**2 + o*j**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1983?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387041 = -82*k + 33537. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5 + 2240\/4900?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = 3, 0 = -5*q + 2*i + 17. Solve 4*b + 0*b + 20 = -q*v, -v + b = 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/4)\/(9\/(-3024) + 0) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66724 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1) + 0\/(-15). Let a(q) be the first derivative of -23 + 0*q**3 - 5\/2*q**4 + 25\/2*q**2 + g*q. Find the second derivative of a(n) wrt n.\nAnswer: -60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -290287, 1, 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 942765997 to the power of 1\/3, to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.037 + -63.037. Let g = -1.2 + 0.2. Is a bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.484, 1.9, -4\/9, -2.5 in increasing order.\nAnswer: -2.5, -4\/9, 0.484, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -74, -406, -960, -1736, -2734, -3954?\n\"Answer: -111*g**2 + g + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmmrwn. Give prob of picking 1 n and 1 w.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13193\/1452 - -282\/121. Let m = b - 47\/4. Let k = m - -1. What is the nearest to 3 in -0.2, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -230 + -1?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j - 49. Let b be f(-12). Suppose 6*m = b*m - 740. List the prime factors of m.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 13, r: 3}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 14*n + 12 = 10*n, -5*z + 30 = -2*n. What is the greatest common divisor of 21 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00771829149 rounded to 6 dps?\nAnswer: -0.007718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - -1*sqrt(170)*-1) + -2*(sqrt(170) + -1*sqrt(170)))\/((sqrt(360) - -1*sqrt(360))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 15 = 13*y. Suppose -y*t + 190 = 205. Sort 0, t, 2, 1 in descending order.\nAnswer: 2, 1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5362249*l. Let n(j) = 2*j. Give v(n(u)).\nAnswer: -10724498*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 846, 3261, 7292, 12945, 20226, 29141?\nAnswer: 39696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 - -88. What is the highest common factor of w and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -5*i**4\/4 + 10*i**3 - 20*i**2 - 10. Factor w(j).\nAnswer: -5*j*(j - 4)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3893962 + 76.13966?\nAnswer: -3893885.86034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 8:27 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 10*b - 1. Let i(q) = q**2 + 5*q - 1. Let f be i(-4). Let p be d(f). Let h = 81 - p. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l + 4*l = -58. Let f(b) = 9*b**3 - b - 7. Calculate the smallest common multiple of 36 and f(l).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + 2 + -12 + 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10446381 and 270.\nAnswer: 104463810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 2)*(-1 + 1 + h)*(-46 - 8*h + 19 + 19).\nAnswer: 56*h**2 + 56*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/9 and 61\/1089?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 3*l - 5*o - 38057, -3*o + 15 = 0. Suppose -83*r = -85*r + 4*d + l, -5*r + 3*d = -31756. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470*n + 475*n - 510 = 0. List the prime factors of n.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1462, 5 in descending order.\nAnswer: 1462, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 - -79. Suppose 2*v + 5*x = 4*v + 11, -5*v + x = -30. Let u = a - v. Calculate the remainder when 4 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164764261?\nAnswer: 43, 3831727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 11*n + 18. Let a be l(13). Let b = 9 - a. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3))\/((-11)\/52833). Let y = w - 728. List the prime factors of y.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -3, 12, 186, 2 in ascending order.\nAnswer: -5, -3, -2, 2, 12, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127352011*d**3*l**2 - 76029*d**2*l**2 - 188*d*l**2 wrt d.\nAnswer: -764112066*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2361 - -3?\nAnswer: -235a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-14)*-231*(-14)\/14322\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -v - 191, 7*v - 49 = 2157*j - 2156*j for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -478, -980, -1482, -1984, -2486, -2988?\nAnswer: -3490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/28 - 9240\/(-480)?\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 - 313*j - 577. Determine b(106).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2722884?\nAnswer: 2, 3, 226907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -2 + 3)\/(-2). Let t = 197 - 193. Sort -2, a, t in descending order.\nAnswer: t, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12883896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjjbdjj. What is prob of sequence db?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-3))**35*(x*x*x\/(x\/((x*(x**(-15)\/x*x)\/x)\/x*x)))\/(x*x**(-11)) assuming x is positive.\nAnswer: x**137","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**4 + 1 - 1 + (30*t**2 - 43*t**2 - 71*t**2)*(t**2 + 3*t**2 - t**2) + 4*t**4 - t**4 - 5*t**4 + (-t**2 + 5*t**2 - 2*t**2)*(-5*t**2 + 0*t**2 + 3*t**2).\nAnswer: -263*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2. Let z(v) = 11*v - 13. Let p(m) = 2*m. Let q(t) = 6*p(t) - z(t). Give g(q(i)).\nAnswer: 4*i**2 + 104*i + 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/270 and 71\/1660?\nAnswer: 44820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/36*(-12)\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**6\/120 - i**5\/10 + i**4\/8 - 5*i**2. Let r be m(-7). Let t = 25 - r. What is the biggest value in -8, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 13)\/((-10)\/4615). Let v = 335955\/52 + c. Let y = -1\/13 - v. Which is smaller: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2123.\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 233892*b**3*k**3*w + 159*b**3*k**3 - 22*b**3 - b**2*k**3 + 280*b**2 + 49*b*k**3*w wrt w?\nAnswer: 233892*b**3*k**3 + 49*b*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10*o + 792 = 0. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1150 and 6095?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40e4c8 (base 16) in base 7?\nAnswer: 51102021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (10\/25)\/((-2)\/30)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/288 and 95\/4576.\nAnswer: 41184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(17) + (sqrt(833) - sqrt(833)*1)**2 + 1 + 1 + sqrt(17).\nAnswer: 2 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -5*u - 430 + 403, -5*u - 20 = -5*o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (90 - -14)\/(7\/714).\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 2:16 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21b433 (base 13) to base 4.\nAnswer: -3002112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {x: 1, q: 2, g: 1, o: 1, u: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 12316517423.61?\nAnswer: -12316517423.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c*c\/c**(2\/13))\/c*c)\/c)\/(c*c**(3\/14)) assuming c is positive.\nAnswer: c**(115\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 2*j = 2*p + 19, 4*p - 6 = 3*j. Let -60*u**2 - u**3 - u**4 + 34*u - p*u**4 + 7*u**3 + 30*u**3 - 6*u = 0. Calculate u.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by (34\/18)\/(218\/1962).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2 - 2*l. Let c(s) be the first derivative of -s**3\/3 + s**2\/2 + 1. Let z(v) = b(v) + 4*c(v). What is the second derivative of z(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + z + 26*z**3 - 1 - 35*z**3.\nAnswer: -9*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 11*c**2 - 27*c + 1. Let h(t) = 9*t**2 - 26*t + 1. Give 6*h(a) - 5*s(a).\nAnswer: -a**2 - 21*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11765188?\nAnswer: 2, 2941297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 137*k**5\/60 + 5*k**4\/24 + 167*k**3 - 1090*k**2. What is the derivative of i(x) wrt x?\nAnswer: 274*x + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1574971.484 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3183 equal to -448859\/141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 367*n**2 + 0.\nAnswer: 367*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -237 + 237. Solve -p = -t*p + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*g + 24. Suppose 3*w = g + 23. Solve 0 = -3*c - w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxjxxxjxx. Give prob of picking 2 x.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 102*x - 100*x - 18 = 0, -2*x + 21 = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/19 smaller than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/17664 and 115\/384.\nAnswer: 17664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145900874 divided by -5.\nAnswer: 145900874\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 111201 (base 8) to base 2\nAnswer: 1001001010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1089, -1034, -989, -954?\n\"Answer: -5*o**2 + 70*o - 1154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*q**2 + 2 - 2.\nAnswer: 87*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 131?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3854, -15345, -34492, -61289, -95730?\nAnswer: -137809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**2\/2 + 552. Let c(b) = -50*b**2. What is c(v(m))?\nAnswer: -50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s - 150. Let o be s\/(-6 - -3 - -1). Let w = -31 + o. Calculate the greatest common divisor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i - 4 + 50 = 0. What are the prime factors of i*9\/81 - 4129\/(-9)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9200 + 12991. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0289*-3.\nAnswer: -0.0867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2072, -4 in increasing order.\nAnswer: -4, 2, 2072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12145850 and 9262.\nAnswer: 133604350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 49*u + 124. What is the ten thousands digit of h(-65)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -97. Is d at most as big as -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -772 - -871. Calculate the remainder when b is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {f: 1, g: 1, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.3227 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2159 and 8279?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2dc82 (base 14) in base 12?\nAnswer: -5664a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -10. Let l(o) = v*o - 13 + 31 - 17. What is the units digit of l(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 + -86.3. Let y = 14 - 15. What is the third smallest value in p, -2\/9, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46208\/5 + 4864*c + 4\/5*c**3 + 616\/5*c**2 = 0. What is c?\nAnswer: -76, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -9. Let q = 14 - j. Find the second derivative of 6*p + 3*p - 2*p**2 + p - q*p wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -21*x**2 - 2*x. Suppose 25*f = 29*f - 2328. Suppose 4*o - f = -38. Let a(b) = 64*b**2 + 71*b**2 - o*b**2. Give i(a(z)).\nAnswer: -21*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 50. Let g(q) be the third derivative of 0*q**4 + 0*q + 1\/60*q**5 + 0 + r*q**2 - 1\/3*q**3. Calculate g(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 494011280 and 261520?\nAnswer: 494011280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from htvuudvvvd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g. Let v(n) = 451*n - 363. Let k(p) = 15*p - 12. Suppose -3*m + 351 = 3*x, 2*x + 87 + 284 = 3*m. Let l(f) = m*k(f) - 4*v(f). What is l(h(c))?\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**4)\/g**(6\/5)*(g**0)**(-41))\/(((g**(-2)*g)\/g)\/(g*g\/g**(1\/2))*((g*g**(-2\/5))\/g*g)**(-18\/7)) assuming g is positive.\nAnswer: g**(59\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 599773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9.51162 or -2\/19?\nAnswer: -9.51162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 15873331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3262352 is divided by 660.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 607 (base 9) to base 4\nAnswer: 13231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + (-4 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 d when three letters picked without replacement from {k: 10, d: 8, n: 1}?\nAnswer: 280\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20801 divided by -11\nAnswer: -1891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396696.\nAnswer: 2, 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 9*z + 5047. Let k = z + 2874. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 2:58 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 51*8\/(-72) - 4\/(-6). Let m(n) = -n**2 + n + 4. Let y be m(j). Let c = -3126 - y. Round c to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 30*k**2 + 216*k - 80. Let v be n(-14). What is the greatest common divisor of v and 544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2546*a = 2165*a + 1143 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 3)*(0 - 9\/(-18)). Solve -b - 5*a + 18 = w, 0 = -0*a + 5*a - 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.954, 3\/2, -1, 289?\nAnswer: 0.954","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 3\/((-6)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9841494 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 378461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 197.99999813 + -198. What is m rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 8. Let b(k) be the third derivative of 1\/24*k**4 + 7*k**2 + 0*k + 7\/6*k**3 + 0. Let z(h) = 7*b(h) - 6*i(h). Calculate z(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 808 and 5056.\nAnswer: 4085248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -117, -403, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-35)*10)\/(2\/4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -11 + 5 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -38, -101, -220, -413?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1522 = 102*i - 105*i, -1507 = 3*i - 2*t. Is -499 equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**2\/5 - 71187796*n\/5 - 71187798\/5 = 0.\nAnswer: -1, 35593899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -54.1787.\nAnswer: -10.83574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10360*f**2 + 18*f + 8361. Let o(s) = -2590*s**2 - 4*s - 2091. Let i(n) = -9*o(n) - 2*p(n). Find the first derivative of i(h) wrt h.\nAnswer: 5180*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*t**3 + 4*t - 177.\nAnswer: 99*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 116\/19 + (6 - 9 - 3). Let f = 2 - 4. What is the smallest value in -0.2, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*f = 276*f - 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1307.\nAnswer: 3\/1307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -1. Calculate the least common multiple of (1 - 0)\/((-8)\/(-8)) and -3*3*4\/h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v**2 - 6*v - 5. Let q(z) = -5*z**2 - 6*z - 5. Let m(l) = 4*b(l) - 5*q(l). Let i be (-6)\/(-5)*(-10)\/(-3). Suppose 0 + i = -t. What is m(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 144140 + 1431?\nAnswer: 201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69633017?\nAnswer: 709, 98213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlz. Give prob of sequence lvz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 169*x**3\/3 - 5200*x**2\/3 - 6041*x - 4998 = 0. What is x?\nAnswer: -21\/13, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {c: 7, w: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 4, 2283.8 in ascending order.\nAnswer: -30, 4, 2283.