{"text":"Question: Let f be (-6)\/(-15) + 96\/(-15). Let x(z) = z**2 + z - 12. What is the tens digit of x(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is t in -3*t**2 - 133032*t + 14803515 = 0?\nAnswer: -44455, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 207541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 3008044310 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that 2*r**3\/7 + 59284*r**2\/7 - 296470*r\/7 = 0.\nAnswer: -29647, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*o + 42*o - 1196 = 0. Let c = 74 + -30. Calculate the remainder when c is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, 10, 831\/2467?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 2192088383 to the power of 1\/2, to the nearest integer?\nAnswer: 46820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 1971*p = 2768*p - 5579 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 12*b**2 - 5*b - 5. Let i(u) = u**2 - u - 1. Let k(r) = 15*i(r) - 3*q(r). Let h(p) = 3 + 7 + 2*p - 5 - 5. What is h(k(m))?\nAnswer: -42*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + 1 + 1 + (17 - 21 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 211, 374, 537?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 2956.67 millimeters to nanometers.\nAnswer: 2956670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be -6*(-5)\/(-9)*3. Sort 4, g, 1, 3 in increasing order.\nAnswer: g, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -10*f - 162. Give t(-5).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 - 2 = 2*v. Let i be (-2)\/(-8) - 521\/v. Round i to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -359, -713, -1057, -1385, -1691, -1969?\nAnswer: -2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 494 - ((-16)\/28)\/((-18)\/63)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w**3 + 18*w**2 - 22*w. Let d be y(-19). Suppose -4*n = 10 - 86. Calculate the greatest common factor of n and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -60, -72, -92, -120?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be -2*(-1 + 10\/(-4)). Calculate the common denominator of -101\/6 and -3 + ((-1491)\/30)\/i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = 2*d - 5. Suppose -791 = d*p - 4266. Suppose 280 = -5*z + p. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53421547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 4*c**2*v + 3883*c**2 - 57*c*v wrt v?\nAnswer: 4*c**2 - 57*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 25402 - 25445. Sort 0.4, -1\/2, j, 5, -6 in descending order.\nAnswer: 5, 0.4, -1\/2, -6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -78*l**2 + 9557188*l - 490112.\nAnswer: -2*(l - 122528)*(39*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aaoooovoaaooooovomom. What is prob of picking 1 o and 2 m?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the first derivative of 0*i**2 - 44*i + 0*i**3 - 28 + 0*i**4 - 28\/5*i**5. Differentiate t(g) with respect to g.\nAnswer: -112*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 75 = -i, -i - 2*t + 79 = 7. Let n = i - 43. Suppose -4*f = -3*p + n, 9 = -f - 2*f. Solve -p*h + h = 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1 + 1. Let c(r) = -2*r + 4. Let u be c(k). Let q(x) = 5*x + 2 + u*x - 5*x + 7*x. Let h(y) = -y. Calculate 5*h(p) + q(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 457 minutes after 8:33 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is ((-54)\/363)\/(-26 - 8381\/(-319))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -45.412 - -45.4101829. Round c to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8801999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 40\/6*(2 - 696\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the first derivative of -51\/5*a**5 + 0*a**3 + 21 + 0*a**4 - 26*a + 0*a**2. What is the first derivative of h(b) wrt b?\nAnswer: -204*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1252153 (base 7) to base 6\nAnswer: 3303241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -10011001000011111010 (base 2) to base 10\nAnswer: -626938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x + 8 = 2*u, x - 96*u - 8 = -98*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 153623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -1136025 divided by -187?\nAnswer: 6075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*d = -40*d. Let s(m) be the first derivative of -5 - 16\/5*m**5 + 0*m**4 + 9*m**2 + 0*m**3 + d*m. What is the second derivative of s(b) wrt b?\nAnswer: -192*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gghgggohhhhgoihhc. What is prob of picking 1 c, 1 g, and 1 h?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is c in 4*c**2\/3 + 14204*c\/3 + 9464 = 0?\nAnswer: -3549, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = x - 115, 3*f = 4*x - 452 - 47. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*m + o + 207, 0 = 4*m + 4*o - 0*o - 192. Calculate the greatest common divisor of 34 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) 0.22 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0003823728 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -57, -66, -77, -90, -105, -122?\n\"Answer: -l**2 - 6*l - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -2*v**3 + 5*v**2 - 21*v + 11. List the prime factors of q(-6).\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 87985 is divided by 87570.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 19, -1, -35, -83, -145, -221, -311?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the first derivative of -27*d**2\/2 + 106*d - 52. What is the first derivative of t(b) wrt b?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 21*x + 130. Let j be t(-6). Let q be 1\/((-4 - 40)\/j). Which is the second biggest value? (a) 29 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -62, -129, -196?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m = 120*m - 996018. What are the prime factors of m?\nAnswer: 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1\/(-3))\/(20\/15 + 0). Put 2\/5, y, 3\/4 in increasing order.\nAnswer: y, 2\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3123 + 11?\nAnswer: -3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 22\/17 - 86\/119. Let n(p) be the first derivative of -1 + 3\/7*p**2 + t*p - 10\/21*p**3. Factor n(j).\nAnswer: -2*(j - 1)*(5*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 0.6, -0.0719, -1\/10, 79 in descending order.\nAnswer: 79, 0.6, -0.0719, -1\/10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 144\/(-324)*259\/74.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -44\/12825 and -83\/450.\nAnswer: 25650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a + 16. Suppose 0 + 8 = -2*j, j = 5*c - 4. Let h be t(c). What is the greatest common factor of 80 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 2*w**2 - 97*w - 473. Let k be c(53). Suppose 3*f - 5*f - 6 = 0. Let t = 3 + f. Solve 3*l - 3 = -4*m, t*l = k*m + l + 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1714 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -66978*a**2 + 1193932 wrt a.\nAnswer: -133956*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/5 and -31\/8720.\nAnswer: 8720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -12359\/18 or -688?\nAnswer: -12359\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -p + 3*t + 17 = 25, 3*p - 4*t = -9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**2 + 3*s - 4. Calculate the lowest common multiple of j(-6) and 38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/6, 11, -545671 in descending order.\nAnswer: 11, -1\/6, -545671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14 + -7. Suppose 0 = 4*z + 4*o - o - 13, z + 2*o = t. Is z\/((-3)\/(-9)) + 80 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2805679 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + -1 - (4 - 13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (101\/(-303))\/(1\/27) + 10*-1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 34.73 + -34.83. Which is the nearest to k? (a) -1\/4 (b) -1\/17 (c) 193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -46, 0.023, 0.1, 2, 2\/7 in increasing order.\nAnswer: -46, -5, 0.023, 0.1, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*i + 0*i + i)*(-7 - i + 11 + 7*i**2 - 2).\nAnswer: -21*i**3 + 3*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 20\/171 and -151\/18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + k = -3*k - 14, -4*z + 5*k = -40. Suppose -3*i + z = -0. Solve 7 = 2*t + l, 3*l + 14 + 20 = i*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - -83.7.\nAnswer: 84.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w - 2*i + 8, w + 16 = 5*i - 0*i. Let y = w + 3. Suppose 0*b = -b + 4. Solve y*h - 6*z + 2*z = -20, 0 = h + b*z - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 10 - 11 + 6*b - 36*b as m*b + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 3*u - 1. Let g be r(1). Suppose 4*i - 6000 = g*i. What is i rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 (base 14) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -2343446 > -2343445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-2)\/4)\/((-6)\/12). Let v be (1 - 1 - -1)\/o. Let j be v*(-6)\/3 + 2. Let g(h) = h**2 - h + 1. What is g(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(180) - sqrt(20))\/(-2*sqrt(1000) - sqrt(1000)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -2*u**3 - 7*u**2 - 3*u - 16. Let s be z(-4). Let h be 3\/(-6)*(-18 + s). Calculate the highest common divisor of h and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*b = -9*b - 3*r - 1, 0 = 3*b - r + 18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by -34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the second derivative of 0 - 14*g + 1\/30*g**6 + 0*g**3 + 0*g**2 + 1\/20*g**5 + 0*g**4. Let k(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - l**3)*(17 - 2*l**2 - 17) + (4*l**4 - 2*l**4 + 0*l**4)*(1 - 1 - 2*l) - 4 + 4 + l**5.\nAnswer: -l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -12*r - 2. Let p be k(-7). Suppose 12 - p = -2*c. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16 - (-9 + (70 + 4 - (76 - 90))).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64*s = 54 + 10. Is -6\/509 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1931273*z - 3862553*z + 1931287*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 29, 100, 209, 356, 541, 764?\n\"Answer: 19*o**2 + 14*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 5.597107s?\nAnswer: 5597.107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -67.892 + 67. What is g rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the third derivative of a**5\/90 - a**4\/4 - 22*a**3\/9 + a**2 + 98*a. Factor l(x).\nAnswer: 2*(x - 11)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1182001 and 1655.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-19)\/(-2))\/((-1)\/(-6))?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 68a (base 14) to base 10.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1021 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Are -2 and -9115 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**2 + 68*f - 108. List the prime factors of s(46).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*p**4\/5 - 588*p**3 - 493768*p**2\/5 + 2117472*p\/5 + 3236608 = 0. Calculate p.\nAnswer: -470, -269, -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be (9 - (-3 - -4))\/(-5). Suppose 4*i - 6 = 2*i. Suppose u - i + 2 = 0, -4*u = f - 1. Which is smaller: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 116 divided by 99?\nAnswer: 116\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8 - -9. Let d(o) = 46*o**3 + o**2. Let v be d(k). Suppose 11 = -2*h + v. What is the remainder when h is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 6*i - 12. Let r be a(3). Let k(u) be the third derivative of u**4\/24 - 4*u**3\/3 - u**2. Give k(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 659885034 - 7*m - 659885034 - 115*m**2.\nAnswer: -115*m**2 - 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d**3 - d**2 - 11. Let n be k(0). Which is bigger: n or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -17, -1\/13, 2\/13, 14?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5356?\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the second derivative of v**4\/12 - v**3\/6 - v**2 - v. Let l be t(4). Let w be (-36)\/(-8) + 2\/(-24)*6. Solve w*b = -l + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3500 and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**3 + 5*s**2 - 5. Let i be r(-4). Let c = -11 + i. Solve -4*x = -c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 2, i: 2, p: 1, u: 8, z: 2}. What is prob of sequence ieze?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 921936749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 289896510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*y - 8*y - 3*y + 14*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + v - 1 = 1, v = -4. Let t(k) = -58 - k**d - 2*k**3 + 4*k**3. Let q be t(0). Round q to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-810)\/72*564\/705.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -172 - -178. Is 406 + (f + -2)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5297881 at least as big as 5297882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the first derivative of l**2 - 6*l - 1062. Let x(d) = -2*d - 3. Let v(a) = 3*a + 4. Let b(i) = 5*v(i) + 7*x(i). Give 4*b(g) - f(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 76 + -109. Let p = l - -35. Suppose -6 + 12 = -2*r. What is the nearest to p in 2\/11, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*a*g**2*z + 4456516*a*g**2 - 4*a*z + g*z + 523*z wrt z.\nAnswer: -2*a*g**2 - 4*a + g + 523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1001 - 10100110000?\nAnswer: -10100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -2*g. Suppose 0 = -5*r + 18 - 3. Let z(b) = 5*b. What is r*z(m) + 7*a(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -2\/879?\nAnswer: -2\/879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Do 1160 and -0.0831 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8900 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r be 5*8\/(-60)*(-9)\/(-1). What is the units digit of 28\/r*90\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nllvnlnlllnfv. Give prob of sequence lnv.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 231 and 278355.\nAnswer: 278355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -8 - -15. Suppose -4*h = -3*t + 19 + 5, 5*t - 14 = -2*h. Put h, 3, j in increasing order.\nAnswer: h, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -291 + 555\/2. Find the common denominator of n and 29\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 394 minutes before 4:52 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -298*w - 4*q - 28 = -306*w, -3*q - 43 = 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -4 bigger than -50\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 818524.\nAnswer: 2, 7, 23, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 962001809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.03 - -4.03. Let i = 1 + -3. What is the nearest to i in -2\/3, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 366185 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 3 + 0)*(0 + 4 - 3)*(1585*j**2 - 1585*j**2 - 120*j**3).\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1167397, 1167399, 1167411, 1167433, 1167465, 1167507, 1167559?\nAnswer: 1167621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 6 = 3. Let s(b) = 12*b**3 - 9*b + 9. Let l = 4 - 3. Let k(h) = h**3 - h + 1. What is c*k(n) + l*s(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 2*f + 4. Let y be t(4). Suppose -4*z - 1 = -5*z. Is (z + y\/(-9))*-15 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*j + 40 - 40 + (4 - j - 4)*(1 - 5 + 3) + 1 + j - 1.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -d**3 + 3*d**2 - 2*d + 5. Let g be z(3). Which is the second biggest value? (a) 3\/7 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = -0*m - 2*m + 128, 4*m - 3*q = 241. Suppose 2*b - b - m = 0. What is the remainder when b is divided by 20 + (3 - (2 - -1))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*t - 36*t = -132. Calculate the lowest common multiple of 161\/14*5*(t + 2) and 18.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0005 times -643547?\nAnswer: 321.7735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 80 + -48. Let j(s) = -s**2 - 5*s + 24. Let l be j(-8). Suppose 5*h - d - 63 = l. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -4 (b) -15 (c) -0.083\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 44 divide 1323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 1110110 (base 2) to base 14.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1091\/48 + 91\/4. Let f(o) be the second derivative of 0 + 1\/24*o**3 + b*o**4 - o + 0*o**2. Suppose f(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -7 by -7658.\nAnswer: 1\/1094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i + 5*h = -68 - 282, 5*h + 352 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*u = -20*u + 10. Suppose -5*j + u*z - 6*z = -22, -2*j = -4*z + 8. Solve o = -0*o + j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 758.34807 to 0 decimal places.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the first derivative of -g**2 - 11*g + 64. Give k(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1 + 1. Let g = -17 + 16. Is g <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 74*v = 73*v - 1, 0 = 6*z + v - 167231. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a such that 75*a**4 + 600*a**3 - 252*a**2 = 0.\nAnswer: -42\/5, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1607112 is divided by 175.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 310\/(-465)*2\/(-20)*6\/(-17)?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) be the second derivative of 4*f**7\/105 - 2*f**6\/15 + 4*f**5\/25 - f**4\/15 - 11*f. Factor x(c).\nAnswer: 4*c**2*(c - 1)**2*(2*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -67*l**2 - 63*l**2 + 132*l**2 + (4*l**2 + 0*l**2 - 2*l**2)*(-4 + 0 + 2) in the form v + r*l + q*l**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (56\/(-72))\/((-15)\/405)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.006, -0.2, 42.\nAnswer: -0.2, -0.006, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 7 (b) 318 (c) 30 (d) 4 (e) 0.072\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-4)\/(-10))\/((-6)\/30). Let a be 10 - 0\/(-2) - v. Solve -a = 3*c - 0*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7*f**5 + 9049*f**4 - f**3*x - f**2*x + 896*f**2 - 5 wrt f.\nAnswer: 420*f**2 + 217176*f - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 125797510 rounded to the nearest 100000?\nAnswer: 125800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 20903, 39763, 58613, 77447, 96259, 115043?\n\"Answer: -h**3 + h**2 + 18864*h + 2039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -137 - -7?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 200 + -200. Do -3\/185 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve q = 3*p + 3*q - 6, 0 = 2*p - 3*q - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -10*p + 9*p + 0*p - 6*p. Let c(z) be the third derivative of z**4\/24 - z**2. What is c(r(g))?\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5387 - -17775. Calculate the greatest common divisor of w and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 152*a**2 + 9872*a - 488. Calculate k(-65).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1007062?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (72*v + 120*v - 15*v)*(-8*v + 0*v + v)*(-4 - 3 + 5) in the form c + s*v + q*v**2 and give q.\nAnswer: 2478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 29 = -5*c, -10 = -h - 2*c + 4. Suppose -l - h = -6. Let a(n) = l*n - 4*n**2 + 0*n - n - n**3 + 2 - 2*n. Give a(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1 (b) -18\/17 (c) 98 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 15328 + 2546. What are the prime factors of f?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnonnnonoocncnon. Give prob of picking 2 c, 1 n, and 1 o.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/(2*-2))\/(-1)*(-434)\/31?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2296 >= -231499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 2 = -5*y. Suppose -7 = 5*q - 2, -3*n - 4*q + 14 = 0. Suppose 14 = -4*m + n. Sort y, 0, m.\nAnswer: m, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 17*n. Let w be d(-1). Let v = w - -45. What is the remainder when 52 is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(-3\/4)*j**(2\/9)*j\/(j**(-1\/2)*j)*j*j*j**3*j assuming j is positive.\nAnswer: j**(215\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(432) + 0)**2*-1.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes after 9:02 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 13.1 - 2.1. Let f = 15 + x. Let y = 26.0068 - f. Round y to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the first derivative of s**6\/4 - 225*s**5\/2 - 8912. Factor p(c).\nAnswer: 3*c**4*(c - 375)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 84 a factor of 4864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -1 (b) -10 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**3 + 7*c**2 + 1. Suppose -4*m - 5*p = -2*p - 3, 5*p + 15 = 0. Suppose 9 + 9 = m*f. What is the remainder when j(f) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 353894 is divided by 29491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 11 and 12394492?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4*6\/84)\/((-60)\/(-35)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p**3 + 5*p**2 + p + 6. Calculate the lowest common multiple of d(-5) and ((-1)\/(-3) - -1)*(-6)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -38401198 divided by -5?\nAnswer: 38401198\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1376116, 2752179, 4128242?\n\"Answer: 1376063*l + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -11, 2\/3, 4, 0.14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 41528949 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9262477, 18524939, 27787401, 37049863, 46312325?\nAnswer: 55574787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 108 + -53. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 385 - 2a614?\nAnswer: -2a23a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -200, -90, 276, 1048, 2376?\n\"Answer: 25*g**3 - 22*g**2 + g - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 5626 divided by -52535?\nAnswer: -5626\/52535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -167081 - -3?\nAnswer: -167077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*2*-6*((6*(1 + sqrt(1331)) + (sqrt(1331) - (-5*(sqrt(1331)*-1 + sqrt(1331)) - sqrt(1331))) + sqrt(1331))**2 + -4).\nAnswer: -6470580 - 71280*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*g - 14*g - 36 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3978)\/(-78) + 2700\/(-52).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the first derivative of 0*w**3 + 13\/4*w**4 - 19 - w - w**2. Calculate l(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -7 by -323195.\nAnswer: 7\/323195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -21141011322 + 22?\nAnswer: -21141011300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 3*t - t = 134, 5*t - 143 = -2*b. Let n = -59 + b. Find j such that -35 + 9*j + 5*j**2 - 4*j + n = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 676 minutes before 9:05 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) be the first derivative of 2*h**3\/3 + 19. Let i(g) = -g. Calculate q(i(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -23\/2632 and -61\/2632.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 377 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 32277+-1\nAnswer: 32276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 95.733 + -4.733. Let p = -90.7043 - -0.1043. Let n = p + k. What is the biggest value in -2, n, 2\/27?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1527.6 - 1728. Let u = 224 + t. Let p = u - 24. What is the biggest value in p, -1, 4, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 4*l + 4. Let s = 12 + -5. Let d be j(s). Let c be (d\/(-40))\/((-2)\/20). Solve -2*w - c = -6*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -2*r**2. Let o(x) = -46*x + 5. Let y(b) = 851*b - 92. Let d(u) = -92*o(u) - 5*y(u). Give d(l(c)).\nAnswer: 46*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -4*f**2 - 2*f - 2*f**2 + 61 + 5*f**2 + 8. Is d(0) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 13 - 11. Let s = -9 - l. Let o = s + 12. Solve 3*a - o = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15660.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 13 (b) -2\/9 (c) -4\/3 (d) 0.55 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 5*p**3 - 2*p**2 - 8*p. Let m(g) be the second derivative of -11*g**5\/20 + g**4\/3 + 8*g**3\/3 - 166*g + 2. Determine 9*l(f) + 4*m(f).\nAnswer: f**3 - 2*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 140\/60*(-5)\/30*30\/35.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 73 and 5?