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -22 (b) -3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(36\/9848) + -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 3*u + 3*u)*(3 - 1 - 18).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 + 11*r**2 + 57*r**2 + 0*r**3 + 31*r**2 + 2*r**4 - r**4 - 3 to the form i*r**2 + a*r**4 + u + s*r + m*r**3 and give i.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107799, -215608, -323417, -431226, -539035?\nAnswer: -646844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2 - 1. Let n be ((-77)\/3)\/11 + (-1)\/(-3). Let y(o) = -2*o**2. Give n*w(f) - 6*y(f).\nAnswer: 4*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -4076?\nAnswer: 4074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3\/2 - 75*s**2 + 2400*s + 32000 = 0. Calculate s.\nAnswer: -10, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = 29*k - 25*k + 48, 4*k + 12*u - 12*u + 15 + 42 = u for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16187587*z**4 - 3364097 wrt z?\nAnswer: 64750348*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 33*n - 12. Let u be m(17). Suppose -b + u*y = 17, 7*b = 10*b + 5*y - 49. Calculate the greatest common factor of b and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 39194, 39189, 39182, 39173?\n\"Answer: -g**2 - 2*g + 39197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 870687\nAnswer: 174137.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10.30716 times 33\nAnswer: -340.13628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**4\/2 - h**3\/2 + 3*h**2\/2 + 5*h. Suppose i(t) = 0. What is t?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47878428 + -1351382\nAnswer: -49229810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 6:36 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/10, 0.4, -3\/5, 0.821, 0, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (8 - 2 - 3) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8148 and 9217716?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 39.78. Let u = q + 0.8. Round u to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29104.94 + -29119. Is 0 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*y + 7 - 46 + 11*y wrt y.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -156.872 and -0.3.\nAnswer: 47.0616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -128*w**2 + 1132 - 116*w**2 + 0*w + 0*w + 247*w**2 in the form q*w + x + g*w**2 and give x.\nAnswer: 1132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*f - 17, 5*p = 4*p - 4*f. Suppose 5*t - 5*x - 160 = 0, 0*t = 3*t + p*x - 75. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 0 + 1\/10*z**5 + 0*z**2 - 3*z + 0*z**3 + 1\/12*z**4. Find the third derivative of b(u) wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 935 + 376 + 1972*u**4 - 309 + 2*u**2 - 2201*u**4 wrt u?\nAnswer: -916*u**3 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52187628 and -2?\nAnswer: -104375256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5371536 and 240828?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*k + 42. Sort k, 2, -2 in ascending order.\nAnswer: -2, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*a**3 + 8*a**3 + 278*a**3.\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1974, -6334, -10694, -15054?\nAnswer: -19414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6998?\nAnswer: 2, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (16 + -11 - 14 - -17) - -5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-10)\/m)\/m*m*m)\/m**2)\/(m\/((m**1\/m)\/m*m)*m)**(-31))**(-3\/26) assuming m is positive.\nAnswer: m**(-75\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*434\/(-4123)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1 + x)*(-5 + 10 + 30).\nAnswer: 35*x - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by -9.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 equal to 77032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*z + 5. Is 14\/21 - 109\/z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1610 + 1610 + 1615 - 6464 + 1629 - 33*s.\nAnswer: -33*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 4 - (13 - -2). Let d = 15 + k. Solve 0 = d*x - 5*s + 2, -7*s - 2 = -5*x - 4*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 663 - 793. Let c = -130.1 - n. Do 162 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 5:18 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6567247859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-24) - (-9195)\/(-450) - -20\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31952388 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*s - 3*j, -20 = -s + 3*j + j. Calculate the smallest common multiple of s and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217168?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2162\/9 + -240. Let m = -80 - -77. Which is the third biggest value? (a) m (b) r (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 14050*v**2 - 3*v + 14029*v**2.\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3144\/7 - -450. Suppose -8*p = -3*p + 10. Let s = p - -3. Which is greater: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from {o: 7, d: 6, s: 1, g: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2 - 9*k - k**3 + 2*k**3 - 2*k**3 - 9*k**2. Let a = -110 + 102. What is the least common multiple of 5 and l(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/7 + 456*d**3\/7 - 35388*d**2\/7 + 1071144*d\/7 - 11035602\/7.\nAnswer: -2*(d - 87)**2*(d - 27)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 22. Let s be f(17). Let k be (((-20)\/8)\/s)\/1*22. Suppose k*q = 2*q + 36. Solve -q*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.7 - -4.95. Let a = -5.75 - t. Put -0.1, -1\/7, a, 10 in descending order.\nAnswer: 10, -0.1, -1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1076 and -11\/280.\nAnswer: 75320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16290076 and 7404580?\nAnswer: 81450380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Suppose -f - 2*f + 122 = t*r, 118 = 3*f + r. Let l = 58 - f. Solve 0*o - 3*o = 4*s - 26, -5*o + l = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 78, 117, 154?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/(-126) + (-310)\/(-18). Calculate the remainder when 1241\/l + (-10)\/2 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 559, 1110, 1649, 2170, 2667, 3134, 3565, 3954?\n\"Answer: -x**3 + 558*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 3:57 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 227216767*f + 804020013?\nAnswer: 227216767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001073315 to seven decimal places.\nAnswer: -0.0001073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110020 + -100112?\nAnswer: -210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2830968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 822 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 312 + -244. Calculate the remainder when h is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 185362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 325418273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74 - (-828)\/(-12)) + 52\/(-17) + -2.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t. Let z(q) be the second derivative of q**3\/3 - q**2\/2 + 5*q. Determine -8*p(d) + 3*z(d).\nAnswer: -2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d. Let b(i) be the first derivative of 246*i**3 - 245. Give o(b(s)).\nAnswer: -738*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -43 + (16 - (9 - 0)) - -11\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 215*y - 219*y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/r**(-9\/4))\/r)*r**(-1\/3))**16\/((r**(5\/4)*r*r**2)\/(r\/r**(2\/3))**(5\/14)) assuming r is positive.\nAnswer: r**(-825\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2716063 is divided by 1705.\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 4. Let z be m(6). Let j be z*1\/(-4)*6. Let c(r) = r**2 - r - 4. Let s(i) = i**2 - i - 5. Let v(y) = j*s(y) + 4*c(y). Give v(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20674143 less than -20674144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-72)\/45)\/(4\/(-50)). Let p = l + -8. Let m be (-1*p)\/(27\/(-450)). Calculate the greatest common factor of m and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49917865*k**3 - 3347131*k**2 + 1?\nAnswer: -299507190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 2. Let n(w) = 3*w - 5. Let k(a) = 2*a**2 + 13*a + 31. Let x = -69 + 65. Let m be k(x). Calculate m*t(h) + 4*n(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -6*t**2 + 43*t**2 - 138*t**3 - 3*t**2 + 2*t**2 - 21*t**5 + 24*t + 99*t**4 = 0?\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/2, 5, -1\/4, -26, 4.8 in decreasing order.\nAnswer: 5, 4.8, -1\/4, -1\/2, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 686.52 to the nearest ten.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139762 by 469.\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 33\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1875*k - 2070*k + 3457*k + (2*k + k - 4*k)*(4 + 0 - 3) in the form a + y*k and give y.\nAnswer: 3261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -4\/7 (c) 2\/7 (d) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3002001 + 102?\nAnswer: -3001233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 212116, 212117, 212118, 212119?\n\"Answer: u + 212115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) 4 (b) -2\/9 (c) -25275 (d) 1\/4 (e) 2 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from xexexexxxx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2. Let y be r(-2). Suppose 0 = -5*g + 5, 0 = -4*v + y*g - 6*g + 10. Suppose -18 = 40*m - 43*m. Solve v*b + m = 2*t, 4*b = 2*t + t - 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(((-5)\/(-30))\/((1056\/(-99))\/32))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -1)*(-16)\/10056. Let l = f - -852\/2933. What is the third biggest value in -4, l, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5449428, -10898857, -16348286, -21797715, -27247144, -32696573?\nAnswer: -38146002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-126)\/(-33) + (-4)\/(-22). Suppose -108 + 8 = -g*o. What is the remainder when o is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001188261964 to six decimal places.\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(-2)*i)\/i)\/(i\/(i*i**(-2\/5)\/i)))\/(((i\/i**5)\/i*i)\/i*i\/(i\/i**(19\/3))))**3 assuming i is positive.\nAnswer: i**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/315 and -24\/2345?\nAnswer: 21105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 7 = -3*b, 5*b = -2*q + 16 + 1. Let d = -225 + 2923\/13. What is the second biggest value in -13, d, b, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6043\/19 or -1.08?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 205, 4, 5797, 1, -5 in ascending order.\nAnswer: -5, -1, 1, 4, 205, 5797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135\/847 + 2\/121. Let d = -11\/21 + j. Is d equal to -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + v - 3. Let r be c(0). Let q be r\/((-2)\/((-3)\/(6\/4))). Let b be (-14)\/10 + (-2)\/(-5). Sort -4, q, b in descending order.\nAnswer: b, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 97.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -4. Let f(k) be the first derivative of -8*k**2 - k + 2. What is the tens digit of f(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12898 to three dps.\nAnswer: 0.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -93. What is the remainder when d is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g. Suppose g*t - 8 = -4*t. Solve 9 = t*o + o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 70*y**2 + 885*y - 3150.\nAnswer: -5*(y - 21)*(y - 3)*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 6*z = -5*r + 4, -r - z = 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 8, 3, 0, -1 in descending order.\nAnswer: 8, 3, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 5345990.\nAnswer: 32075940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.4 + -3.446. Let x = 0.045881 + i. What is x rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(40\/(-5))\/(-8). Suppose 2*x - 3 = 3*x, f*x + 2175 = 5*c. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149745014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -8. Let n be 13\/5 - (-2)\/x. Which is bigger: n or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.7 (b) 3\/2 (c) -87 (d) 2\/13 (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**2 - 1696*g + 1700 = 0. Calculate g.\nAnswer: -425, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 717635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3702944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11 + 0.21. Let i = f - -0.22. Let l = i - 0.34. Round l to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000108099916 to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 8 + (-2 - (2 + -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 55\/10 + (-2)\/4. Suppose -5*x + 272 = o*g - g, -g = 4*x - 222. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 23. What is u(-7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 3, x: 9, t: 2, w: 3}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1727244 to the nearest integer?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49360 and 0.057.\nAnswer: 2813.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 1:31 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**3 - b**3 + 4*b**3 + (-17 + 17 + 3*b**2)*(-b + b - b) in the form g*b**2 + j + l*b + r*b**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 11:52 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1352 divide 19671600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 12, z: 3}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310 and 1134670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 12 + 12 - (-78 - (-28 + 1)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39 and 10.45.\nAnswer: 407.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*3*(1*(-1 + sqrt(891)) - -1*(sqrt(891) + sqrt(891)*2)).\nAnswer: -18 + 648*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + -34 - 6 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3667659 divided by -1222553.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 156871.3 and -2.262?\nAnswer: 156873.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350022540 divided by -3333548.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (841 - 513 - 439)*(-2*k**5 - 2*k**4 + 2*k**4) + (3*k + k - 3*k)*(-2*k**4 + 5*k**4 - 5*k**4).\nAnswer: 220*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2582 - -62 - (-16)\/2. Suppose -5*v = -2*f - l - 797, 3439 = 5*v + 3*f. List the prime factors of v.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57, 217, 483, 855, 1333, 1917, 2607?\n\"Answer: 53*l**2 + l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 255*j - 9953. Determine b(39).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*k = -1679 - 3304, 0 = -2*l - 2*k + 3324. What is the derivative of -l*p - 10 + 1665*p - 24*p**2 wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - 5. Let h = v - -16.052. What is h rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 580544?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -1*sqrt(637) + sqrt(637)*-2 + -3 + sqrt(637) + sqrt(637) - (-1 + sqrt(637) + 4 + -1)) + 3 + -5)**2.\nAnswer: 308*sqrt(13) + 2669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 4:30 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 2\/9 (c) -2\/15 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45490 is divided by 7570?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/20 + 7*s**4\/12 - 2*s**3\/3 + 3*s**2. What are the prime factors of b(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 48 = 4*a. Let c(j) = -j**2 + 7*j + 45. Suppose 12*l + 55 = 17*l. Let o be c(l). Is a bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 10:40 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) - 28\/(-6). Let i = 0 + q. Does 5 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + -8 + (-79 - (12 + (6 - 9))).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5260207452 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 h(z) = 2*z**2 + 13*z - 11. Let i(f) = -f**2 - 7*f + 6. Let m(q) = -6*h(q) - 11*i(q). Suppose -4*s = 2*w + 4, s = 3*s + 2. Give m(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 9*m**2 + m - 5. What is the units digit of x(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2047311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**9\/4536 - 11*a**8\/2520 - a**7\/36 - 5*a**6\/108 + 17*a**3 + 30. Let s(o) be the third derivative of c(o). Factor s(k).