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the first derivative of -y**5\/60 + y**4\/24 - 23*y**3\/3 + 71. Let j(a) be the third derivative of d(a). Determine j(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0 + 3. Let a = -114 - -213. Let d = 101 - a. What is the closest to q in d, -1, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(1\/3))**(1\/2)\/(q**(-6)\/((q**(2\/7)*q)\/q)) assuming q is positive.\nAnswer: q**(271\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g + 2*g + 8*w = -9, 3*w + 5 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -244*g + 940 with respect to g.\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10903676.\nAnswer: 2, 7, 55631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 184, -4\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1.366432 years in months?\nAnswer: 16.397184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be 8 - 11 - 1\/1. Which is greater: w or -18\/7?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:13 PM and 6:14 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) 2 (b) 0 (c) -22.8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -53*-2.47105\nAnswer: 130.96565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 11 and 6090733?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -139\/42 - -19\/6. Let f = 5.7 - 6. Which is the third biggest value? (a) h (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1356 + -1361. Sort m, -4\/3, -2\/11 in decreasing order.\nAnswer: -2\/11, -4\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -354 + 391. Suppose -2*b + l = -2*i - 5, -4*i + 84 = 4*b. Calculate the least common multiple of 35 and b.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yugg when four letters picked without replacement from {y: 1, i: 2, g: 2, v: 4, b: 5, u: 1}?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the first derivative of 3*l**2\/2 - 16*l - 21. Calculate the remainder when 51 is divided by c(14).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/12 + 8\/32?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**3 - 4*c**2 - 2*c + 1. Let k be s(-3). Let f be (1\/(-1) + 0)\/(-1). Let p be ((-2)\/(f + k))\/1. Which is smaller: p or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1361, -975, -585, -191?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:15 AM and 5:18 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -45 + 45 + (4 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -22447, -45213, -67979, -90745?\n\"Answer: -22766*a + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 102 divide 27374148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 114 = -3*q + 6*q. Calculate the remainder when q is divided by (29\/6 - 4)*(-3 - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -796*n - 2*n**4 - 147*n**2 + 498*n + 36*n**2 + 471*n wrt n?\nAnswer: -24*n**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 4*i - 4. Let z = -16 + 23. Suppose 262*k + 77 = 273*k. Calculate the remainder when y(z) is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -657 - -436. Let y be (-34)\/i - (-96)\/(-286). What is the biggest value in y, 3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3501)\/207 - -9 - -8?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-31)*j)**(5\/6)\/(j**5)**(3\/25) assuming j is positive.\nAnswer: j**(-128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -21*f**3 - 2*f + 1. Determine i(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7 + 4 + 4 - 8*g - 3*g.\nAnswer: -11*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*j - 82 = 53*j. Which is the smallest value? (a) j (b) -5 (c) 0.2 (d) -139\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 680 minutes after 8:42 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 1791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -9, 0.3, 2, -0.3 in increasing order.\nAnswer: -9, -4, -0.3, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, 6, -199817, 1\/6 in increasing order.\nAnswer: -199817, 1\/6, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -16 times -149?\nAnswer: 2384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 2*c**3 - 6*c**2 + 6*c + 2. Let l be (2\/2)\/(5\/15). Let m(s) = 5*s**3 - 13*s**2 + 13*s + 4. Let o(x) = l*m(x) - 7*v(x). What is o(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(132) - sqrt(132)*-2)*2)\/(sqrt(36)\/(sqrt(363) + (sqrt(363) - sqrt(363)*-2))).\nAnswer: -264*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*sqrt(13) + -5 - (sqrt(13) + 1 + 4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -17 + 11 - (-2 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p + 8*p + 20 = u, 16 = -5*u - 4*p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*l**3 + 3 - 1601*l + 122*l**5 + 3192*l - 1612*l wrt l?\nAnswer: 2440*l**3 - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c\/c**(-2\/3))*c)**(1\/16))**40\/((c\/(c*c**2))**30*c**(-2\/9)\/c**0) assuming c is positive.\nAnswer: c**(1099\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*q = 38*q + 621 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 54175 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 538 is divided by 265?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (((-2)\/(-72))\/(-1))\/((716760\/(-2112))\/181)\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 6*n**2 + 49*n - 641. What is l(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**2 + 4*x - 8. What is l(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3074, 3063, 3036, 2987, 2910, 2799?\nAnswer: 2648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2950736575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes before 3:11 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 - -13a3?\nAnswer: 139c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 9557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b be 27\/12*16\/6. Let y be (-50586)\/9 - b\/(-9). Round y to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + w + 24 = 0. Let d(y) = w - 2*y + 2*y - 7 + y. Suppose -13 = l + 4*f + 4, -4*f = 4*l + 20. Let v(r) = -3*r**3 - 4*r + 4. What is l*v(s) - 4*d(s)?\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 5\/(((-4)\/(20\/(-5)))\/1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 3*p = 796, 0 = 4*n + 28*p - 25*p - 653. What is the remainder when 965 is divided by n?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -2 + 2 - (-1518 - (-2 - 4)). Suppose 0 = -4*m + 72 + y. Does 44 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 313 - 369. Is u smaller than 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.2 from 1218.\nAnswer: 1218.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -120 - 104?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -55302*a + 798 = -55245*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/1*3 - (-17 - -21). Find the third derivative of 584*g - 79*g**4 + 1 - 1 - w*g**2 - 579*g wrt g.\nAnswer: -1896*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 585760*g**2 + 21087324*g - 1296.\nAnswer: 4*(g + 36)*(146440*g - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 230 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 3*b = -2*z - 11, 0 = z + 2*b + 13. Let p be -81*(z + 8\/3). Let r = 45 - p. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 160*b - 6857. What is a(43)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from occotibicdcccdccoc. Give prob of sequence dici.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w**5\/3 - 218*w**4\/3 - 458*w**3\/3 + 1562*w**2\/3 - 296*w = 0. Calculate w.\nAnswer: -4, 0, 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 455 and 4446.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the second derivative of 32*o**4 - 5*o**3\/3 - 2*o**2 - 12*o - 2. What is the second derivative of d(t) wrt t?\nAnswer: 768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4272688 or -0.1?\nAnswer: -4272688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = 2*u - 24 - 163, 4*u + f - 401 = 0. Calculate the remainder when 403 is divided by u.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + 1 + (6 + -8 - 4 - 8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeep?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1624791 take away 18386?\nAnswer: -18386.1624791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = -187 + 201. Solve 2*m + 25 = -u + 6*u, -m = -3*u + c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23062?\nAnswer: 2, 13, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s - 15 = 5*j, 598*s - 601*s + 4*j = -26 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-459)\/(-18)*((-3)\/(-12))\/((-114)\/(-304)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 298*i + 42. What is the lowest common multiple of f(3) and 8?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 166 = -4*k - 70. Let y = -53 - k. Let w(m) = -m**3 + 6*m**2 + 9*m - 6. Let j be w(6). Calculate the highest common factor of j and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 3, 0.4, -2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) 0.5 (b) 2\/341 (c) -1\/40 (d) -4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4530671.\nAnswer: 4530671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/36820 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 8*u**3 + 6*u - u - 16 + 8*u**2 - 7*u**3 - 19*u**2 as a*u**2 + o*u + s*u**3 + n and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 79 and 32311?\nAnswer: 32311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -24*c**2*m*w**2 - 2*c**2*w**2 - 2*c*w**3 - 29*c*w**2 - m*w**3 - 3*m with respect to m.\nAnswer: -24*c**2*w**2 - w**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 + ((0 - -1)*-1)\/(74\/(-370)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -6616.305 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/4 of a week in minutes?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(5 + sqrt(396) + (sqrt(396) - sqrt(396)*2) + sqrt(396) + 3 - (sqrt(132)*1*-3)\/((-1*sqrt(108) - sqrt(108) - sqrt(108))\/sqrt(9))))**2.\nAnswer: 1280*sqrt(11) + 5424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: ((-13167)\/(-418))\/((-1001)\/260)\nAnswer: -90\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 31.4 and 4.\nAnswer: 125.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2221123 - -12?\nAnswer: -2221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1a40 + 73?\nAnswer: -19cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -2*d + 14. Let j be h(9). What is the units digit of (-2)\/(-2 + (-16)\/j) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3 - 13325?\nAnswer: -13328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 610?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 462776735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**2 + 18*l + 14. Suppose 13*a + 13 = 4*w + 16*a, 4*w = -a + 23. What is the units digit of z(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5 + 3. Suppose 0 = 3*p + p + n. Calculate the lowest common multiple of 24\/11 + p\/11 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*d + 4*q + 13, d = -0*q + 2*q - 11. Sort -4, 4, d in descending order.\nAnswer: 4, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (325210 - 325210 + 560*a)*(-5 + 2*a - 3 + 7)*(-a**2 + a - a).\nAnswer: -1120*a**4 + 560*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 6983 or 19193?\nAnswer: 19193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 divided by -2649.\nAnswer: -7\/2649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:42 AM and 12:24 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 26 and 702.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7860 is divided by 265?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j be (114\/(-190))\/((-13329)\/(-10)). Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -21.86 + 21.72. What is the third biggest value in 44, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 138*w + 16. Let u be 765\/(-105) + 2\/7. Let c be o(u). What is c rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (32\/(-140))\/(3\/2*36\/(-189))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-2)\/(-6))\/(2\/42). Suppose -r - 25 + d = 0. Let o = -9 - r. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 78.9 - 74. Let k = -2.42 - -7.42. Let f = t - k. What is the closest to f in -4, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*n = -240*n + 1240 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.00098 - 2074.99902. Let b = u - -2074.907097. Let f = 0.093 + b. Round f to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -1. Let y(h) = -16*h. Let o(j) = 3*k(j) + y(j). Differentiate o(n) with respect to n.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 13) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12944)\/(-82518))\/(24\/(-102))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -890*n**2 - 3*n + 6. Let a(i) = 2*i**2. Determine z(a(r)).\nAnswer: -3560*r**4 - 6*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/(-3)*(-12 - 15). Let v be 2\/3 + 12\/i. Solve 3 = z + 5*m - 4, -v*z + 5*m - 16 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-7)\/(14\/(-20)) + -3. Let a(i) = -r*i + 0*i + 6*i. Let z be a(-8). Solve -z = 5*g - 2*p, 3*g - 3*p + 12 = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dudmubd. Give prob of picking 1 u, 1 m, and 1 d.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2 - -12. Suppose 0 = 9*i - r*i + 2. Let p be (i - 11\/6)*-4. What is the third biggest value in 2\/5, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, c: 1, k: 2, a: 1}. What is prob of picking 1 k and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 210, -679, -1\/15 in descending order.\nAnswer: 210, -1\/15, -679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-2)\/25)\/(-7*(-18)\/210). Sort 9, i, 0, -0.1 in ascending order.\nAnswer: i, -0.1, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7285.\nAnswer: 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -203 + 330. Let t = -53 + f. Calculate the remainder when t is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*sqrt(605) + -3.\nAnswer: -33*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**2\/2 + 1671*z - 10017\/2.\nAnswer: -(z - 3339)*(z - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 252167 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*k - 6*k - 10*k + (-2*k + 2*k - 2*k)*(-3 + 3 + 1) - 8*k + k - 4*k)*(-2*k - k - 4*k).\nAnswer: 238*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 23 - 5 = w, -b = -3*w - 10. Let a(f) be the first derivative of 0*f**2 - 2\/15*f**3 + 0*f - 1\/10*f**b - 3. Find x, given that a(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 195232039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 120571 or 120572?\nAnswer: 120572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = n + 332. Let i(j) = 2*j + 989. Calculate -3*i(v) + 8*r(v).\nAnswer: 2*v - 311","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the second derivative of v**4\/3 - 10*v**3\/3 - 17*v**2\/2 - 269*v. What is the remainder when 143 is divided by l(7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (226 - 10)*(-26)\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 0.0460163 millennia?\nAnswer: 46.0163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -107\/14 and 4\/(-10)*(-1410)\/(-48)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 86005742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2790071 + 39560416755\/14179. Let s = k + 76325005\/170148. Let d = 448 - s. Calculate the common denominator of 9\/11 and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 132 + 70?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*k - 2*k - 6313*k**2 - 3*k - 11*k.\nAnswer: -6313*k**2 - 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = n - 28. Let f be (-48)\/(-21) + (-4)\/n. Suppose 0 = -0*t + t + 2. Sort -4, f, t in increasing order.\nAnswer: -4, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -198.6 - -198.1. What is the third smallest value in f, 4, -217?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -14*f**3*o**3 - f**3*o - f**2*o + 12*f*o**3 + 45*f*o wrt f.\nAnswer: -84*o**3 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a + 4*s + 9, -4*a + 13 = 3*s - 19. Suppose -p = 25*p - 1222. Suppose v + 43 = p. Solve -5*g + 13 + 15 = -v*u, 16 = 2*u + a*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.8 (b) -1 (c) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2410*m**3 - 6*m**2 + 89*m + 48 wrt m?\nAnswer: -14460*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - 5*g + 224 = 0, 153 + 71 = 4*s - 5*g. What is the common denominator of -67\/8 and s\/50*(15 - 4 - 6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1319 - -1139. Do d and -180 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by 4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 42939*v**4 + 52*v**3 + 474*v**2 + 1518*v?\nAnswer: 1030536*v + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*(sqrt(187) + sqrt(187) + sqrt(187) + (sqrt(187) + sqrt(187)*2 - sqrt(187)))*1*3)\/(-5*(sqrt(1331) + 1*sqrt(1331)*1 - sqrt(1331))))**2.\nAnswer: 1377\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -135, -268, -401, -534?\n\"Answer: -133*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 27 and 1.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 22601874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2976 and 14016.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.2 + 0.8. Let v = 212 - 205. Let m = -1601\/28 - -402\/7. What is the second biggest value in v, m, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**3 + 4*y**2 - 5*y + 7. Let r be h(2). Suppose -5*q + 2*u - r = -3*u, -2*u + 10 = 2*q. Solve q = 7*z - 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by 1253.\nAnswer: -3\/1253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2, 0, 1, 2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -2 - (-9 + 26)\/(44\/(-66) + 1\/6)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -32891, -65761, -98619, -131459, -164275?\n\"Answer: x**3 - 32877*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22\/84 + 43\/((-5418)\/(-1080)) + 8\/(-1).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -4, -2\/3, -0.5, -1.9, 0.4, -6\/11, 2\/399?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.046 in -3, -59, 37.29?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000058322516 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5415 - 3444. What is the highest common factor of 189 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 37278 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 45405307?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*f**3 + 23*f**2 - f - 129*f**2 - 31*f**3 - f.\nAnswer: -12*f**3 - 106*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 6*-2*(-9 - (-95)\/10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 2*b - 42. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 33 = 3*j, -10*k + 3*j = -13*k - 72. Let g be (50\/35 + -2)\/(3\/k). Solve -4*y - 1 = 3*o, -2*o = g*y + 2*o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (4\/(-12))\/((-1)\/(-3)). Sort p, -3, 4 in increasing order.\nAnswer: -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 171*n + 24 = 179*n. Put n, 34, -2, 1 in ascending order.\nAnswer: -2, 1, n, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 258058.6cm to kilometers.\nAnswer: 2.580586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2769 + 5337. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:33 AM and 2:15 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 3\/2 (b) 1\/52 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -5 + (sqrt(17) + (sqrt(17) - (1 + sqrt(833))) + 1)**2.\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-141 + 147)\/(-1 + 52). Sort 5, 0.04, r, -1, 3.\nAnswer: -1, 0.04, r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -36*i**2 - 32 + 26*i**2 + 24 + 8.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 62 (base 8) to base 5.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 150 divide 272510744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -5*d. Let t(p) = 30*p - 15. Let b(m) = m - 1. Let w(a) = 15*b(a) - t(a). Let c(h) = 17*n(h) - 6*w(h). Let y(k) = 2*k**2. Calculate c(y(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -10*c - 15. Let j(l) = -5*l - 7. Let d(q) = 13*j(q) - 6*o(q). Let g be d(-3). Let a be (7\/g)\/((-1)\/(-10)). Round a to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2.9 - -1.1. What is u rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 28*t**2 + 2*t. Let y be f(-2). Suppose -2*i - 12 = -5*i, 5*k = 5*i + 40. What is the highest common factor of k and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -u**3 + 15*u**2 - 24*u - 14. Give z(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 38233533157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10825269.\nAnswer: 3, 7, 13, 19, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -53\/75492 and 11\/20.\nAnswer: 377460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 + 0 - 2)*(0*n - 2*n + 0*n) + 3*n - 2 + 2)*(-239 + 276 + 536).\nAnswer: 4011*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 11752168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**2 - 23*v + 11. Let j be q(6). Let n(s) = 13*s**3. Let p(x) = -195*x**3. Calculate j*n(m) - 6*p(m).\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1350 - 1604.25. Let n = 254 + q. What is the second biggest value in n, -1\/6, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -240909 - -339160. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 65051 + -23?\nAnswer: 65027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve l + 306 = 3*g + 368, 3*g - 3*l - l + 59 = 0 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 60088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 24534317 to the nearest integer?\nAnswer: 4953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*m**2 + 0*m**2 - m**2 + (-m**2 + 3*m**2 + 0*m**2)*(0 - 3 + 1) + (2*m + m - 2*m)*(-1 - 2*m + 1).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -4385*y - 4. Let i(g) = -1097*g - 1. Give 9*i(p) - 2*t(p).\nAnswer: -1103*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 7*t = -5*n - 20, t + 5*n = -26. Sort 3, -3, t, -28 in increasing order.\nAnswer: -28, -3, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13017498?\nAnswer: 2, 3, 13, 157, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1821*m - 1817*m - 1827*m - 1825*m + 7287*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001490544552 rounded to 7 dps?\nAnswer: 0.0001491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 109, -3 in ascending order.\nAnswer: -3, -2, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -10745 (base 10) to base 3\nAnswer: -112201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13610805 divided by 8.\nAnswer: 13610805\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 126617293 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: What is the hundred thousands digit of 207606818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - w = 2*w + 18, -3*w = -t + 12. Let n = t + 0. Solve -3*f = 5*i - 2*f - 16, 3*f = -n*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -4698572*b*s**4 - 3*b*s**3 - 4663167*b + 1 wrt s?\nAnswer: -18794288*b*s**3 - 9*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -5*v - w, 4*v + 3*w = 4 - 7. Let o(k) = k + 3. Let i(u) = 2*u + 24. Let t(d) = -d - 8. Let s(y) = 3*i(y) + 10*t(y). What is v*s(q) - 10*o(q)?\nAnswer: 2*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 469834478?\nAnswer: 2, 23, 10213793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 51 and 1938.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y**2 + 4*y + 1. Calculate n(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53*y**3 - 27*y**3 - 27*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -6 or 12174.1?\nAnswer: 12174.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -59, -119, -179, -239, -299?\n\"Answer: -60*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -565, -1151, -1737, -2323, -2909?\n\"Answer: -586*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -3 + -6 + (10480\/440 - (-2)\/11)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 176\/5 + -523\/15. Which is the closest to 0? (a) 2 (b) -0.4 (c) 0.2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh smallest value? (a) -0.3 (b) 0.2 (c) 55 (d) 0.1 (e) 104\/5 (f) -9 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 494*k**5\/5 - 96809*k**4\/5 + 1270968*k**3 - 28346630*k**2 + 26271050*k + 823875 = 0. What is k?\nAnswer: -15\/494, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 - -1. Suppose 2*w - j - 13 = -a*w, -5*j + 4 = 3*w. Suppose w*i - 18 = -0*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (27\/(-12))\/(9\/(-12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -7*j + 22 + 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*z - 438 = -102. Calculate the remainder when 67 is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 73 = 38. Let t = 52 + x. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1 and 1381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 3*d - 12. Let r = d - 1. Solve 5*u + 0*u = 2*o - 10, -r*o = -2*u - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.013 times -0.5\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 3*k = 794, -12*k + 16*k = 4*s - 1592. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/24400 and -187\/185708400?