\nAnswer: -2*k**2*(k + 1)*(k + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 7*d = -l + 4 - 1, 5*d - 12 = -l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 23483.13 nanometers?\nAnswer: 0.00000002348313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 f, and 1 x when three letters picked without replacement from {k: 2, f: 2, x: 2, m: 1, w: 3, v: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 378673251?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.06955 and 6238.\nAnswer: 6237.93045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -20*m + 84. Is m\/14 + -7 + 14178\/42 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2041*q + 8. Let z(j) = -87761*j - 342. Calculate 171*i(f) + 4*z(f).\nAnswer: -2033*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -141838\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 14*k**2 - 13*k - 2. Let s be w(-13). Let j be s\/4 + 1\/2. Solve j = -5*a - 18 - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 27 + 13 = 0. Let b be (h\/(-10))\/((-2)\/5). What are the prime factors of -4*((-2)\/(-20))\/(b\/(-215))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1087 and 0.024.\nAnswer: 0.0026088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2\/29, 83189\/3?\nAnswer: 83189\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15897, -15922, -15939, -15942, -15925, -15882?\n\"Answer: a**3 - 2*a**2 - 26*a - 15870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -58 in decreasing order.\nAnswer: 1, -2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -o**4 + 22*o + 23. Let t(n) = -13*n**3 + 67. Let y(m) = -7*f(m) + 2*t(m). Differentiate y(z) wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005400331 rounded to 6 dps?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1593, -6278, -14079, -24996, -39029, -56178, -76443?\nAnswer: -99824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21854 divided by 10927.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - (7 + (-2 - (24 - -4)) + 12).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**3 + 2*y**2 - 2*y + 1. Let q be i(1). Let c = q + -3. Suppose 5*j = c*j + 3. Solve 0 = -x - 0 - j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8835 + 2f?\nAnswer: 8864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + 3 - 6) + (2 - -5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 62. Suppose 10 = 5*j, j - o = -3*i - 0*j. Is (i\/(-5))\/(6\/(-435)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 60528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from luuuliluuiuuuulluuu.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(117)*4 - sqrt(117))**2.\nAnswer: -17550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 6*a + 10. Let s be h(7). Suppose s = -5*f + 8. Which is smaller: -3\/73 or f?\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-4) + 1\/(-4). Let c(k) be the second derivative of -2\/3*k**3 - k - 1\/12*k**4 - 3\/2*k**2 + 0. Give c(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6 + 22\/(-48). Let o be (2 + 3\/(-6))*(-130)\/(-15). Let w be ((-2)\/(-6))\/(o\/(-39)). Does w = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 0*c + 4*c + 10. Let g be i(7). Calculate the highest common divisor of 36 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 6*p + 4. Let b be w(6). Let x(a) = -2*a**2 - 4*a + b*a + 4*a**2. Let r(j) = -30*j**2. Calculate x(r(n)).\nAnswer: 1800*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - (sqrt(65) + -1*sqrt(65)*-2))*-6)\/(sqrt(45)*-6*4))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 579. Let a(r) = 3791*r**2. What is x(a(l))?\nAnswer: 28743362*l**4 - 579","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14975\/6 - -2490. Let z be -7 - -4 - 2 - -1. What is the common denominator of (-38)\/(z\/(-6)*4) and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -12. Suppose 0 = 4*h - p*h + 2. Let u = 6 - 3. Sort h, -5, u.\nAnswer: -5, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 221473 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 9) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.101 - -0.100953. What is u rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*b - 3 = -2*b, -2*i + 5 = -5*b. Let s(c) = 3*c - 2. Let a be s(i). Let k be a\/4*(-448)\/16. What is the greatest common divisor of 21 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/9 - 48170684*a\/9 - 192682768\/9 = 0. Calculate a.\nAnswer: -4, 24085346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/35)\/h**(-6\/7) assuming h is positive.\nAnswer: h**(31\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s - s - 11*s + s + 14. Let u be i(11). What is u rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2706 divided by -13.\nAnswer: -2706\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 5*v + 5. Determine z(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1297610 and 49130?\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20456.1 centuries in decades?\nAnswer: 204561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8784 = -71*y + 55*y. Suppose 3*j + z = 4*z + y, 0 = -5*j + 3*z + 921. Does 31 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -14, 25, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/((-1)\/(-22)). Let l be (-16)\/((-48)\/9) + -1 + 7. Let p = b - l. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 - 2*u**2 - 3*u**2. Let y = -7 + 28. Let b(i) = -59*i + y*i + 28*i. Give m(b(o)).\nAnswer: -200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1613*f**2*q**2 - 180*f**2*q - 2*f*q**2 - 1241*f*q + 89*q wrt f?\nAnswer: 3226*q**2 - 360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 7. Let o be t(6). Suppose -3*s + 40 = -o. Calculate the remainder when s is divided by (-80)\/(-25)*(-5)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -15. Let s = 9845\/43 - 229. Is s >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-72) - (0 + 10\/(-12))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 0)*(2 - 3). Let b be (-8)\/(-10)*30\/q. Suppose 5*y + 1 - b = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqbb when four letters picked without replacement from {b: 4, k: 4, g: 2, r: 4, t: 1, q: 5}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.4 and 232.3698.\nAnswer: 233.7698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 2*v - 5*v + 2*v - 2 + 2 - 5*v + 0*v + 4*v + (-1 + 2*v + 1)*(1 + 1 + 3) - 4 - 3*v + 4)*(-3 - 1 - 8)*(-1 + 0 + 0) to s*v + l and give s.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 11 = 5*r - 5*f, 3*r - 17 = 5*f. Let d(s) = s**3 + 9*s**2 + s + 4. Let a be d(-9). Let h = a - -7. Calculate the greatest common divisor of r and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-528)\/(-60)*10\/4 - -4. Let z = a - -21. What is the remainder when z is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-1 + sqrt(180)) + 5)*6)**2.\nAnswer: -15552*sqrt(5) + 106596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c**3 + 10*c**3 - 25*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 3 - 27 = 0. Suppose 2*v - 3 - 3 = 4*m, -3*v - j*m = -19. Let y(t) = -10 + v + 17*t + 5. Let s(p) = -2*p**2. What is y(s(g))?\nAnswer: -34*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4331 + 759 = -j + h, h + 17844 = 5*j. Suppose 5*q - 3512 = j. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 = 464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, -1, 5\/3, 0.2, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16328 and 36?\nAnswer: 146952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 239*q**2*r**3 - 3492*q**2*r**2 + 4*q*r**3 - 3*q*r**2 + 2*r**3 wrt r?\nAnswer: 1434*q**2 + 24*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 320*k**3 - 3*k**2 + k + 4. Is r(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*w = 8, g - 5*w = -2*g - 2. Let l = g - 4. Suppose 3*r - l*f - 11 = 0, r + 2*f = -2 + 3. Solve -3*k + 0 = -3*q - r, 3*k + 4*q = -32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 55*w**3 - w**2 + w - 14. Is u(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1254\/7 + -179. What is the nearest to -0.1 in j, 3, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2347 + 4371. Let r = k + -12047\/6. Calculate the common denominator of 170\/(-4) + (3 - -1) and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 13 = -29. Let c = d - 8. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + -2 + -3*sqrt(2)*-1.\nAnswer: -2 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -4*i - 20. Suppose 0*u = 5*u + 5*k - 145, -k = i*u - 137. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -200*u**3 + 4*u**2 - 2*u - 8. Let m be j(-3). Suppose 14*p = -5*p + m. List the prime factors of p.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.191 times -4?\nAnswer: -4.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -32.1. What is the closest to q in -2\/9, -5, 4\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 31179.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.2 - -4.7. Which is the biggest value? (a) 2 (b) n (c) -2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + v - 2. Let a be f(2). Let n = -10459 + 10471. Solve -n = d - a*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, j: 5, n: 2, e: 1, m: 2, q: 1}. What is prob of picking 1 m and 2 o?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 2, s: 1}. Give prob of sequence cs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*z - z + 17*z - 212*z**2 in the form q + d*z + h*z**2 and give h.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 983 and 57056269.\nAnswer: 57056269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1477*x**3 + 3*x - 6. Let b(y) = 4427*y**3 - 10*y + 20. Calculate 3*b(g) + 10*w(g).\nAnswer: -1489*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + b + 2*b**3 - b**3 + 0*b**3 + 2*b**3 + (-3 + b + 3)*(2*b**2 - b**2 + b**2) + 3*b**3 - 2*b**3 - 41 + 42.\nAnswer: 6*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 88214963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2937 and 2403?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7259 + -116231\/16. What is the common denominator of 39\/22 and s?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -545*(4\/(-5))\/4?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97989 + -418551. Let z = -203562 - g. What is z rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -709*q + 714*q - 2360 = 0. Is 59 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10430312 + 1130?\nAnswer: 10431442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 424, 724, 1030, 1342, 1660, 1984?\nAnswer: 2314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r = -24*r + 85 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i - 14*i - 3*i - 6*i. Let p(v) = -20*v + 34*v - 2 + 2 - 16*v. Calculate p(s(m)).\nAnswer: 54*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 14*i**2 + 3*i + 23. List the prime factors of s(-12).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 17*a. Let p(r) = -3*r**2 + 18*r. Let t(q) = -3*p(q) - 4*u(q). Let d be t(-12). Let x = 24 + d. Let n(i) = i - 6. What is n(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9102 and 222.\nAnswer: 9102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111 + 119. Let u(h) be the third derivative of 4*h**2 + 0*h**3 + 1\/36*h**4 + 2\/63*h**c + 0*h + 0 + 1\/15*h**5 - 8\/105*h**7 + 1\/180*h**6. Factor u(p).\nAnswer: 2*p*(p - 1)**2*(4*p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13663*b - 95635. Determine j(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**4\/12 + 4*m**3\/3 + 23*m**2\/2 + 55*m. Let n be l(-9). Calculate the greatest common factor of 32 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -46*r**2. Let b(u) = 36*u - 30. What is c(b(f))?\nAnswer: -59616*f**2 + 99360*f - 41400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18829023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5152 a factor of 106368192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 2 (c) 4\/171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 6*l**2 - 3*l. Let j(m) = m**3 - 7*m**2 - 6*m + 44. Let i be j(7). Suppose 0 = 4*c - 2*o + 10, -c - 4*o - 15 = -i*o. Give r(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - (77 + (27 - 57)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65126?\nAnswer: 2, 32563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 7*n**2 - 6*n - 5. Let c be j(8). What are the prime factors of 572\/c - (1 + 1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -3. Let y be ((-12)\/t)\/((-5)\/120). Factor -13*w**2 - y*w - 11*w**2 - w**2 - 29*w + 30.\nAnswer: -5*(w + 3)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ea (base 15) in base 7?\nAnswer: -433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1618535888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1531 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmbm when four letters picked without replacement from {m: 9, b: 10}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*b + 85. Let v be (3\/15)\/(10\/b). Which is smaller: v or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 4*y - 4*y)*(4*y - 3*y - 3*y) - y**2 - y**2 + y**2 + 2*y**2 + 0*y**2 + 0*y**2 + (y + y - 4*y)*(-3*y + 5*y - 3*y) to w + q*y + x*y**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 5*n + 0*n)*(1 - 1 + 3*n**2 + (0 - n + 0)*(-3*n + 2*n - 5*n) + n**2 + 2 - 2) as r*n**3 + j*n + g*n**2 + p and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000052 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*d + h - 76, -96 = -2*d - 2*h. Suppose -d = -r - r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -164*h**2 - 71477*h + 182379390?\nAnswer: -328*h - 71477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -754 times 0.2?\nAnswer: -150.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 17*m - 20*m + 16, -3*t + m = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 241959072 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**6 - 15*a**5 - 500*a**3 - 8227*a**2 - 4 wrt a?\nAnswer: 480*a**3 - 900*a**2 - 3000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 155278861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 2:07 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -142907*p**3 + 96718 wrt p.\nAnswer: -428721*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2*a - 10 = 0, -m + 2 = 4*a - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2567 and 3?\nAnswer: 7701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 424151 + 2115*i + 2*i**3 - 424151 + 1261*i**2 wrt i.\nAnswer: 12*i + 2522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 t, and 1 j when four letters picked without replacement from jajjjjjjjjyaatj?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.8 (b) -0.1 (c) -0.4 (d) -0.3 (e) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -24. Sort -5, 1\/4, z.\nAnswer: -5, z, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 2*z**3\/3 + 2*z**2 - 2*z. Let j be 85\/(-10)*(-1 + 5). Let v be j\/(-14) - 192\/(-336). Determine l(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 56994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 5*x - 21 = 0. Suppose 0 = -m - 0*m + x. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -9.05. Let c = f + 0.15. Put 0, c, 0.2 in decreasing order.\nAnswer: 0.2, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-57)\/(-18) - 2. Suppose 1 = v + 2*w - 0, -2*w = -4*v - 26. What is the nearest to 0 in v, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9244 or -6249?\nAnswer: -6249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from {s: 4, n: 2, i: 2, e: 5}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000342615 to 6 decimal places.\nAnswer: -0.000343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -520660, -519291, -517922?\n\"Answer: 1369*n - 522029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 4, -39, 2.\nAnswer: -39, -4, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/6)\/(6\/59832*-8).\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6816\/35 + -330539\/140. Let a = 2185 + c. What is the common denominator of 37\/14 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:22 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2\/29, 2\/3, -3, 0.09 in ascending order.\nAnswer: -3, -0.5, 2\/29, 0.09, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.2 (b) 0.4 (c) -5 (d) -39 (e) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584919.7 millilitres to litres.\nAnswer: 584.9197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142065363 to the nearest integer?\nAnswer: 11919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w. Let y(x) = 2*x - 361. Let n(t) = 5*t. Let g(r) = n(r) - y(r). Determine g(i(z)).\nAnswer: 3*z + 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(1\/8)*w)\/w**(-2\/3)*w*w\/(w**(-2)\/w)*w*w*w**(-3\/10) assuming w is positive.\nAnswer: w**(1259\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3 - 2 - 3 + 7 + 2*t. Suppose -4 = 4*r, 2*y + 8*r = 4*r. Let h be u(y). What is the closest to -3 in h, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -4*n - 516. What is the derivative of -n*g + 92*g - 11 - 1 wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 4*w - 5. Calculate n(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00040700368 rounded to five dps?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97794533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6390 and 4260?\nAnswer: 12780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 220 - 214. Is (3636\/27)\/((-1)\/p*-4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 31*a**2 + 2*a - 2. Let y be n(1). Is 31 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -504 (base 6) in base 3?\nAnswer: -20211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = -10*q + 24. Let w be (-3 + q)*(1 + -3 + 1). Solve 0 = w*h + 4*k - 10, 5*h - 3*k = -k + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237746320.\nAnswer: 2, 5, 7, 424547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2857*h**2 + 1675 wrt h?\nAnswer: 5714*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*k. Suppose k = -4*t - 0*t + 24. Suppose 0 = -11*a + t*a + 255. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1870848 to the nearest integer?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/10 + 1\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/320)\/(33\/(-44)). Let c(o) be the third derivative of 0*o + 0*o**5 + 0 + g*o**6 + 0*o**3 - 1\/48*o**4 - 3*o**2. Solve c(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -194 - 473003?\nAnswer: -473197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 181 and 14299?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154426 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.66335 * -366\nAnswer: -242.7861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*d**2*g**3 + 6*d**2*g - 5*d*g**3 + 10*d*g**2 wrt g?\nAnswer: -30*d**2 - 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2. Let i(s) be the third derivative of -13*s**4\/24 - 5*s**3\/6 - 8*s**2. Let r(m) = 13*m + 4. Let p(x) = -4*i(x) - 5*r(x). Give u(p(t)).\nAnswer: -338*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7319.8 + 7320. Let c = 7 - 13. Sort t, -3, c, -5.\nAnswer: c, -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-3\/10)*f*f\/f**(-2\/9)*f**(-8)*f**(-1\/4)\/f assuming f is positive.\nAnswer: f**(-1031\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + (8 - (8 + -8)) - -7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide ((-4)\/(24\/(-18)))\/((-3)\/(-146))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1233 - 1585*z**2 - 1361*z**2 - 1233 to the form y + d*z + s*z**2 and give s.\nAnswer: -2946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 248653 to the power of 1\/2, to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 11) + (-27 - -50) - 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 202 - 34. Let d = -21787.5 + 21955.5073. Let c = d - r. Round c to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54.5 - 55. Let l = 3.6 + -3. Let z = r + l. Put -0.4, -2\/3, z in increasing order.\nAnswer: -2\/3, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 76555, 2.1, 228\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5 = 3*c. Let h(l) = 5*l**2 + 7*l + 12. Let b(i) = 3*i**2 + 2*i**2 - 4*i**2 + 3 - 2*i + 4*i. Let s(r) = 9*b(r) - 2*h(r). Give s(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -8*s - 3*s + 5*s. Let v(q) = -1. Let b(k) = -k**2 + 4. Suppose -h - 40 = 9*h. Let l(y) = h*v(y) - b(y). Determine l(g(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 190*q + 207*q + 11 - 390*q + 7. Suppose l - 2 = 27. Is g(l) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1984115 + 41)*5\/35 - (-1)\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - -1*(3 + -2). Let w = -1 + l. Suppose s + 3*c - 6 = -2, -5*c + 12 = w*s. Calculate the greatest common divisor of 32 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 10*r**2 - 7*r - 22. Calculate the least common multiple of 66 and a(-10).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -145, -291, -437, -583, -729?\n\"Answer: -146*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51*18\/81 + -11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**3 + 36*z**2 - 6*z - 68. Let i be m(-12). Solve 8*o - 13*o = -25, 4*o = -i*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22032 (base 4) to base 14\nAnswer: -34a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10283 - -31946?\nAnswer: 21663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5714761.23 plus 4170.4?\nAnswer: 5718931.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 80\nAnswer: -9\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 79.455 and -26.52.\nAnswer: -2107.1466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 1, v: 2}. What is prob of picking 1 v and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.47 + 6.47. Let k = v - -1.66. Round k to zero decimal places.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 83 = 3*k, 4*k - 3*w = -2*w - 109. Let q = k - -48. Let a be q\/3*(-15)\/(-10). Which is smaller: a or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 plus -0.0213?\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let i be k(-5). Let d(f) be the third derivative of -f**6\/120 + f**4\/24 - f**2. Let m(p) = -6*p**2 + 9*p - 6. Let l(t) = -d(t) + m(t). Give l(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.04, -1, 8, -33\/7, 2\/13 in decreasing order.\nAnswer: 8, 0.2, 2\/13, 0.04, -1, -33\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -12. Suppose t + 9 = 5*k. Suppose 4*h - 6 - 7 = 5*i, -2*h + 2 = k*i. Solve h*r + 4*c = -10, 0 = -3*r + 5*c + 40 - 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5648462858?\nAnswer: 2, 20981, 134609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1555 + 1532. Let t(l) = l**3 + 25*l**2 - 15*l - 34. Let d(u) = 3*u**3 + 75*u**2 - 44*u - 102. Let z(h) = 4*d(h) - 11*t(h). Is z(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847.9808 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 35 - 31 - 2752*z**3 + 33.\nAnswer: -2752*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -17*t + 46. Let a be p(-8). Suppose -n + 4*n = 42. Calculate the highest common divisor of n and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 54 = -4*f, -2*o + 404*f = 405*f - 14. Let y(n) = 5*n**2 + n - 4. Calculate the remainder when y(-3) is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - -3*sqrt(152)*-3)\/((sqrt(8) + sqrt(512))*-3 - sqrt(8)).\nAnswer: 2*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -4699\/126974?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 298*n**5 + 12 - 4*n**2 - 362*n**5 + 5 - 957*n**5 wrt n.\nAnswer: -61260*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.2 (c) 4 (d) 3493 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 249 and 0.04?\nAnswer: 248.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*1\/(-42))\/((-4)\/14).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 99064518 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y - 72 = 0. Let r = -7 + y. Let h(s) = -23*s**3 - 4*s**2 - 4*s - 1. Let o be h(-1). What is the greatest common divisor of o and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**4\/24 + 9*n**2. Let q(d) = 5*d**2 - 2. Let l(t) = -1. Let a(m) = 2*l(m) - q(m). What is c(a(z))?\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*i - 142 = 174, 2*i = -4*v + 1246. Suppose 3*b - v = 6971. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5 - 1 = 0. Let z(k) = 7 - 5*k + b + 3*k + 3*k. Let q be z(0). Solve 4*w + 0 - q = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14028, 56592, 127688, 227316?\nAnswer: 355476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**2*x**2 + 132*j**2 + 6*j*x**2 - 2*x**2 + 68*x - 21 wrt j.\nAnswer: -6*j*x**2 + 264*j + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-6210)*12 - ((-168)\/90 + 2)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/8 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 16320 to the nearest one hundred.\nAnswer: 16300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dttctdmmbm. Give prob of sequence dc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 221.4009 + 0.4991. Round u to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79577986?\nAnswer: 2, 17, 571, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 849*f - 850*f - 4 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1454 - -563?\nAnswer: 2350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-157*r**2 - 512 + 512)*(-15 + 4 + 6)*(-3 + 3 + r) in the form o*r + t*r**2 + b + w*r**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 0 - 7 + 21 + 87*y**3 as x*y**2 + b*y + f + t*y**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*c + 10. Suppose -k = 4*k - c. Suppose 5*x + t + 364998 = 3*t, -x = -k*t + 72998. Round x to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -23*t - 126. Calculate the lowest common multiple of 9 and i(-9).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 5*l - 4. Let d = -2 + -1. Let z be m(d). Suppose -3*y - 9 = o - 44, 4*y = z*o - 40. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-9) - 32\/(-18). Suppose -5*u - 47 = 2*x, -138*u + 141*u + 45 = 3*x. Calculate the remainder when 12\/d - (-1 - -1) is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4423 - -7110. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1732.717 millimeters?\nAnswer: 173.2717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 1:31 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2868347159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 548 + 616. Let n = -587\/3 - f. What is the second biggest value in 0.09, 2, n?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (3 - (3 - -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36 + 58*w + 2*w - 7*w + 34 with respect to w.\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47290 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 52*g - 12. Let l(b) = -7*b**2 + 374*b - 84. Let p(f) = -2*l(f) + 15*u(f). Determine p(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {o: 6, q: 2, e: 1, h: 5, w: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1128, -1006, -588, 120, 1112?\nAnswer: 2382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 930520\/9 (c) 6\/29 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 1950.\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 4*m**2 + m**2 + 3*m**2 - 5*m**2 - 2*m**2 + (m - 2 + 2)*(-3*m + 3*m - 3*m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 22 = 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12))\/1 - (-4)\/(-48).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g**3 + g**2 + 33*g - 4. Let q(b) = 13*b**3 - 2*b**2 - 67*b + 9. Give 9*l(a) + 4*q(a).\nAnswer: -2*a**3 + a**2 + 29*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.03\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-572)\/39)\/(6\/(-27)). What is the second derivative of -12 - 8*w - 14 + 35 - a*w**2 - 8 wrt w?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 40933058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-306)\/(-7) - 2\/(-7). Suppose -b + 5*l = 44, 0*l = b - 2*l + k. Let w = -30 - b. Calculate the remainder when 54 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -634, -658, -662, -634, -562, -434, -238?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4 - 8. Let d(j) = 18*j + r - 6*j - 11*j - 8*j. Let x(n) = n - 1. Calculate -d(u) - 4*x(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1848)\/(-18))\/11 + -9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8275 (base 12) to base 16\nAnswer: -3779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 274400 to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35087813 to the power of 1\/2, to the nearest integer?\nAnswer: 5923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/13 + 10\/13*p + 8\/13*p**2 + 2\/13*p**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10186986 + 7436*g + 10186986 to the form d + m*g and give m.\nAnswer: 7436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(7)*-2) - (3 + sqrt(11)*-3))**2.\nAnswer: -15*sqrt(11) + 311\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.9 - -14. What is the nearest to f in -4, 1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 7*a + 40. Let n(z) = 3*z + 8. Let h(s) = -6 - 1 + 0*s - 2*s + 2. What is a*h(f) - 5*n(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - z + 4. Let q be k(3). Suppose 0 = 4*y - 99 + q. Suppose 3*w - y + 2 = 0. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13253639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2 = 2*n - 146, 182 = 3*n + 4*o. Calculate the highest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -33. Let x = -14 + y. Calculate the least common multiple of 6 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502388153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 0*v + 29 - 33)*(-5*v**2 + 3*v**2 + 3*v**2).\nAnswer: 4*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(1584) + sqrt(1584) + (sqrt(1584)*-4 + -3 - sqrt(1584) - sqrt(1584) - sqrt(1584)) + (1*sqrt(1584) + 5 - 1*1*sqrt(1584)))**2.\nAnswer: 504*sqrt(11) + 77625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 19. What is the smallest value in 2\/7, -5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o - 4. Let m(k) = k - 11. Let c be m(17). Suppose 2*w = 4, -p - w - 6 = -c*w. Let x(v) = -v - 1. Determine p*x(g) - n(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178571891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-75)*-6*(6 + -1). Suppose 6*l = -j*l + 96. Suppose l*m = 18*m - 12. Solve -t = -m*n + 1, 0 = -2*t - 0*t - 3*n + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(315) + 2*sqrt(315) + sqrt(315) + sqrt(315))*5)\/(sqrt(21)\/(sqrt(21)\/(sqrt(7) + sqrt(28)))))**2.\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 634785 and 6704?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = i + 1, -3*i + 27 = 2*a - 4*a. Let w be 20\/a + (-16)\/24. Let n be (225\/(-18))\/((4\/2)\/w). Solve -5*x + n = -0*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - m = -5*m - 13, 0 = 3*t + 2*m + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/17))**(-40)*(h**5)**(-2\/39) assuming h is positive.\nAnswer: h**(2950\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 48 + -2 + 3 - -2. Suppose h - 21 = 3*u. Calculate the highest common divisor of 110 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 359880 and 2679?\nAnswer: 321372840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a factor of 1646560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0 (b) 215 (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -18*h**3 - 5*h - 6. What is y(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 801395 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13137318 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3942 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 2484045?\nAnswer: 2484046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -292\/7, 2\/35, 168, 2\/5?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3)\/((-2)\/(-12)). Suppose -2*v + 2*n = -16, 5 + 6 = p*v - 3*n. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*f**2 - 520*f**2 - 33*f**2 - 205*f**2.\nAnswer: -1000*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -100010101111 (base 2) to base 15\nAnswer: -9d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**4\/12 - d. Let l(i) = 5*i**2. Give l(y(n)).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c**3 + 4*c**3 - 7*c**3 + 0*c**2 + c**2 as i*c**2 + x*c**3 + m + o*c and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (22\/(-3))\/(105\/(-9)). Let d = 3\/7 - i. Let p(l) = 2*l + 10. Let q be p(-7). What is the nearest to -0.1 in d, -5, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36846.08177 rounded to the nearest 10?\nAnswer: 36850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26761113?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49304294*l**2 - 2449042*l + 22.