\nAnswer: 185708400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) 1\/6 (b) 3\/5 (c) 1\/4 (d) 1\/58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 741 is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-20)\/18 - (-9)\/((-81)\/(-1)))*-2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the third derivative of 0 + 0*h - 95*h**2 + 1\/2*h**3 + 0*h**4 - 1\/180*h**5. Factor k(d).\nAnswer: -(d - 3)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 6140*p**3*q**2 + 30335245*p**3 - p**2 - p*q**2 - 5778*q**2 with respect to q.\nAnswer: 12280*p**3*q - 2*p*q - 11556*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 25*l - 607. Calculate f(-7).\nAnswer: -782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r + 3*t + 252 = 219, -52 = -2*r + 4*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1551614057 or 1551614058?\nAnswer: 1551614057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -8\/9 at most as big as 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 14 = -3*n, -5*s = -2*n - 0 + 5. Let j be (-1)\/(0 - s) - -23. Suppose -5*b + u = -j, -u + 0*u = -b + 8. Solve 0 = -b*d - 18 - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + (-6 + 6 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.88 take away 34?\nAnswer: -32.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 23 or 36192\/1571?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify n\/(n*n\/n**(-30))*(n*n\/((n*n**(-1\/4)\/n*n*n)\/n)*n*n)\/n assuming n is positive.\nAnswer: n**(-115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = f**2 + 11*f + 33. Suppose -38*p = -34*p + 32. Let l be u(p). Solve -5*m + 15 = 5*c, 0*m = -2*m - 5*c + l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/(-3)*((-33)\/(-22))\/((-475)\/(-20))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*b**2*p**2*s - 176*b**2*s**3 - 2*b*p - 41*b*s**3 + 3*p**2*s**2 wrt b?\nAnswer: -4*p**2*s - 352*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 247024 divided by -3?\nAnswer: -247024\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a - 20*a = -33*a - 330 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 191015173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -13189.9951 minus 0.4?\nAnswer: -13190.3951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -h**3 + 23*h**2 - 21*h - 22. Let s be p(22). Suppose s = 19*n - 14*n - 9700000. Round n to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-26 + 6 + 3)*10. Let m = 172 + s. What is the closest to 0 in 3, -2\/9, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1271824 is divided by 3808?\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -25 - -1ab97?\nAnswer: 1ab72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u be 16\/7 + 8\/(-28). Let k(q) = -798*q**2 + 791*q**2 - 3*q**3 + 2*q + u*q**3 - 1. What is k(-7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j**3 + j + 2. Let u be n(0). Suppose -3*d = -2*a + u, a - 7 = -3*d + 12. Suppose 4*p + 2 = a*v - 2*v, 5*p - 8 = v. Solve p*m = m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -15 and 46.3.\nAnswer: 31.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 4319693 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: Expand (1 + 3 - 7 + 3 - 1 - 3 + (2 + 2 - 2)*(-5 + 1 + 3))*(15 + 18*j - 15).\nAnswer: -108*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 8*u**2 - 48*u + 4. Let w be p(6). Sort -2, w, 27, 40, 3 in ascending order.\nAnswer: -2, 3, w, 27, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1184.73ng in milligrams?\nAnswer: 0.00118473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 4 = 139. Calculate the highest common factor of 27 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**3 - 5*w**2 - 20*w + 3. Let l be u(8). Let n = 27 + l. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of ((-7)\/(-9))\/(((-30)\/33)\/(-2)) and 53\/54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -23671*n - 284049. What is v(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(2\/13)*(t*t\/(t\/t**(-1))*t)\/t)**28*t**(-17)*t*t*(t*t**(1\/3))\/t*t*t*t**(-2)\/t assuming t is positive.\nAnswer: t**(-443\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x - 5*q - 14, 53 = -5*x - 3*q + 18. Are 3 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 150 + 18337?\nAnswer: 18487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 83\/7 + -1184\/91. Sort i, -3, -5, -2\/3.\nAnswer: -5, -3, i, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -124*p**2 - 9*p + 51. Let n(z) = -55*z**2 - 3*z + 25. Let x(w) = 9*n(w) - 4*u(w). Determine x(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8517\/2 - 4259. Let n = 7 - 11. Let j = 3 + n. Which is the nearest to -1? (a) 0.1 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 438 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 154146, 1232298, 4158724, 9857562, 19252950, 33269026, 52829928?\nAnswer: 78859794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5 + 14. Let v = r + -21. What is the closest to 0.2 in 4, -2\/3, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -49cb90 (base 14) to base 9.\nAnswer: -4678531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -u**2 - 2*u - 2. Let y be z(-3). Suppose 0 = -l + 8 - 6. Let b be 2 + -3 - (-3 + -1). Sort b, y, l.\nAnswer: y, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 543.2337km?\nAnswer: 54323370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -9929603 or -9929601?\nAnswer: -9929601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 182.1489km?\nAnswer: 18214890","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Is 9804\/48 - 6\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3302 a factor of 104250744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 212 + 41?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z be -2 - (-2 - -1)*1. Let s = 6 + z. Suppose 0 = 4*l - s - 11. Solve 0 = l*w - 8 - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 130 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/24816 and 3\/8272.\nAnswer: 24816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (29 + -23 - (2 - -4)) + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11419 or 11421?\nAnswer: 11419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 878850.4 rounded to the nearest one thousand?\nAnswer: 879000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -79 = 4*y - 5*g + 81, -51*y - g - 2040 = 0 for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 93 divided by -4\nAnswer: -93\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 765918558?\nAnswer: 2, 3, 283, 50119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -6*g. Let l(z) be the first derivative of -z**3\/3 + 5. Calculate o(l(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 211*n - 208*n - 27 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -495 = -17*v + 2*v. What is the lowest common multiple of 45 and v?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-8)\/36 - 1\/(14436\/(-10444)). Let q = -1\/802 + t. Let j be 1*(1 - 0\/(-2)). Which is bigger: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate q**3 - 30*q + 208 with respect to q.\nAnswer: 3*q**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/11 - 192\/(-33). What is the third derivative of -9*y**2 + 7*y**2 + 5*y**4 + 2*y**2 + b*y**2 wrt y?\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3.29 - -0.09. Let t = -0.8 + l. Let q = -64 + 64.2. What is the smallest value in -1\/2, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00695228343 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - f - 5 = -2*f, -5*f = -25. Suppose 13 = k + 2*a, 4*k - a + 0 - 16 = p. Suppose 3*q - k = 2*c, 2*c - 5*c = -4*q + 5. Solve -b = -c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 3)*(-4*m - m - m).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02423754 minus 15722238?\nAnswer: -15722238.02423754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 58*j + 345. Calculate l(-5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (11 + 7 + 4 + (1 - 2 - 1)*(1 + 0 - 3))*(3*j - j - 4*j)*(-2 - 3 + 2)*(3 - 2 + 0) in the form z*j + h and give z.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((2880\/84)\/(-20))\/((-2)\/(504\/243))?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/2, -11, 30, -1, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1291.9779s in minutes?\nAnswer: 21.532965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 3 v when four letters picked without replacement from vfvvvfvf.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of 19171192 and 23.\nAnswer: 440937416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-18)*s**(-7))\/((s*s**(-16)*s)\/(s**(2\/9)*s)) assuming s is positive.\nAnswer: s**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in three eighths of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10\/(-6) - 23828\/(-111) is divided by 69.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*s**2 + 259*s**3 - 141*s**3 - 6*s**2 - 116*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Total of 64095934 and -0.1001.\nAnswer: 64095933.8999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -5*w + 2*w + 12 + 2*w - 20. Let u be q(-12). Suppose -u*l + l + 15 = 0. Solve n + 3 = l*g - 2, 10 = -g - 2*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**3 + 6*k**2 - 6*k + 4. Let i be n(5). Let s be ((-1)\/(-6))\/(i\/2). Is 0 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 469, -1.308, 0.5?\nAnswer: 469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the third derivative of -1\/3*i**3 + 1\/8*i**4 - i**2 + 1\/30*i**5 + 0 + 0*i. Give k(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/9*n + 0*n**3 + 1\/3*n**2 - 1\/9*n**4 + 0.\nAnswer: -n*(n - 1)**2*(n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v + 3*v + d = -6, -1630*v + 5*d = -1625*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 5 = 4*d - 11, d + 2*z - 6 = 0. Let g(s) = -4*s + 5*s - 2*s**2 - 12*s**d. What is g(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 21 (b) -0.07 (c) 4 (d) -2\/11 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*f + 0*f + 2 + 2*f)*(-8*f + 4 - 4)*((10 - 2*f**2 - 10)*(5*f - 3*f - f) + (8*f**2 - 22*f + 22*f)*(2*f + 3*f - 2*f)).\nAnswer: -352*f**5 - 352*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1014300 - 2014?\nAnswer: -1021314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**3 + 19*y**2 + 127*y + 100. Let w be f(-30). Let g = -575965415\/28 + 20556587. Let m = w - g. Find the common denominator of m and 47\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*n**2 - 3\/2 + 3\/2*n**4 - 3*n + 3*n**3.\nAnswer: 3*(n - 1)*(n + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 12960 divided by -5\nAnswer: -2592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = -265.2 - -237.2. What is the third biggest value in -0.4, -0.09, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -8, -1\/3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 24 + -20. Sort 2, f, 13 in ascending order.\nAnswer: 2, f, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes after 10:22 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 4 - 2)*(-4*y**2 - 2*y**2 + 5*y**2) + (2*y + 0*y - y)*(-2*y - 2*y + 3*y) + (-3*y + y + 0*y)*(y - 2 + 2) - y**2 + y**2 - 2*y**2 - y**2 + 1 - 1.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 50577615 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13 - 9. Put p, 0, -3 in increasing order.\nAnswer: -3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l**2 - 4272*l - 105616896 = 0 for l.\nAnswer: -5264, 6688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -2, 2.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -72231049*x**2 + 6793934*x + 3 wrt x?\nAnswer: -144462098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 66 (b) -122\/7 (c) 2 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1013004 is divided by 318.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - y = -3*y. Suppose 2*q + 4*v + 1560 = 0, y = -6*q + 2*q + 4*v - 3084. Let m = q + 1108. What is m rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 766e (base 16) to base 8.\nAnswer: 73156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 19133.418 months in millennia?\nAnswer: 1.5944515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 107 - 27 = -10*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 1627*x**3 - 4*x**2 + 14*x + 10. Let o(s) = 1626*s**3 - 3*s**2 + 13*s + 10. Let p(m) = -4*o(m) + 3*z(m). Find the second derivative of p(g) wrt g.\nAnswer: -9738*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 22.967 from -3.\nAnswer: -25.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 368923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0194 rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 2\/15 of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 639, 697, 807, 981, 1231, 1569?