\nAnswer: -98608588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33821802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -30 + -13.437916658\nAnswer: -43.437916658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + (0 - -2) + 0 + (12 - -55) + -66.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - -5)*(18897\/20 - (-8)\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p*y**6 + 337*p*y**3 + 18*p*y**2 + 2*p + 2*y wrt y?\nAnswer: -120*p*y**3 + 2022*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d - 5*d - 4*d**3 + 3*d**3 + 5*d**4 + 3*d - 1 in the form u*d**2 + l + b*d**4 + k*d + n*d**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**5 + h**4 - 361*h**3 + 33576*h**2?\nAnswer: -60*h**2 + 24*h - 2166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 723231 plus -0.2?\nAnswer: 723230.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031122 rounded to 3 decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -72*l - 68. Let a be u(-1). Sort -10, a, 1 in increasing order.\nAnswer: -10, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(6\/(-21)))\/((-138)\/276)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 + -76. Solve -f - 4*b + 6 + 7 = t, 6 = 2*f + 3*b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -9*i - 74. What is m(-13)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10*((-2)\/12)\/((-13)\/(-39))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 8212 and 2322\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*o**2 - 99*o**2 + 94*o**2 - 100*o**2 + 202*o**2 + 19*o**3.\nAnswer: 19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 327, 642, 957?\nAnswer: 1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24540, 48019, 70460, 91869, 112252, 131615, 149964?\nAnswer: 167305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(6*sqrt(1300)*-1)**2 + ((-2*sqrt(65)*-1)\/(sqrt(15)\/sqrt(48) - sqrt(5)))**2)*3.\nAnswer: 1685632\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0027 - -0.0489. Round b to three decimal places.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(((-8)\/(-4))\/4). Suppose i = 6*z + 4. Solve -z*s = 2*s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 5*m**2 - 15*m + 8. Is d(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Find the third derivative of 4*j**6 + 10*j**t - j**6 - 4*j**2 wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.2. Let x = -27924\/23 - -1214. Suppose 6 = -2*w - 2. Which is the nearest to z? (a) 3\/5 (b) x (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p + 8. Let w be p\/3*3\/(-2). Suppose 0 = 10*a - 18 - 2 - 10. Solve 5*y + w*f = -23, 5*y - 6*y - 2*f = a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.40690485 rounded to 0 decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 8*u + 6. Let y(v) = -42*v - 69. Let c be y(u). Let i be 0 - (-13 - 4\/2). Is i at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(4860) + sqrt(4860) + -2*sqrt(4860) - sqrt(4860))\/(sqrt(1728) + -5*sqrt(1728)).\nAnswer: -3 + 3*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2.9. Let g be 2\/4*8\/2. Let m = 14.23 + -9.23. What is the nearest to y in g, m, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-260)\/91)\/(2\/(-56)). What is the highest common factor of 440 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124916?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n - 8. Calculate the remainder when q(6) is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 7. Suppose 13 = 2*m + o. Suppose 625 = 3*a + 5*r, a + 46 = -m*r + 259. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 1661. Let x(m) be the first derivative of -m**2\/2 + 2604. Calculate x(n(i)).\nAnswer: 2*i + 1661","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 559185 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7324\/237295 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-2 - -6)) + -1 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*n + 82*n - 61*n + (4 - 2 - 3)*(2*n - 4*n + 5*n)*(0 + 0 - 2).\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 - 20*h - h**3 + 2*h + h**4 + 754*h**2 - 753*h**2 to w*h**2 + m + f*h**3 + i*h**4 + c*h and give m.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(-2*sqrt(4)))**2 + (2*sqrt(3)*1)**2.\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -297 + 972. What is the greatest common factor of k and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459628239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207401.\nAnswer: 207401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10123 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 0*y + 31 = 10*y. Factor -1\/2*s**4 - 1\/2*s**2 + 3\/2*s**3 + y - 3\/2*s.\nAnswer: -(s - 2)*(s - 1)**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4897 + 774. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15.531 (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*u + 15, 2*k = k + 4*u + 27. Let p = 32 - k. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (5*-3*(sqrt(209) - (sqrt(209) + sqrt(209)*1 + sqrt(209) - sqrt(209)) - sqrt(209))*6)\/(sqrt(275)*6 + sqrt(66)\/sqrt(6)*-4) + -4)**2.\nAnswer: -360*sqrt(19)\/13 + 154576\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 19, 32, 49, 70?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33264)\/(-82368)*(-4)\/(-7).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -420209*g - 2521266. Determine c(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 167116211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(0*t**4 + t**4 + 0*t**4) + 2*t**4 + 5*t**3 - 5*t**3.\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 10*p - 2. Let s be n(-11). Suppose 10*x - s*x - 172 = 0. Let v = 79 + x. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 + 35215*i\/2.\nAnswer: -i*(i - 105645)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*w - 184 = -3*o, -4*o + 260 = 2*w. Let n = 124 - o. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3604092 divided by -5?\nAnswer: -3604092\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**5\/4 - 1713*k**4\/4 - 238449*k**3\/4 + 1740021*k**2\/4 - 508062*k - 1002252 = 0.\nAnswer: -289, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h - 5. Let x be p(1). Suppose 0*m = x*m - g - 130, m + 5*g = 54. What is the highest common divisor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -8*d + 91. Let u(m) = 222*m**2 + 1. Determine s(u(z)).\nAnswer: -1776*z**2 + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 - -88. What is the first derivative of -3*y**c - 17*y**3 - 2 + 1 wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116*((-3)\/(-5))\/((10944\/190)\/(-48))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-4)\/60)\/((-4)\/20).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**3 - 440*a**2 - 123. Determine n(88).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11049785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -450 + 149 - r + 150 + 151. Let c(g) = -511*g**2. Calculate t(c(p)).\nAnswer: 511*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/((-1)\/8). Suppose 5*t + 1 = i, -5*i - 2*t - 10 = -3*i. What are the prime factors of 2\/k*(i - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*u + 586 - 586 + (-1 + 1 + 3*u)*(0 + 0 - 1).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 11 + 40 = 3*s, 345 = 5*w - 3*s. Let o(d) be the first derivative of 66*d + 8 + 11 - 2*d**2 - w*d. Let a(x) = 17*x**2. Give a(o(z)).\nAnswer: 272*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 129*g - 15. Let s(k) = 32*k - 4. Give -15*s(m) + 4*v(m).\nAnswer: 36*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*g*l**3 + 976*g*l + 28*l**3 wrt l.\nAnswer: 60*g*l + 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17623.9593 rounded to the nearest one hundred?\nAnswer: -17600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131816?\nAnswer: 2, 3, 7, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, j: 6}. Give prob of sequence jssj.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s + 255*s + 86*s to the form z*s + q and give z.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**3*n**6*((n*n*n**(-6)*n*n)\/n)\/n**(-5) assuming n is positive.\nAnswer: n**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 229*v + 32 = 231*v, v - 24 = -3*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 - 2*v**4 + 6*v**4 + 2*v**4 + 7*v**4 + v**4 + (-4*v - v**3 + 4*v)*(-v + 4*v - 2*v).\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59 and 4661?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3173*w - 823. Is t(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s**3 - s**2 + s. Let a be q(1). Let g(k) = -14*k + 8. Let u be g(a). Calculate the common denominator of 5\/20*-6 - u\/28 and -43\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-19 + 26) - -36 - -6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3\/5 + 2*h**2 + 16*h\/5 + 8\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1207, -1458, -1719, -1996, -2295?\n\"Answer: -g**3 + g**2 - 247*g - 960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15786.43 meters to micrometers.\nAnswer: 15786430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 38*z - 29*z + 26*z.\nAnswer: 35*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -0.4 (c) -97 (d) -1\/11 (e) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1248681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -16984, -7, -4.\nAnswer: -16984, -7, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -35939955?\nAnswer: 2\/35939955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 363.83 + -1825033?\nAnswer: -1824669.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8759 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21331 (base 5) to base 14\nAnswer: -76a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -1\/4, -0.2, 0.05, 2.\nAnswer: -1\/4, -0.2, -0.09, 0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.2280699 - 190.7722371. Let z = 229 + j. Round z to 5 dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 + 270 = 10*h. Put -49, -1, h, 5 in ascending order.\nAnswer: -49, h, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/7 + 2\/7*z**2 + 12\/7*z.\nAnswer: 2*(z + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16138403 is divided by 16138400.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/719 + -56807\/1438. What is the common denominator of -53\/12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + (sqrt(228) + 5*(sqrt(228) - -2*sqrt(228)) - sqrt(228)) + sqrt(228))\/(1*sqrt(12)*-1).\nAnswer: -17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 194*l**2 + 2. Let w = -42 - -43. What is the units digit of z(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24b99 + -39a?\nAnswer: 247dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 835851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 16*i**2 - 19*i - 31. Let h be w(-17). Let m = -178 + 187. Solve 3*u - m = 3*n, -h*u + 6 = -2*n - 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1213953739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2 + 11067\/6324.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 16*j**2 - 10*j - 10. Let l(t) = -5*t**2 + 3*t + 3. Let a(n) = 10*l(n) + 3*o(n). Let r(q) = -3*q. Calculate a(r(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15453405 (base 6) to base 3\nAnswer: 1001000122112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5466 divided by -5466.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 114 (b) -5 (c) -171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 - 9*z**2 + 5*z + 8. What is the remainder when k(6) is divided by (3 - -1)\/(18*(-18)\/(-2997))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 10*b**2 + 40*b - 302. What is the tens digit of v(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2700 divided by 27?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*w - 30 + 2543, 5*k + 3*w - 4163 = 0. Is 38 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 6*r + 32. What is the smallest common multiple of z(-14) and 6?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -175305692*h**2*t**3 - 279933*t**3 + 39*t**2 wrt h?\nAnswer: -350611384*h*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from {b: 1, z: 1, t: 1, g: 1, k: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-256)*3602\/(-59433)*((-88)\/6)\/(-2)?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - m**2 + 4*m**2)*(1771 - 3551 + 169*m + 1778).\nAnswer: 169*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*p - 3*v + 5 = 0, -p = v - 3. Let f = -14 - -10. Let t = -3 - f. What is the remainder when t is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*n - 24 - 0, 0 = 2*j + 5*n - 74. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x + 3. Let t(z) = -44*z - 32. Let b(r) = 3*t(r) + 32*u(r). Let s(c) = -17*c. Give 26*b(j) - 6*s(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 9*f + 17. Let u(l) = l**2 - 9*l + 18. Let j(q) = 4*k(q) - 3*u(q). Let s be j(7). Suppose 14*v - 10*v - 396 = s. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4*v + 5 = -8, 2*t + 4*v = -14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11819 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 2191492520.602?\nAnswer: -2191492521.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 205, 307?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -29472 and 333115.51?\nAnswer: 362587.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 17*a - 86. Let k be m(21). What are the prime factors of -2 + -2 - k - (-1186 + -17)?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -1\/42*r**7 + 0*r**3 + 0*r**4 - 8*r**2 + 0 + 0*r + 3\/20*r**5 + 0*r**6. Find the third derivative of k(c) wrt c.\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -197.55070046 to one dp.\nAnswer: -197.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6 + 4 + (4 + 0 - 2)*(-1 + 2 + 2) + 87 - 49 + 140)*(-3 + 3 - 2 - 2*v) as w*v + f and give w.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141905\/57596 - -1\/2057. Calculate the common denominator of y and ((-1715)\/(-70) + -21)*(-324)\/112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277609 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -673 + 676. Solve 3*k = 3*s + 7*k + 5, -2*k - p = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 328 and 205369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/90)\/(13\/5)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3146 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.21 - -0.42. Let d = 0.79 + u. Is 17 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85*t + 12*t - 292 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtg when three letters picked without replacement from {j: 2, g: 4, t: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q**2 - 111*q**2 + 137*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20020 divided by -5\nAnswer: -4004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53803 is divided by 4387.\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 85*i**3 + 2*i**2 + 2*i + 2. Let w(s) = 9350*s**3 + 221*s**2 + 221*s + 221. What is -6*w(k) + 663*x(k)?\nAnswer: 255*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1390442?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-7)\/u**6)\/((u\/(u\/u**(2\/17)))\/(u*u**5)))**(1\/56))**(6\/5) assuming u is positive.\nAnswer: u**(-363\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.2 (b) -35089\/38 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*w + 152*w - 455*w + 148*w - 56.\nAnswer: -w - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d + 43 + 2*d - 41 + 4*d. Calculate m(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 - -453. Let p = v + -371.4. What is the closest to -1 in p, -1, 1\/7, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {w: 1, q: 3, c: 6, f: 2, m: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*y - 36 = -y, 4*w = 3*y + 30. Let h(g) = 5 + w*g - 5. Let d(q) = 2*q + 3. Let x(m) = 4*m + 5. Let i(r) = -5*d(r) + 3*x(r). What is i(h(a))?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -196*-0.0878316\nAnswer: 17.2149936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 9:40 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + (-16)\/(-4))*-1. Suppose s = -3*c - 4*r + 12, -c + 5*r = 2*c - 12. Solve -c*x + 15 = -5*f + x, 0 = -2*f + 4*x - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(16\/8).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*u + 249, 0*c - 2*c - 4*u + 90 = 0. Let f = c + 6. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*y**2 + 4*y**2 + 4*y**2)*(-30*y + 12182 - 12182) + (-26*y**2 - 9 + 9)*(-y - 2 + 2) to the form j*y**2 + l*y + o*y**3 + d and give o.