\n\"Answer: 2*w**3 + 14*w**2 + 2*w + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -3.9 (b) 1\/8 (c) 5 (d) -1526 (e) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 5*k**2 + 4*k + 5. Suppose 3*l = -17 - 7. Let q(j) = -14*j**2 - 11*j - 14. Suppose 4*s = s. Let i be (s\/2)\/(-3) + -3. What is i*q(r) + l*n(r)?\nAnswer: 2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (0*i + 2*i - 3*i)*(5*i - i - 2*i) + i**2 + 0*i + 0*i - 24390*i + 24390*i + 1782*i**2 in the form c*i**2 + p + n*i and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 95 = 5*q, -5*n + 0*n - 3*q - 153 = 0. Let a be -3*(-5)\/n*-8. Suppose -g = -41 - a. Calculate the remainder when g is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 6, f: 8, h: 1}. What is prob of sequence hf?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 15.53 + -161.33. Let a = q - -122. Let d = a + 24. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 99860695 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the second derivative of d**7\/42 + 1509*d**5\/10 + d**4\/6 + 493*d**2 - 7*d - 160. Find the third derivative of c(n) wrt n.\nAnswer: 60*n**2 + 18108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g + 74 = -7*w + 11*w + 124, -g = -37*w + 19 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 6*z**2 - z. Let x be r(-1). Let l(q) = -3 - x - 8*q**2 + 0 + 2 - 8*q - q**3. Is l(-8) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Let i be (-14)\/(-10) - 1 - (-21)\/(-15). What is the common denominator of -3 - (i + 159\/(-21)) and 40\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (8\/14)\/((-4)\/(-182)). Let s = p - 25. Solve -y - 3 + s = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 15 + 15653526?\nAnswer: 15653543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -10 + 12. Suppose 311 = t*r - 251. Let j = r + -132. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2078304 + 3342062. Suppose 4*p = -4*h - 23999984, u + 16736238 = -3*h - p. Round h to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.044 in 46, -271, 2, 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 7\/5, 256, -1\/9, -2?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14186?\nAnswer: 2, 41, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -100120 (base 3) to base 6.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:56 PM and 5:46 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Total of 43283.547249454 and 0.5.\nAnswer: 43284.047249454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i - 363 = -5*t - 254, 0*i + 3 = -2*i + 3*i for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8 - 7.97. Let o = 0.039 + -0.269. Let n = o + m. Which is the nearest to 1\/3? (a) 2\/11 (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1\/2 or -370?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j = y - 34, y + 5*j - 9*j + 11 = 0. What is the third derivative of -r**2 - 6*r**4 + y*r + 16*r**4 - 9*r**4 + 2*r**2 + 7*r**3 wrt r?\nAnswer: 24*r + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19599.\nAnswer: 3, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(1\/4)\/h)**(-2\/3)\/(h**(2\/17)\/h**(-5\/9)) assuming h is positive.\nAnswer: h**(-53\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 12 = -2*o, 3*o = -64*h + 62*h + 8. Solve o = -c - 13 + 7 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.4 * 4505697\nAnswer: 1802278.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*x = 28 - 0. Suppose -j - x*l = 9 + 16, -l = 1. Let d be j\/(-28) + (-5)\/(-4) - 6. Which is bigger: d or -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(99)\/(sqrt(27)\/sqrt(3)) - 1*(sqrt(11) + ((-2*sqrt(77) - sqrt(77))\/sqrt(7) - sqrt(11)))**2.\nAnswer: -94 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2831\/436? (a) 0 (b) -2\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = -i + 9358 + 8140, 5*i - 87498 = -2*o. What is i rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 13*s - 16*s + 7*s**2 + 64*s**2 + (s - s - s + (-1 + 3 - 3)*(3 - 3 - 2*s) - 21*s - 8 + 8)*(-s - 2 + 2) as y*s**2 + g*s + h and give y.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 + 52\/(-8))*((-100)\/(-4550))\/((-6)\/(-28)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -21 + 24. What is the third derivative of -19*p**3 - p**q - 2*p**2 + 16*p**2 - 3*p**3 wrt p?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -60*h*p - 61*h + 107286*p**4 - 89985 wrt p.\nAnswer: -60*h + 429144*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1002154 - 112?\nAnswer: 1002042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fzfffffzfffzfff. What is prob of picking 2 f?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 35*i + 713. Determine h(-18).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 540 and 8948580?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 146721106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve s**5 + 1945*s**4 - 3930*s**3 - 70020*s**2 + 140184*s = 0 for s.\nAnswer: -1947, -6, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9\/(-4) - (-127)\/(-2)*483\/966.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*b - 5*b - 6 = 0. Let t be (-15)\/(-10) - (-3)\/b. Solve 5*h - t*h = -9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10123411 (base 5) in base 3?\nAnswer: 11012211101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.253 - 2.253. Let u = -8 - -5. Which is the third smallest value? (a) u (b) g (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 504 minutes after 12:29 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = -57 - -16. Suppose -9 = 3*j + 9. What is the common denominator of 53\/6 and ((-39)\/(-104))\/(j\/a)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2268)*-2*3 - sqrt(2268)) + -3)**2 + (sqrt(196) + -4*-2*sqrt(196))\/(sqrt(126)\/sqrt(2)).\nAnswer: 762*sqrt(7) + 111141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/104*24\/10. Let j be 48\/(-9) + 7 + -2 - (-4)\/3. Do m and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 663 and 765.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -100 + 20. Let s = u - -136. Let g be 208\/s + (-4)\/(-14). Solve g*m + 20 - 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -222.4 + -17680485934\nAnswer: -17680486156.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 95364.54 micrometers?\nAnswer: 0.00009536454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -20*q - 1339. Let v(f) = 9*f + 618. Let s(o) = -6*c(o) - 13*v(o). Let b(m) = 0*m - 27 + m - 3*m. What is s(b(y))?\nAnswer: -6*y - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 67*k**2 - 122*k**2 + 54*k**2 + 6565 - 6565.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 552 = -16*f + 40*f. What is the remainder when 62 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 12 = y - 4*y, 4*y + 16 = 3*h. Let t(v) = -v - 9. Let m(i) = 2*i + 9. Give y*t(o) - 3*m(o).\nAnswer: -2*o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-17)\/q**(-2\/13))**(-1\/2) assuming q is positive.\nAnswer: q**(219\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 52*n - 59*n - 23212. Let k = 195 - n. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*o - 2*o - 6. Calculate the smallest common multiple of 4\/(-2) - (-12)\/o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -60 + 0.041.\nAnswer: -59.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p - 35*h + 36*h + 23 = 0, p - 2*h - 1 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + s + 2076 = 0, 9*a - 7*a - 2*s - 1388 = 0. List the prime factors of a.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 3*y + 45 - 24 - 14. What is c(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 188846 and 36449?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = -10*h + 13. Let z(l) = 11*l**2 - 23*l. Let j(k) = 7*k**2 - 15*k. Let f(i) = -8*j(i) + 5*z(i). Calculate f(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 2*i**2 + 36*i + 7. Let m be c(-19). Suppose -47*p + m*p = -4. Suppose 6*l = -p*l + 1248. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 105*k - 381 = 459. Solve -3*g - 4 = -3*j - k*g, 10 = -2*j + 3*g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 2*b + 36. Determine a(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 152199 is divided by 160.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 113829678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 268, 260, 252, 244, 236?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -4.176?\nAnswer: -4.176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-37) - 12500\/(-60125).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13755?\nAnswer: 3, 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 22*i - 40. Let u(n) = -n**2 + 23*n + 142. Let p be u(28). Let v be c(p). Solve g - 9 = -v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 6\/(-4)*8\/(-2). Let c(y) = -3*y**3 - 10*y**2 + 9*y - 2. Let t(g) = 4*g**3 + 11*g**2 - 11*g + 1. Let n(q) = 5*c(q) + 4*t(q). What is n(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4909.745 weeks to hours.\nAnswer: 824837.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15893, 14693, 13493, 12293?\nAnswer: 11093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 640607993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -62.3, 0.1, -1\/87, -1\/4, 10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 100 + 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 315912128 by -14.\nAnswer: -22565152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -202, 2.1, -1, -3\/5, 5.\nAnswer: -202, -1, -3\/5, 2.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1025670*d + 4 + 1025670*d - 4 + 21*d**2.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1753*n**3 - 890*n**3 - 926*n**3 - 1034895 + 1034895.\nAnswer: -63*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-9))**(-46)\/((l*l**(3\/4)*l)\/(l*l**(-36\/11)*l)))**(-22) assuming l is positive.\nAnswer: l**(-18039\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(((sqrt(240)\/sqrt(6))\/sqrt(8) + sqrt(25)\/sqrt(5)*6)*-2)**2.\nAnswer: -4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 79349991?\nAnswer: 3, 7, 3778571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y + 1. Let d be j(1). Let c(a) = 3*a + 211. Let v be c(-62). Solve -5*t = p + 4*p + v, 5*p + 19 = -d*t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = 16*r + 676 - 709. Let z(n) be the second derivative of -1\/102*n**4 - 5\/51*n**r - 6\/17*n**2 + 15*n + 0. Factor z(d).\nAnswer: -2*(d + 2)*(d + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k**2\/11 - 74838*k\/11 + 746180 = 0 for k.\nAnswer: 110, 37309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*x**4 + 4 - 4)*(2*x + 0*x - 3*x) - 344*x**5 - 287 + 287 + (2 - 2*x**3 - 2)*(-5*x**2 + 3*x**2 - 2*x**2).\nAnswer: -338*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6, -56, -150, -282, -446, -636, -846, -1070?\nAnswer: -1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ccn when three letters picked without replacement from nccccnn.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be (93\/(-62))\/((-3)\/10). Solve 4*t + b = j, 2*j + 2*t - 15 = -5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 429 is divided by 149?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/67? (a) -4 (b) 14 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -c = -21*c - 13*c + 8*c - 650 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 101000100100111110011 (base 2) to base 8.\nAnswer: 5044763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*c**2 - c**2 - c**2 + (0*c + 2*c - 5*c + (2*c - 3*c + 0*c)*(-4 + 1 + 1) - c + 3*c + 3*c)*(4*c - 2*c - 3*c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y**3 - 5*y**2 - 47*y + 235. Let h be c(5). Factor 8\/5 + h*m - 2\/5*m**3 - 6\/5*m**2.\nAnswer: -2*(m - 1)*(m + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3330 divided by -2.\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*n**5 - 2123*n**4 + 4845*n**3 - 3151*n**2 + 209*n + 210 = 0.\nAnswer: -1\/5, 1\/2, 1, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 104 and 41054?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -65*j - 89*j + 4735 = 87*j - 6833 for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 2 - ((-5 - -22 - 1) + 9 + -10 + -2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-31 - (19 - 6 - 24)) + -4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**2 - s - 17. Let k be t(5). Let q be (-1 - 435\/k)\/((-3)\/18). What are the prime factors of (q\/(-8))\/(-3)*2?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5554485561.