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/1845 (b) 1\/6 (c) -3 (d) -4 (e) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 5*l - 72 = 0. Let v = -22 + l. Suppose -3*u + v*n + 44 = n, 5*u = -2*n + 88. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by -1104.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2139 by -33190.\nAnswer: 2139\/33190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 5, u: 1, o: 2, t: 3, v: 3}. Give prob of sequence uou.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2\/9 - 332*z\/9 - 13778\/9 = 0.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 85*x**2 - 170*x + 161. Calculate o(-87).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i. Suppose 0 = -6*x + 5*x - 43. Let q = 74 + x. Let m(n) = -q + 2*n**2 + 31. Calculate f(m(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -4, 1, -2, -5 in increasing order.\nAnswer: -60, -5, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 6*b**2 - 5*b**2 + (2*b + b - 2*b)*(372 - 372 - 31*b).\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3297625 and 1029710?\nAnswer: 4255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 - 20 - 59 + 2*a.\nAnswer: 2*a + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/12)\/((-20)\/(-150)*35)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v**2 + 5*v - 5. Suppose -2*k - 5 = -3*k. Let r = -16 - -16. Let y(d) = r*d**2 + d**2 + 2*d + d**2 - 2 - k*d**2. Determine 2*m(h) - 5*y(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 94*d - 9734. What is c(157)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**2*d)\/d)\/d)**10\/(d*d*d\/d**(-1)*d**5) assuming d is positive.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*y + 3*y. Let h be (-2 - -5) + 8\/2. Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 2:38 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122020 - 21?\nAnswer: -122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 equal to -7484\/299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1476 + 0.14760737. Round h to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/(-6) - (-2)\/3. Let z = -52.67 - -0.67. Let t = z + 51.9. Which is the closest to t? (a) m (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*i + 18063281 + 5683631. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403 (base 6) in base 5?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p**2 - 3*p. Let b be v(-3). Let f(h) = -6*h - 36. Let t(z) = -1. Let i be ((-21)\/(-19) + -1)*361\/38. What is b*t(r) + i*f(r)?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3336053\/38170 + -1\/7634. Let n = q + 87. Which is the closest to -1\/4? (a) n (b) -3\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from {y: 4, o: 3, g: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f - -1a3?\nAnswer: 1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1285 - 1302. Let l(w) = -w**2 - 14*w + 39. What is l(r)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/66*(-264)\/660.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/21 (b) -1 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.113 - -1650.5567666.\nAnswer: 1650.4437666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-59988 + 59988 - 1051*t)*(-2*t**3 + 0*t**3 + 0*t**3) as n*t**2 + r*t**4 + u*t**3 + s + o*t and give r.\nAnswer: 2102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 189625 divided by -37?\nAnswer: -5125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wos when three letters picked without replacement from ossseooosswossooeso?\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-32)\/(-100)) + 3. Let b = 7\/22 + 2\/11. What is the nearest to b in -4, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7111.\nAnswer: 13, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (47 - 45)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 2221?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/6)\/((-1)\/15). Suppose -2*x + 2 = -x. Suppose 3*a = x*j - 1 + 69, -j = a - 16. Calculate the highest common factor of a and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 5534805?\nAnswer: -5534802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**11*a*a*a\/a**(-26)*(a**(-5\/6))**(-2\/71) assuming a is positive.\nAnswer: a**(8525\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2486258 from 11470.\nAnswer: 2497728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 42. Let r = -29 - -86\/3. Sort r, 0, l in descending order.\nAnswer: l, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -18*q + 13*q - 13 + 6*q. Let n(o) = -9*o**3 - 5*o**2 + 5. Let b(k) = n(k) - 5*v(k). Find the third derivative of b(u) wrt u.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 98 - 1108. Suppose k = 2*v + y, 0 = -2*v + 4*v + 5*y - 517. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/6)\/((2682\/486)\/149)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 8*l - 5. Let r(f) = f**2 - f. Let m = 41795 + -41797. What is m*r(s) - n(s)?\nAnswer: -s**2 - 6*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3861*m - 33315. Give c(9).\nAnswer: 1434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41436709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/4 + 2*(-5)\/(-20). Let z(a) = 2*a. Let y(x) = 1. Determine k*y(g) + z(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(588) + -3*(1*sqrt(588) + sqrt(588)) - sqrt(588))*5)\/(-3*sqrt(6)*6 + sqrt(6) + 2*sqrt(864)))**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -14, 330, 15.\nAnswer: -14, 15, 28, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*m - 24 = 0, -4*q - 21 = q + 4*m. Let v = 24831 + -24830.29. Which is smaller: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4889965 is divided by 5093?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -1263 and 5.\nAnswer: -1258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 889591397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 201 = -2*r + w, -w = 2*r - 407. Suppose -6*p + 126 = -3*p + 3*o, -5*p + r = 3*o. Solve -4*k - 32 = -3*t, -2*t + p = -4*k + 3*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2 + 35*j - 6. Let y be q(-9). Solve 7 = 10*n - y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25187 - -49984. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40007.88 meters to micrometers.\nAnswer: 40007880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121*h**3 - 90*h**2?\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -11373 less than -5194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-377)\/2320)\/((-24)\/384)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gldzgwo. What is prob of sequence gzld?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 20572988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 23*r - 256. Determine j(31).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 31 = j, -5*j = -0*g - 4*g + 48. Suppose 0 = g*s - 0*s. Solve s = -4*q - 2*n - 2*n - 16, -q + 20 = -5*n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 3825*a + 3166956.\nAnswer: (a - 2613)*(a - 1212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29328*u**3 - 955*u - 12867216.\nAnswer: 87984*u**2 - 955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82425.77 decades to millennia.\nAnswer: 824.2577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7817.073g?\nAnswer: 7817073000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*u**2 + 5713*u - 68429 with respect to u.\nAnswer: 10*u + 5713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1122913998 from -892.\nAnswer: 1122913106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 9 - 208*g**2 + 211*g**2)*(-5*g + 5*g + g**3).\nAnswer: 3*g**5 - 14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 606 < 605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 31611, 63205, 94775, 126309, 157795, 189221?\n\"Answer: -2*g**3 + 31608*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q = 5*l - 20 + 182, -3*l + 7 - 9 = -q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*n + k, -56*k + 53*k = 5*n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**3 + 4*m**3 - m**5 + 123*m**4 - 123*m**4 + 642*m**5 + (2*m**4 - 2 + 2)*(-1 - 2*m + 1) + 4*m**5 - m**5 - m**5.\nAnswer: 639*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -78*p**3 + 6*p**2 + 59*p - 264. Give g(4).\nAnswer: -4924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 6*j**2 + 5*j + 2. Let w be r(-5). Let b be (159\/(-424))\/(2*(-6)\/8). Is w greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c + 49. Let m be i(-11). Solve -4*u = -3 - m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4155 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 4*w + 4*d, d - 42 - 49 = -4*w. What is the second derivative of -4*f + w*f**3 - 14*f + 7*f - 9*f wrt f?\nAnswer: 132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 118836 and 92428?\nAnswer: 831852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -635*m + 126. List the prime factors of h(-3).\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1. Let y(d) = d**2 - 1. Let h(u) = -3*u**2 + 4. Let q(r) = -2*h(r) - 7*y(r). What is -2*q(v) + 3*x(v)?\nAnswer: 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2190 and 1816240?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 18*x. Let w(b) = 2*b**2 + 6*b - 10. Let p be w(1). What is r(p)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 15 = 5*y + w, 0 = 3*y + 4*w - 26 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**4 - 46*f**2 - 277*f - 9. Let t(s) = -s**2 + s - 3. Let l(v) = q(v) - 3*t(v). Find the second derivative of l(z) wrt z.\nAnswer: 48*z**2 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)\/sqrt(8))\/sqrt(8) - (4 + sqrt(180)).\nAnswer: -5*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000048288397 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -114394, -228784, -343174?\n\"Answer: -114390*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1 + 1 + 6*k + 0. Let j be (60\/144*-4)\/(10\/(-12)). Calculate the smallest common multiple of 12 and m(j).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*i - i - 2*i)*(-2*i + 2*i**3 + 2*i) + 3*i**4 - 5*i**4 - 2*i**4)*(-3333 + 3333 - 179*i).\nAnswer: 1074*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 231212328 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 41423913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1287712 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 10*r**2 - 11*r - 15. Let f = 71 + -80. Let m be g(f). Let d(k) = 4*k**3 - k**2 + 4*k - 4. What are the prime factors of d(m)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 26656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23716 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -370*u**3 + 2*u**2 + 16*u + 14. Let r be q(-1). What is the highest common factor of 5254 and r?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -278*b*g**4 - b*g**2 - 2*b*g + 10313*b wrt g.\nAnswer: -1112*b*g**3 - 2*b*g - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0*m + 3*m + 3*m)*(8 - 10 + 1) + 3 + 5*m - 3 to r + o*m and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4790*r + 4765*r - 9516*r.\nAnswer: 39*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1712.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0449 and 5308048.\nAnswer: 5308048.0449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 n when three letters picked without replacement from {n: 11, m: 1, z: 5, u: 2}.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**6\/240 + b**5\/120 - b**4\/3 - 3*b. Let z(d) be the third derivative of f(d). Find the first derivative of z(p) wrt p.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asla when four letters picked without replacement from {a: 1, s: 1, z: 1, l: 2, v: 2, h: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 - 11. Let i(d) = d**2 - 4. Let t(c) = -11*i(c) + 4*k(c). Let w(x) = 97 - 286 + 94 + 95 - x. Give w(t(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -41. Let q = -27 + z. Which is the nearest to 1? (a) -4 (b) -1\/6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3) + (3 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j**2 + 3*j - 3. Let v be k(-3). Suppose -3*c + v - 96 = 0. Factor 1\/2*b**5 + c - 1\/2*b**3 - 1\/2*b**2 + 0*b + 1\/2*b**4.\nAnswer: b**2*(b - 1)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 - 0.51. What is the third biggest value in 3, 1, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124128 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b**2 + 956*b - 1230. Give y(-138).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240, 237, 232, 225, 216, 205, 192?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 7*j - 9. Determine p(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 0)\/(4\/(-316006)). Let h be c - (-7 + (0 - -4)). What is h rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 4\/3*r**4 + 23*r + 0*r**2 - 6 - r**3. Let k(q) be the first derivative of g(q). Find the second derivative of k(n) wrt n.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 507, -3, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + -4 + 1 + 0. Let u be (4*q)\/((-6)\/6). Let y = u + 33. What is the highest common divisor of y and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13190\/11871 + 1*(-1)\/9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79177 or 791781\/10?\nAnswer: 79177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2. Let q(t) = -t + 9 - 9 - 5. Let z be q(-10). Let b(w) = 5 + w - z. What is b(x(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**4\/7 - 9925467*l**3\/7 - 12406839*l**2\/7 - 2481368*l\/7 = 0. What is l?\nAnswer: -1, -1\/4, 0, 2481368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*(sqrt(243)*-1 - sqrt(243))*-4 - (sqrt(243) + (sqrt(243) - -4*(2 + sqrt(243))) - sqrt(243))*2)**2 + -5).\nAnswer: 7488*sqrt(3) + 164519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 1. Let k(n) = 10*n**2 + 6*n + 5. Let v(j) = k(j) + 5*l(j). Let b be v(-1). Let f(c) = -c**2 + 5*c - 3. Let t be f(3). Solve b + 6 = t*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 1)*(-327*j**4 + 323*j**4 + 133*j**3 + 6*j**3) in the form h*j**2 + t*j**4 + w*j + i*j**3 + k and give i.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u - 21*u + 3*u**2 - 2*u**2 + 16*u**2 + 7*u**2.\nAnswer: 24*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -30*c**2 + 202*c - 407. Give p(2).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**2 + 3*r - 4. Suppose -2*k = -7*k - 85. Let z = k - -21. Is v(z) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n - 1 - 19*n + 0 - n**3.\nAnswer: -n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - m - 4. Let x(a) be the third derivative of -1\/24*a**m - 2*a**2 + 0 + 1\/60*a**5 - 1\/6*a**3 + 0*a + 1\/120*a**6. What is k in x(k) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 117 = -19*o. Calculate the remainder when o is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3275966, -13103912, -29483812, -52415660, -81899450, -117935176?\nAnswer: -160522832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 302689 greater than 302688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 2 + 0*s + 1\/2*s**2. Let h(q) = -38 + q + 19 + 19. What is h(m(u))?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2. Let c(s) = -s**2 + s - 1. Suppose 3*q + 15 = 6*q. Let g(t) = -7*t**2 + 5*t - 5. Let d(j) = q*c(j) - g(j). Calculate d(y(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33586422 - -14.\nAnswer: 33586436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 79 = 23. Suppose 0 = -4*g + 28 + 8. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 16*x**2 + 296*x - 297. Let f be z(1). Let a be 2\/4 - 418\/(-4). Calculate the highest common factor of a and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/11 - 96*d**3\/11 - 306*d**2\/11.\nAnswer: 2*d**2*(d - 51)*(d + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.33955 weeks in minutes?\nAnswer: 275582.664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2. Let m be 58\/5 - 6\/(-15). Let d = -9 + m. Let k(o) = o - 2*o**2 - 4*o + d*o. Determine s(k(y)).\nAnswer: 20*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/825 and -65\/537.\nAnswer: 147675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (25 - -30) + 25 + -32.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82161*q - 36 = -82170*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 6) to base 2\nAnswer: 11111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 214 - 58. Let k be n\/(-6) + (-4)\/8. Let w = 11 - k. Calculate the greatest common factor of w and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 386092 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 2*h + 1450*h**3 + 3192*h**3.