\nAnswer: 3, 71, 223, 337, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11304 - 11323. Which is the biggest value? (a) 14 (b) 5 (c) -1\/3 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 1 + 7*m - 8*m + (2 - 4 + 8)*(0 + 2 + 3)*(-154 - 19*m + 154) in the form h*m + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1671080578 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Let i = 384.5553 + -383. Let u = -1.477 + i. What is u rounded to 3 dps?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5510887ml to litres.\nAnswer: 0.0005510887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2985710 to the power of 1\/2, to the nearest integer?\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2860 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -9661351*w + 12140159 wrt w.\nAnswer: -9661351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (192\/28)\/(1*(-2)\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -206701 + -677587. Let o be ((-110)\/4 + 3)*g. Suppose -4*a = -32334944 - o. Round a to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -125\/1506 and -101\/12048?\nAnswer: 12048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = -186224 + 76928. Let p = l - 51704. What is p rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 4*u**3 + 4*u**2. Let o(g) = 10*g**3 + 8*g**2 - g. Calculate -7*a(s) + 4*o(s).\nAnswer: 12*s**3 + 4*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.958996041 - 0.041003839. Let i = y - -1. What is i rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-7)\/(28\/12) + 904. Suppose 0 = -b + i + 425. Suppose -3*m + m = -3*g - 652, 0 = 4*m + 5*g - b. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 5351 - -26?\nAnswer: 5377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 19 + 0. Suppose 2*w - 1045 = -5*c, 3*c - w - 418 = c. What is the greatest common factor of a and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (442\/(-507))\/17*3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n**2 + 47798658*n - 190392642216747 = 0. What is n?\nAnswer: 7966443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(456) + -1*(sqrt(456)*2 + sqrt(456) - sqrt(456)) - sqrt(456))\/(sqrt(512)*1))\/(sqrt(270)\/((-2*sqrt(120))\/sqrt(12))).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -8*q - 1 + 3*q - 6*q - 6*q + 2*q. Let t(p) = 7*p + 1. What is 7*t(y) + 3*x(y)?\nAnswer: 4*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00003785 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1995453073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add -0.2 and -0.14566.\nAnswer: -0.34566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 3999, 3402, 2805, 2208, 1611?\n\"Answer: -597*k + 4596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1292 - 1289. Solve 4*y - 11 = -3*t, -5*y = 4*t + i - 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(1\/4))**(2\/19)*a**4\/a*a\/(a*a**0) assuming a is positive.\nAnswer: a**(115\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 15*x**5 + x**3 - 3*x - 43 wrt x.\nAnswer: 300*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**3*b*b**3*b*b**(-4)*b\/b**(-6\/5)*(b**6*b*b**(2\/5))**(4\/25) assuming b is positive.\nAnswer: b**(923\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:06 AM and 8:54 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 11*k - 8*k + 111 = 0, 3*k = -v + 49. What is the remainder when 391 is divided by v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 + 1 = 3*h, -3*a + 3440 = -2*h. Let g = a - 768. Let o be (1 - ((2 - 5) + g))*100. Round o to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 570 minutes before 4:48 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6159*-3.\nAnswer: -18477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 13, 10, 7, 4?\n\"Answer: -3*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10506 = -5*c - 2*f, 149 = c + 5*f - 1966. Suppose -4*m - 3*m = -c. Is m a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Let j = -153593\/430 + -66\/215. Let b = 65481 + -260429\/4. Let v = j + b. What is the common denominator of 21\/8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*f - 5*p - 105, f + 5*p + 41 = 2*f. Calculate the remainder when 505 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -4\/20092121 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 3978, 4742, 5506, 6270?\n\"Answer: 764*d + 3214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7543\/14 + -539. Let v = 12\/7 + w. Find r such that v*r**3 + 0*r - 3\/2*r**4 + 3\/2*r**2 + 0 - 3\/2*r**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**2 - 9*j - 14. Let k be q(10). Is -5 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z = 4*c + 1, -5*c - 654 = -3*z - 625 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1435853 (base 9) to base 12\nAnswer: 322179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**0\/(q\/q**(-13)))**(-10)\/((q*q**1)**(13\/5))**(25\/2) assuming q is positive.\nAnswer: q**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the third derivative of i**4\/6 + 16*i**3 + 40*i**2. Let j be y(-23). Solve -d = j*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -31 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 6179025945?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*t - 10 = 28*t - 4*q, -t - 113*q + 16 = -107*q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1797*r**6 - 77*r**4 + 476693*r**2.\nAnswer: -215640*r**3 - 1848*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**3 - 14*y**2 + 78*y - 58. Give q(10).\nAnswer: -1678","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r be 21\/(-10) - ((-90)\/25 - -4). Which is smaller: r or -3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4 and 388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 8 (base 9) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -134*v**5 - 32*v**4 + v**3 - 6*v**2 + 11840*v.\nAnswer: -8040*v**2 - 768*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 43 + -15. What is the greatest common divisor of j and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/4 - ((-52)\/24 - -3). Suppose 0 = -9*q + 5*q - 4. Which is the biggest value? (a) q (b) -9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*y**3 + 0*y**3 + 5*y**3 + 4*y.\nAnswer: 11*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-177 + 0)\/(-3 + (-18)\/(-4)). Let q = 192 + y. Suppose 0 = -2*x - 0*l - 3*l + 33, -4*x + 2*l + q = 0. Calculate the remainder when 67 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13094.5 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-85)\/(-17)*10*(-1)\/(-2). Suppose s = 3*n - 3*q - 1058, -3*n + 4*q = -1087. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8594581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (-d + 3*d - d)*(12*d - 13*d + 0 - 1 + (-d - d + d)*(6 + 2 - 3)) in the form c*d + n + o*d**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 + -2. Let q = r + -1.8. Let o = 42.4 + -42.4. What is the closest to o in 5, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3705 - -4441. What is the greatest common divisor of 46 and z?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 2*u**2 - 2*u - 15. Let b(w) = 11*w. Let t be b(3). Suppose -y + t = y + 5*v, -2*v - 3 = -y. Calculate the remainder when n(5) is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-1\/14)*b)**(-1\/42)*(b*b\/(b\/(b**(-10)*b))*b)**9)**(-5\/9) assuming b is positive.\nAnswer: b**(185285\/5292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 634 minutes after 4:29 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) be the third derivative of b**5\/60 - b**4\/6 + 5*b**3\/6 + 26*b**2. Calculate o(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -5*m + 2*m + 8*m - 8. Let u(n) = -2*n + 3. Determine -3*i(t) - 8*u(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7\/(-2) - 1550\/(-620).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1548371171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1991 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 15415031 to the nearest integer?\nAnswer: 3926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -7*w - 70. Let x be j(-10). Solve x = -29*t + 5 + 24 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -413 + 485. What is the lowest common multiple of 96 and x?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -3*r**3 - r - 1. Suppose -2*v = -3*v + 4. Let y be 0 + 2 - (v + -5). Suppose -l = y*f - 4*l + 15, 5*f + 2*l = 3. Determine c(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 3*o = 51, t - 4*t - 3*o = -21. Calculate the remainder when 46 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4442, -8881, -13320, -17759?\nAnswer: -22198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 54989 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 116 or 465\/4?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.1 + -0.4. Let t = 27 - 26.942. Let z = 0.042 + t. Which is the closest to z? (a) -4 (b) -0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -6664*p - 73255. Determine q(-11).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -3*y + 78. Let j be x(25). Find l, given that -6*l**j + 6*l**3 - 2*l**3 + 16*l**2 + 62*l**2 = 0.\nAnswer: 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor l**2\/3 - 2352494*l + 14114952.\nAnswer: (l - 7057476)*(l - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/259720 and -101\/266316888?\nAnswer: 1331584440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (11*t**3 + 15*t**3 - 46*t**3)*((0*t - 5*t - t)*(0 + 1 - 2) - 3*t + 4*t + 2*t) as x + u*t**2 + j*t**3 + r*t**4 + s*t and give r.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 4*q. Let d(n) be the third derivative of 0 + 1\/30*n**5 - 4*n**2 + 0*n**3 + 0*n**4 + 0*n. Give d(h(p)).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = -20 - 19. Let c be (1\/(-3))\/((-4)\/(-12)). Let g be (-89 - (-1 + 3))*c. What is the highest common divisor of v and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (6 - 2) + -8 - -7. Suppose i*c - 2*z - 2 = 0, 0 = c - 2*z + 1 + 1. Let j(v) = 3 + 175*v**c - 3 - 174*v**2. Let f(o) = 7*o. Determine j(f(a)).\nAnswer: 49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2 - 9. Let w = -13 + b. Let a = w + 24.000002. Round a to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the second derivative of 11*d**4\/3 - d**2\/2 - 2415*d. Let h(y) = -6*y**2. Give f(h(z)).\nAnswer: 1584*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-6)\/4)\/((-1)\/2). Suppose -k*m = -15 + 12. Solve 11 = -4*c - x - 3, c - 2*x - m = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -79\/10945770 and 47\/8026898.\nAnswer: 120403470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*b - 2*b. Let k be b + (0 + 2 - 59). Let h = 102 + k. Calculate the greatest common factor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -278, -294, -28, 520?\nAnswer: 1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4615363613 to the nearest integer?\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/5*40\/(-16). Suppose -4 = -5*n - 19. Sort 114, n, t in ascending order.\nAnswer: n, t, 114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4212 - -4217. Let j = -2.1 - -0.1. Let m be (-1)\/(-1 + 4\/3). Which is the nearest to j? (a) x (b) 1\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 370775 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(1\/11))**(-9\/2))**12 assuming a is positive.\nAnswer: a**(-54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -4, -3, 6, 7.\nAnswer: -4, -3, 5, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fnnnnffnnnnnfffffnf.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/(f*f**(2\/7)))**(-22))**(4\/17)\/((((f*f\/(f\/f**(-1)))\/f*f)\/f)**(-13\/8)\/(f**(-1\/4))**6) assuming f is positive.\nAnswer: f**(-1567\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -140*h + 283166 + 499583 = 152889. List the prime factors of h.\nAnswer: 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-32)\/(-6))\/(-16))\/((-1)\/55)*135\/75\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum 251.028 and -5.5854.\nAnswer: 245.4426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 154, 169, 182, 193, 202?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1043\/2 or 522?\nAnswer: 522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = -109\/2 - -53. Let l be 4\/(-14)*(-2)\/(-4). What is the closest to -0.1 in 2\/5, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-10)\/3*(-18)\/15. Suppose 0 = -17*q + 22*q - j - 3955, a*q - 3143 = 5*j. List the prime factors of q.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 374929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 77027 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 6352864 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*d - 334 = -m - 0*d, -310*m + 308*m - d = -4*d + 82 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -30 + 28. Let b = 2.1 + j. Do 5 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 2*d - 44. What is y(18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -13385787.34 to the nearest 100000.