\nAnswer: 4642*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71641*h**3*v**2 + 5294*h**3*v - 2*h**2*v - h*v - h - 14*v**2 - 14 wrt v?\nAnswer: -143282*h**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114 - -58. Let b = f - -69. What is the smallest common multiple of 143 and b?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-4 + 2))*(-11)\/66. Which is the nearest to -2\/3? (a) y (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n + 6. Suppose -2*r + 3*j + 13 = 0, j = r - 0*j - 5. What is v(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(5 + 0)*4. Let i = n + 18. Let o be (-2 - i)\/(2\/(-12000)). What is o rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)\/(sqrt(11)*-2))**2 - sqrt(18)\/(sqrt(6) + (sqrt(54) - sqrt(6))))*-1 - (-4 + ((sqrt(300) + -1)**2 - (sqrt(3) + sqrt(3) + -1 + 2))).\nAnswer: -1187\/4 + 67*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.759 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqdhhdhh. What is prob of sequence dch?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aia when three letters picked without replacement from aai.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6888 + 58*j**2 - 6902 - 2*j + 13790.\nAnswer: 58*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1050469.\nAnswer: 4\/1050469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a**4 - 84*a**3 + 174*a**2 + 24*a - 270. Let t(z) = z**4 + 17*z**3 - 35*z**2 - 5*z + 54. Let j(o) = 4*c(o) + 21*t(o). Factor j(p).\nAnswer: -3*(p - 3)**2*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 30) + 21 + (-4 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*s + 4*r + 2, -5*s + 13 = 3*r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) + (-45)\/42. Let u = -9.6041 - 31.3959. Which is the third smallest value? (a) x (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85624, -340968, -766024, -1360786, -2125248, -3059404, -4163248, -5436774?\nAnswer: -6879976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -495 - 470*q - 4*q**2 + 473*q + 494. Suppose z = 2 - 0. What is j(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -15 - (2 + 0)) + (31 - 37).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 18. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ockf when four letters picked without replacement from {f: 4, k: 2, b: 5, c: 2, o: 1, s: 1}?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 92?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3*o = 14 + 8, -12 = -3*o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/5))**(-18\/13) assuming x is positive.\nAnswer: x**(54\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 500 and 90500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 10:21 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -11 - (3 + 3 + -3)) + 29 + -120?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2702*k - 16220. Determine v(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -365238779 and -0.01?\nAnswer: 365238778.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81a9 (base 12) to base 4.\nAnswer: 3130101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 64 = 5*u. Let a(x) = 18*x**2 + x. Let c be a(1). Let m = c + u. Solve -2*i = g - 6*g - m, 0 = -2*g - i - 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -3 - (-8 + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (49 - 82) + 8 - -81?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 2*g + 4. Let c be p(2). Solve c = -4*a - 0*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 3667*i**3 - 3666*i**3 + 9*i + 3*i.\nAnswer: i**3 + 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, 3, 2.\nAnswer: -11, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 3. Let i = h - -1. Suppose 0 = -p - 2*p. Which is the third smallest value? (a) 2\/13 (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - (-3)\/(-5))\/(49\/(-26705))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -0.14599864.\nAnswer: -3.14599864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4 = b, -5*b + 8*t = 4*t + 18. Let z be b + 43 - (3 + -2). Let v = z - 15. Calculate the highest common divisor of 10 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -23\/2, 164, -0.07 in ascending order.\nAnswer: -23\/2, -0.08, -0.07, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3\/5 + 12*m**2 + 828*m\/5 + 432 = 0 for m.\nAnswer: -6, -4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27\/106 - -2954\/159. Calculate the common denominator of a and 103\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x = 105*k - 101*k + 76, 4*x + 118 = 9*x - 3*k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, 5 in descending order.\nAnswer: 11, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/6 + (-4)\/(-6). Let a(b) = b**2 - q - 3 + 8*b**2 + 0*b + b. Does 12 divide a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1584) + sqrt(1584) - sqrt(11) - (-2 + sqrt(11)*4))**2 + (sqrt(99) + -2*sqrt(99)*6 + sqrt(99) + sqrt(99) - sqrt(99))\/(-3*sqrt(144)).\nAnswer: 233*sqrt(11)\/6 + 3972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000000 rounded to the nearest 1000000?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 = -5*q + 2*q, 0 = -3*b + 4*q - 8. Solve b = 4*m - 2 + 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3514.\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19506.1 rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34201, -68347, -102493, -136639, -170785, -204931?\n\"Answer: -34146*n - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 127*w + 271. Calculate v(-61).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180625839 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 21832 = -3*f - 1037, 22861 = 3*a + f. List the prime factors of a.\nAnswer: 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, d: 2, i: 2}. What is prob of picking 1 d and 1 i?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 127 (b) 3\/2 (c) -4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 - -85. Factor -2*q**4 + q**5 + 5*q**4 + 50*q**2 - 54*q**u.\nAnswer: q**2*(q - 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 + 2*u**4 - u**4 + (-4 + 2 + 3)*(0 + 0 + u**4))*(-74*u + 119*u + 108*u).\nAnswer: 459*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017 is divided by 84?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -1\/468 (c) 10934\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 13 = 1. Let b be 2\/(-20)*2*75\/(-30). What is the nearest to -2\/5 in b, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/684 and -65\/38.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -32 (c) -5 (d) -4 (e) 2 (f) -12.22 (g) -1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -15*u**3 - 11*u**2 + 3*u + 7. Let t(a) = 7*a**3 + 5*a**2 - a - 3. Calculate -7*t(r) - 3*v(r).\nAnswer: -4*r**3 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5399786*s**2 + 2619600*s - 61.\nAnswer: 10799572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -584 divided by 2.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9\/2 + 49\/10. Let l = -0.4 - -0.1. Sort -0.2, j, l in decreasing order.\nAnswer: j, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 7. Let u(x) be the second derivative of -x**4\/12 - 162*x. Determine u(l(d)).\nAnswer: -4*d**4 + 28*d**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(17*(-36)\/(-18819))\/(-2).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 1210010?\nAnswer: 1210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1.8 (b) 2 (c) -17\/5 (d) 318\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 + 1313720*q - 1510127708600.\nAnswer: -2*(q - 2299010)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z - 80 = z. Let u(o) = o**2 - 16*o + 63. Let s be u(z). Solve b - 2*b + 5 = -2*h, 2*b + s = -2*h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen halves of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6040305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 2\/7, -3\/4961?\nAnswer: -3\/4961","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65574161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 1. Let g(t) = 57*t - 4. Give -g(w) + 2*p(w).\nAnswer: -61*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -9, -50, -129, -258, -449, -714?\nAnswer: -1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 913.8 (b) -9593 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 444\/11, 138, -0.3, -1\/3 in increasing order.\nAnswer: -1\/3, -0.3, 444\/11, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 21 + 4. Which is the third smallest value? (a) x (b) -4\/9 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 11\/97970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -6529?\nAnswer: -6536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 2. Suppose 2*t - i = -0. Find the third derivative of 2*o**t + o**2 + 0*o**2 - 4*o**2 - 5*o**4 wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 363518 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -404054673 >= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1807 + 1806 + -2 + 3 + (-19 - -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4 = 2. Let j(g) = -19*g + 4. Let p(n) = -56*n + 13. Let t(y) = 17*j(y) - 6*p(y). Let b(l) = 4*l - 3. What is h*t(d) + 7*b(d)?\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 7*s - 6. Let r be (-10)\/(-50) + 19\/5. Suppose r*d = -5*q - 0*d - 10, 4*d = 2*q + 32. What is n(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 864 - 859. What is the smallest value in -0.3, 17, 1, 0.1, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1406\/3 + -468. Let f be ((-1)\/(-5))\/(24\/40). What is the third biggest value in 0.4, -5, f, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 189\/1357 - 39\/59. Are s and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from rrrqbbqxorxroorrqbxj.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f + 5*z = 47*f - 0 - 11, 23 = f - 8*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48169 = -443*u + 79179 for u.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2477 - -2508. Calculate the highest common divisor of 2511 and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 20. Let s = -8 + 11. Suppose 0 = -4*i + 6*i + 2, 3*j = s*i + 69. What is the remainder when j is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b + 155 = -8*b. What is the biggest value in b, -1.6, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 18*i**2 + 84*i - 184. Calculate the remainder when c(13) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*d - 43*d + 3*x + 6 = 0, 2 = -2*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.097843 to 2 dps.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2500)*5 - sqrt(25))\/(sqrt(5)*-3*1)*5.\nAnswer: -245*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*s + 22, 5*n - 15 = -s + 11. Suppose -2*u - 44 = -n*u. Suppose 2*w = u - 5. Solve -12 = -0*a + w*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4715 - 2596. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411667?\nAnswer: 411667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20*4\/16*-3. Let p(v) = v + 7. Let r be p(y). Let q = 34\/3 + r. Is 3 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-270 + 350 + 322)*(-2 + 4 - 1)*(-1 - 2*o + 1 + (4 - 3*o - 4)*(-3 - 2 + 3)) as r + l*o and give l.\nAnswer: 1608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.991032 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361561 is divided by 2453?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2110756279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/111 - -285\/74. Let j = -48 + 50. Find the common denominator of j - (-15)\/(-9) - (-167)\/30 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3 - 184*z**2 - 2090*z + 108900 = 0. Calculate z.\nAnswer: -55, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 + 21*z - 4. Give p(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4*l + 4, 1 = -2*b - 3*l + 3. Let i(r) be the first derivative of -1 - r - 1\/2*r**2. Let h(p) = 7*p + 7. Give b*h(w) + 5*i(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 1 - (9 + -6). Let b(l) = l. Let s be b(g). Suppose 0 = 5*c + 3*f - 28, 2*c + 4*f + s*f = 0. What is the least common multiple of 5 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33527\/61840 - -18\/3865. What is the common denominator of n and 7\/25?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -225, 0, -2 in decreasing order.\nAnswer: 5, 1, 0, -2, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 0. Let j(g) = -15*g. Let f be j(q). Let n = f - 9. What is the highest common factor of n and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -295 + 298. What is the smallest value in -0.07, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*w = -14, 18 = -5*b + 2*w + 44. Suppose -147 = -7*r + b*r. Suppose -10 = -u + r. Is u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -447 (b) 0.505 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -14\/5, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7333014 and 7333014.\nAnswer: 7333014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 + 6 + 11 + 4.\nAnswer: -5*a**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/10*((-120)\/(-9))\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 10*w - 8. Let q(o) = -2*o**2 - 21*o + 17. Calculate 13*j(h) + 6*q(h).\nAnswer: h**2 + 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - 9)*65\/(-52)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.62 minus 0.4?\nAnswer: 3.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f**2 - 11*f + 138. Let y(w) = 13*w**2 - 15*w + 208. Determine 7*i(m) - 5*y(m).\nAnswer: -2*m**2 - 2*m - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 244549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 480 = 10*w. What is the remainder when 628 is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 4*s. Suppose 3*j + j = -4*v + 3751992, s = -3*v - 6. What is j rounded to the nearest 10000?\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*((sqrt(162) - sqrt(162)*-1) + -5 + 4 + 0 + sqrt(162)))**2.\nAnswer: -864*sqrt(2) + 23344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -28540 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-102)\/68)\/((-6)\/16). Let w(o) = o - 8. Calculate w(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2.01. Let k = 0.0099965 + q. Round k to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -24 (c) -0.1 (d) 4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10, 0, 14, 32?\n\"Answer: 2*k**2 + 4*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 4. Let c(j) = 1. Let w(n) = 6*c(n) - 2*z(n). Let y be w(-3). Suppose 0 = 3*t + 2 - 29. Solve t = 3*a + 2*l, -5*l = 2*a + y - 21 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -0.4, -4, -5, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 26 = -2*o, 15 = m - 4*o + 5. What are the prime factors of (-2 + (-9)\/m)\/((-2)\/472)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 2:59 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 - 145*q - 581. Give i(-4).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7359*n - 80784. Determine m(11).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 12*k**2 - 89*k - 53. Give b(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24197 + -14480. Round c to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2100 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004463989 to 4 dps.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.555 + 0.955. Which is the nearest to -1? (a) l (b) -5 (c) 0.5 (d) -2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126*b**2 + 5*b - 80 wrt b.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14342 - -2?\nAnswer: -14340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivvivivoiiovvvi. Give prob of sequence vivv.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -49 + 94 - 44. Let c(d) = d**2 - 6*d - 2. Let h(l) = c(l) - 3*f(l). Let u be 54\/8 - 3\/(-12). Give h(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*i = 16, i - 5 = -2*v + 4. Determine k, given that 2*k + k + k**2 - 2*k**2 - v*k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 0*g**2 + g**2)*(-2*g + 0*g + 0*g) + 5*g**3 - 5*g**3 - 17*g**3.\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/12*12*(-2)\/(-81).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30139957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l**2 - 2*l + 85. Let s(c) = 4*c**2 - c + 43. Give -2*p(v) + 5*s(v).\nAnswer: 2*v**2 - v + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-749)\/1 + -4 - (3 + 1). Suppose 0 = l - 4*p + 450, 5*p - 1822 = 2*l + 2*l. Let q = l - t. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 3*p + 4*p)*(-2*p - 3*p + 14*p)*(p**2 + p - p + (0 + p + 0)*(3*p - 5*p + 4*p) - 2*p**2 + 2*p**2 + 2*p**2 - 3 - 2*p**2 + 3).\nAnswer: -54*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2775 - -2?\nAnswer: 2777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 32547*(-1)\/(4\/(-4 + 0))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 192*n - 190*n + 16, 2*n = 4*u - 32. Solve 2*f + 3 = g, -u*g + 299 - 287 = -4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**7\/70 - 13*n**6\/8 + 68*n**5\/5 - 69*n**4\/2 + 7*n**2 + 24*n. Factor p(l).\nAnswer: -3*l*(l - 2)**2*(l + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/3 (b) -0.1 (c) -1\/2 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 12*n**2 - 2287*n - 20260. What is b(-9)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 24 = -2*r, 0 = r - 2*j + 6 + 2. Let c(k) = 834*k + 828*k - k**r - 1662*k. Let p(t) = -28*t + 2. Calculate c(p(i)).\nAnswer: -784*i**2 + 112*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 273 - 156. Is 276445\/q + 4\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/1)\/((-16)\/(-8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*q = -16, 3*u - 2*q + 16 = -7*q. Calculate the remainder when u is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1717009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456*p**3 - 206*p**3 - 80*p**3 + 1562*p**3 - 346*p**3.\nAnswer: 474*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 3*h - 4. Let p = 2 + 1. Let l be u(p). What is the third biggest value in l, -1, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 48 = 18. Let g be (-69)\/p*(-17736)\/3. Suppose -3*r - g = -4*a, -2*r + 5 = -3. What is a rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -43*l. Let u(i) = 31*i**2. Determine m(u(t)).\nAnswer: -1333*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9*v - 6. Let t(g) = -5*g + 2 - 2 - 5*g - 5. Let q(s) = -6*t(s) + 5*w(s). List the prime factors of q(5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 42, 90, 156, 240, 342?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + x - 58 = 0, d = 5*d + 3*x - 42. What is the third derivative of d*l**4 - 20*l**4 + 10*l**4 - 16*l**2 wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*f**2*r**3 + 4*f**2*r + 4*f**2 - 2*r**3 - 2*r**2 - 7 wrt r?\nAnswer: 498*f**2*r - 12*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 202 = -2*b, 3*x - 116 = -2*b + 51. Find z such that 2*z**4 - 3*z - 2*z**2 - z - 91 + 4*z**3 + b = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 3\/5056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28302 + 28388. Solve 5*c + 25 = z, -z + w - 69 = -3*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -9*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in minutes?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3281 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 9*h**2 - 3737*h - 4. Give c(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*a**4 + 981*a**3 - 489546*a**2 wrt a.\nAnswer: 1272*a + 5886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 50. Let a be l(0). Let w be (-4 - 45\/9)*(-4 - 1). Let d(j) = -2*j**2 + 92*j - 15. Let h be d(w). What is the greatest common factor of h and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 5:32 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 33 = -13. Let q be (-3)\/(-6)*c*2. Let r = -0.022 - -0.422. What is the closest to -1 in r, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1034*v - 3022*v = 1431*v + 153855 for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*b**6*g + b**3*g - 2*b**2 + 133*g wrt b.\nAnswer: 3000*b**3*g + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**4\/4 + 7*y**3\/3 + 3*y + 2. Is o(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, n: 3, o: 6}. Give prob of picking 1 n, 2 o, and 1 t.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-5 - 3) + 6 + 0 + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4*3\/(-36) - (-28)\/6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -902*p**3 - 2916 - 1145 + 2337 wrt p.\nAnswer: -2706*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 5*s**2 - 5*s - 2. Let m be k(6). Suppose -z - m = -0*z. Let j = z - -27. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 - 707*h - 6001 + 3004 + 2997 to y + d*h**2 + c*h + b*h**3 and give c.\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2827\/2 + -1460. Calculate the common denominator of (-2)\/7 + 3825\/770 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 377*m**6 - 90*m**3 + 146455*m**2 + m wrt m.\nAnswer: 45240*m**3 - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 20)\/(-5) - 0. Suppose 0 = -p*t + 5*t - 46. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*q + 71, 4*b - 8 = -2*q - 36. Let a be ((-6)\/(-5))\/(q\/(-50)). Let d(c) = c**2 + 2*c - 3. Give d(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0055017655399 plus -1.8?\nAnswer: -1.8055017655399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1755 and 52\/675.\nAnswer: 8775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/174 and 11\/76704?\nAnswer: 2224416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 10. Let s(b) = b**3 + 6*b**2 - 2*b - 7. Let a be s(c). Suppose -5*v + 348 = p, -7*v + a*p + 330 = -2*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, -3\/2, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 82*i**2 - 5573*i - 204. Calculate x(68).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 392419328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26449*l**2 - 26700*l**2 + 53166*l**2.\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 504756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 370*o = 374*o - 156, 5*w + 3*o - 95 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -61494.7 times -447\nAnswer: 27488130.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 13779 - 13844 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 11:37 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 2:28 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -865.\nAnswer: 13\/865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10733\/14 + -767. Let r be (-27)\/9 - ((-3122)\/182 + 14). Put 0.1, t, r in ascending order.\nAnswer: t, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14315878 and 2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*y - 16698 = 1339*y + 8855 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 15. Sort v, -5, 0, 3 in decreasing order.\nAnswer: v, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41583420724 from -10.32.\nAnswer: 41583420713.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -666613, -666610, -666605, -666598, -666589, -666578?\n\"Answer: x**2 - 666614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/17, -2\/17, 4, 3, 88\/7 in ascending order.\nAnswer: -4\/17, -2\/17, 3, 4, 88\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**2\/2 - 3*t + 153. Calculate f(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - a = 0. Which is greater: a or -2\/49?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-20))\/((-7)\/(-35)). Find the second derivative of d - 19*d**v - 17*d - 4*d**2 wrt d.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -302 - -4?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - ((-1000)\/(-45))\/(-4)) + 124\/(-126).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 0*n**2 - 3*n + 3*n + 7*n - n**2. What is c(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-16 + -11 + 8 - (2 + 7))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5103 = -1130208*u + 1130289*u for u.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(209)*-2*-1 - sqrt(209)))\/(-4*(sqrt(11) + (sqrt(132)\/(sqrt(132)\/sqrt(11)) - sqrt(11)) + sqrt(11))).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4854 = -7*i - 37*i - 4722. What is the highest common divisor of 1592 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {y: 3, k: 2, i: 10}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 45 = -0*o. Let b be 2\/o - (-6)\/27. Let x be 3 + b + 2 - 1. Solve -x + 0 = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69808 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d. Let v = 8 + d. Is 8 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -2964110.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 163 + -162.7. What is the third biggest value in o, -0.4, 2.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 660953962*n\/7 - 188843988\/7.\nAnswer: -2*(n - 47210997)*(7*n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -16*h**2. Let u(v) = -v. Let x(i) = i. Suppose 5*d - 23 = -2*j, -d = d + j - 10. Let n(l) = d*u(l) + 5*x(l). Determine n(f(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7467*s + 208393. Give y(-28).\nAnswer: -683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -25. Suppose u - s = -3. Solve 5*p - 14 = u*o, -2*o - 4 = -o - p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 2\/3, 1\/7, 2, 12?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72982889*u**3 - 36491602*u**3 - 36491293*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90 + -26. Is 15 a factor of m\/12*261\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 165 = -11*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -24. What is the hundreds digit of ((-160)\/(-6))\/(q\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -676*v - 631*v - 1786*v**2 + 1307*v in the form u*v**2 + y*v + x and give u.\nAnswer: -1786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (16 - (-7 - -15)) + (0 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432876 and 649314?\nAnswer: 1298628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20354 and -1.\nAnswer: -20354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2750*b - 9045. Determine l(-3).\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 700390 and -20020.\nAnswer: 680370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, 5, 1.\nAnswer: 1, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1841146481.\nAnswer: 23, 80049847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 6*d**2 - 9\/2 + 3*d - 3\/2*d**4 - 3*d**3 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/4))\/a*a**(-3\/2))\/(a**(-1\/3)*a)**(-10) assuming a is positive.\nAnswer: a**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 1, -19 in increasing order.\nAnswer: -19, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 437 + 123. Let m = -40 + p. What is the greatest common factor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 14 = -46. Let m(y) = -y**3 - 14*y**2 + 119*y + 25. Let n be m(-20). What is the greatest common divisor of f and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 59311.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7857 is divided by 393?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -8\/35 (c) 1 (d) -2 (e) 11 (f) -99 (g) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7926971, -7926976, -7926981?\nAnswer: -7926986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(3 - 7 + 3)*(-v**2 + 2*v**2 - 4*v**2).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = 8*z + 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**3 + 3*o**2 - 4*o + 2. Let v(z) = -z**3 - z**2 + z - 1. Let q(r) = -h(r) - 4*v(r). What is q(2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12073.2269 rounded to 0 dps?\nAnswer: 12073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k + 350. Let n be l(-34). Calculate the greatest common factor of n and 1898.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14013579 is divided by 553.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552428 is divided by 276209?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 6:12 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 388552 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 113451069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*d - 335, -15*d - 1711 = -5*c - 12*d. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 147864932*v**2. Let w(y) = y**2. What is w(p(d))?\nAnswer: 21864038115364624*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53.47 + 53.477196. What is i rounded to four dps?\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euullzusiilz. Give prob of sequence zze.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -47513 less than 0.918698?\nAnswer: 47513.918698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35211689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, j: 4, a: 1, f: 4}. What is prob of picking 2 v and 1 j?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1778)\/(-8) + 4\/(-16) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*b - 2269 - 2654 = -86*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7.6, -26, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7300 and 138700?\nAnswer: 138700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 17*d - 234. Let r be t(14). Suppose r*i = -12, -22*l - 3*i + 1398 = -19*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 - -1.8. Let t = -3.96 + w. Let g = -3 - -2.9. Is g <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -28. Let h(d) = d**3 + 9*d**2 + 4*d + 2. Let n be h(v). Calculate the highest common divisor of n and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*p - 23 = -4, 0 = -f + 2*p + 14. Let n(k) = 10*k + 2. Let t be n(4). Let s = t + 17. Calculate the remainder when s is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 5*d + 4*d - 80*d - 29*d - 143*d + (2 - 3 + 2)*(1 - 1 - d) + 5 - 6*d - 5.\nAnswer: -258*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 7*y + 9. Let v be s(6). Suppose -v*f = -x - 8*f + 86800011, -86800008 = -x - 4*f. Let q be 4\/14 + x\/14. Round q to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/3*-2)\/(1\/(-12)). Suppose 14*u = s*u + 24. Solve 0 = 3*x - u*q + 3, 3*x - q = q + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3871.9 - 3872. Which is the fourth smallest value? (a) n (b) 1 (c) 0.5 (d) -395 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199997581061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + h)*(3 - 2 + 1) - 17*h + 110 - 43 - 69 + 7*h in the form a + g*h and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4390 or -1791169\/408?\nAnswer: -1791169\/408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x - 3. Let o be s(2). Suppose 2*i = 3*y - 87, 2*i = o*y - 0*y - 145. Suppose 5*n - 51 = y. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1129, 2271, 3425, 4597, 5793, 7019, 8281?\n\"Answer: n**3 + 1135*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-3)\/(-72)*20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1361, -5479, -12341, -21947, -34297, -49391, -67229?\nAnswer: -87811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -29*u**5\/15 + 1653*u**2. Let n(o) = 23*o. What is n(t(b))?\nAnswer: -2668*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5674600, -5674604, -5674610, -5674618?\n\"Answer: -j**2 - j - 5674598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66134 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22952801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3*l*l**9)\/(l**(-1\/3))**(-3\/8))\/((l\/(l*l**0*l))**(-4)*l**(6\/5)\/l**(4\/7)) assuming l is positive.\nAnswer: l**(2309\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 19 = -2. Let w(r) = 7*r - 45. Let y be w(7). Sort y, f, 3, -5 in ascending order.\nAnswer: -5, f, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4\/2 + 12*a**3 + 51*a**2\/2 - 3*a - 36 = 0. What is a?\nAnswer: -4, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 78530723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 - 76. Calculate the highest common divisor of 45 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -701610*g**3 + 779347?\nAnswer: -2104830*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136 and 272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*d + 22*d - 33*d + (-2*d + d + 0*d)*(-1 + 1 + 1) - 4*d - 2*d + 3*d + 48*d - 91*d + 60*d as z*d + p and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2165721.8000017 - -2165722. Let x = p + -0.2. Round x to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 311404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 168410?\nAnswer: 168413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17d529 (base 16) to base 10\nAnswer: -1561897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 5*j - 33, 5*j = d - 40 + 61 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 6*h = -5*w + 30, -2*w + 3*h + 16 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -212, -298, -364, -404, -412, -382, -308?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}