\nAnswer: -13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -15061, -57582, -128459, -227698, -355305, -511286, -695647?\nAnswer: -908394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 2 w when three letters picked without replacement from wwwswsswswsw?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 180 divide 24159240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4159 + -16667\/4. Find the common denominator of 1 - ((-417)\/(-50))\/3 and u.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -16397 greater than -16390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 1380195 * 0.3\nAnswer: 414058.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 599492601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 2*m - 5*t, 0*m - 2*t - 2 = 4*m. Suppose 2*l - l - 9000000 = m. Suppose 0*d = 3*d - l. Round d to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0263026858 to 5 dps.\nAnswer: 0.0263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/(-4)*(-144)\/(-90).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -5*t**3 + 4*t**2 - 8*t + 6. Let m be 2 - 5 - (5 - 14). Let x be f(m). Let p be (2500\/15)\/((-1)\/x). What is p rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 13224*r + 26614. Give x(-2).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k be 174\/1305 - (-433)\/15. Solve 6*t = k*t + 92 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 31780 - 15674. List the prime factors of c.\nAnswer: 2, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*c**4 - 1473.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -3091 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*i - 57 = 3. Let j(f) = -f - 7. Let b be j(-8). Let u be (-27)\/(-15) + b\/5. Solve i*z - 2*q + 1 = 0, 2*q = q + u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 139 minutes after 5:31 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = -2*r + 20. Let m = 179\/8 - 687\/40. What is the common denominator of m and -4*((-88)\/6)\/r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that -2\/7*n**5 + 6\/7*n**4 - 56*n + 54*n**2 + 394\/7*n**3 - 384\/7 = 0.\nAnswer: -12, -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 78 + -80. Let t = 5.8 + -6. Which is the closest to t? (a) -1\/7 (b) s (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 685185 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*p = 19 + 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.24 - -18.24. Let a = j - 9. Let f = 3.6 - a. What is f rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-172)\/10)\/(10\/(-25)). Let t = 46 - h. Let l(w) = -2 - w**2 + 2*w + t*w**2 - w**2 + 4. What is l(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 3 = -9. Let l(d) = d**3 + 2*d**2 - 1. Let i be l(-1). Solve i = u*b + 3 - 11 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 m and 1 j when four letters picked without replacement from {w: 3, t: 4, m: 4, j: 4}?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-176)\/(2412608\/1341)*4\/(-1).\nAnswer: 9\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one quarters of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = -d + 2, -3*d + 9 = -4*k + 13. Let g = -5 - -9\/2. Is g less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in twenty-one fifths of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of 7.785 and -2.\nAnswer: 5.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -5\/4, 1 in decreasing order.\nAnswer: 5, 1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-34)\/6 - (-4)\/6. Suppose 5*k - 11 = -4*r, 3*k + 45 = 3*r + 3. Suppose -2*z = r - 3. Sort z, q, 4.\nAnswer: q, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 70 + 3?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(77)\/(sqrt(11) - 2*sqrt(11)) + sqrt(252)))**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 3*j**6 + 2*j**5 - 14*j**3 + j**2 + 2*j - 19. Let l(g) = -g**6 - g**5 - g - 1. Let o(b) = 2*l(b) + y(b). Find the third derivative of o(q) wrt q.\nAnswer: 120*q**3 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 4.694438l?\nAnswer: 4694.438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kpbb when four letters picked without replacement from {b: 2, p: 1, u: 1, k: 1, q: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d**2. Let g(j) = -1426195*j. Give o(g(z)).\nAnswer: 2034032178025*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 501, 502, 505, 510, 517, 526, 537?\n\"Answer: d**2 - 2*d + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 951 + -953. Put -11, -0.3, -1\/7, 2, a in ascending order.\nAnswer: -11, a, -0.3, -1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 9*y + 9 - 3*y**3 - 4*y + 0 - 1 - 76*y**2 + 51*y**2 wrt y.\nAnswer: -18*y - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*(n\/(n**(7\/2)\/n*n*n)*n)\/n*n)**(-13) assuming n is positive.\nAnswer: n**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be -4 + 18 + -3 + -1. Suppose 6*r - 2 = p. What is the third derivative of -3*i**3 + 2*i**2 + i**r + 0*i**2 + 5*i**2 wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 86 divide 154370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qiii when four letters picked without replacement from qqiiiqq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8221 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1096512 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -6 - -1 - -13517*8864\/112 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -13 - 0 - 2 - (47 - (6 + 29))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 553765?\nAnswer: 5, 110753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Subtract 3307 from 2.\nAnswer: -3305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the first derivative of 5*i**3\/3 + 71*i**2\/2 + 16*i - 74. Let f be b(-14). Solve -f*q + 2*s + 4 = 0, 2*s = 6*q - 2*q - 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -80 + 56 = -3*p. Suppose 0 = 7*y - 3361 + p. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 696\/(-114) - (-2 + -10)*(-2)\/(-4).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwwbwbwwwwwb. What is prob of picking 3 b?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o, 1 v, and 2 m when four letters picked without replacement from mmggmvovmgmmvv?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(110)*-2 - sqrt(110))*3 - sqrt(110)*1*2)\/(sqrt(10) - (sqrt(1440)*1 + sqrt(1440)) - sqrt(500)\/sqrt(2)).\nAnswer: 11*sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 3*h + 4*u - 3*u, -5*h + 4*u - 20 = 0. Which is the biggest value? (a) 0.29 (b) -2\/7 (c) h (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -16 + 21. Solve 0 = -4*z - 16, 10 = n*f - 3*z - 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*a = 26683 - 30123 for a.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*h + 7*h + 19566 = 10*h. Which is bigger: h or 1088?\nAnswer: 1088","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10 divided by 888?\nAnswer: -5\/444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 171*g = 102*g + 22977. What is the remainder when g is divided by 96?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 35188, 35196, 35222, 35272, 35352, 35468?\nAnswer: 35626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -407 - -6107\/15. Let q = -219 + 221. Which is the third biggest value? (a) q (b) z (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (66\/(-165)*150)\/(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -2*q**2 + 23*q - 28. Let g be k(10). Suppose -16 = -3*a - 4. Solve r - 3 = -v, -v + a*r = -0*v + g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -163953 by -4.\nAnswer: 163953\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 135*o + 2. Let w(g) = 271*g + 4. Give 5*l(a) - 2*w(a).\nAnswer: 133*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = 290 + 463. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 67 divide 20100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c + 0*r = 4*r + 3, 4 = 2*c - 3*r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.4 - -5.4. Let d be 1 + -4 - (224 - 210 - (0 + 15)). What is the nearest to d in 1, -1\/12, n?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1394.5 to the nearest integer.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a day in minutes?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 2\/3, -4, 5, -2880?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/2149505 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-44)\/330)\/(4\/252). Put 1, u, -2\/3 in descending order.\nAnswer: 1, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 496211 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 23582843 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (0\/(-3))\/((-29)\/(-29))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*b + 7 + 14. Let s be (b + 6)*(1 - 1). Let x = s - -3. Solve -12 = -x*k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -8 - -13. Put q, 0, -1\/4 in decreasing order.\nAnswer: q, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*f - 214 = 96. Solve 0 = 2*h + 3*h - f*u - 5, -4*h = 2*u - 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i**2 + 10*i - 15. Let s be d(-12). Let q = 11 - s. Suppose q*r - 2*p = 120, -r = 3*r + 3*p - 219. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the second derivative of 1\/20*p**5 - 11\/6*p**3 + 0 - 6*p + 11*p**2 - 3\/4*p**4. Let x be z(10). Solve 2*w - 5*w - x = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -656, -1273, -1864, -2417, -2920, -3361, -3728, -4009?\nAnswer: -4192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52 = -10*t + 8*t. Let b be 4*(4\/t + (-11)\/(-13)). Let i be (-24)\/32*(b - 2). Is i greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 143222402 (base 5) to base 7\nAnswer: 6304324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 1, d: 1, g: 1, v: 1, k: 1, f: 1}. Give prob of sequence tfgd.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let j be ((-9)\/(-12))\/((-2)\/(-8)). Let q be 6\/9 + 3\/((-9)\/(-40)). Suppose -9*n + q = -2*n. Solve -n*v + 13 - j = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -21*l**2 - 2*l + 2. Determine k(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n - 7. Let z be r(-5). Let b = z - -4. Let v = 5 - 3. Solve 4*d + 2 = -b*u, -u + d + v - 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -273391 + 273399. Let s be -1 + (1 - 2\/(-9)). What is the third smallest value in 0.4, i, -9, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 56005 and 12990725?\nAnswer: 298786675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*g + 0 + 2 + 11 - 13.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.014459, 7, 16 in descending order.\nAnswer: 16, 7, -0.014459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -15*a**2*l**5 - 262*a**2*l**2 + 64*l**5 wrt l.\nAnswer: -900*a**2*l**2 + 3840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hhx when three letters picked without replacement from hhhhxhhh.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*t**5 - 6*t**5 + 2*t**5 + (-13 - 4 - 5)*(-3*t**5 + 3*t**5 - 3*t**5) + (-4*t + 2*t + 0*t)*(-154*t**3 + 154*t**3 - 6*t**4).\nAnswer: 76*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t**3 + 3*t**2 - 1. Let a be f(2). Suppose a*i - 2*y - 28 = 0, -20 = -9*y + 4*y. Let o be (-2)\/8 + 1599\/i. What is o rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5*b*g**2*q + 248365*b*g**2 - 76*b*g*q + 10*b + g**2*q + 88*g - 8*q wrt g?\nAnswer: -10*b*q + 496730*b + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-k + 4*k - 2*k)*(-90*k - 73 + 97 + 80*k + 4*k**2) to n + w*k**3 + g*k + m*k**2 and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -143 - -133.86. Let v = 9 + k. Let m = 0.1399 + v. Round m to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p, 1 a, and 1 y when three letters picked without replacement from xppxyppppapaypyy.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*k**3 + 16*k**2 - 10*k + 2.\nAnswer: -2*(k - 1)*(2*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 2*(sqrt(7)*-2*-1 + -2).\nAnswer: -7 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -85123, -340460, -766021, -1361806?\nAnswer: -2127815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.23 (b) 0 (c) -1\/11 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 81.9 - 81.8582. Round n to three dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10 + -9. What is the third biggest value in -1\/11, h, 1\/8, -0.4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*a*c*m - 2*a*c + a*m**3 - 32*a - 6*c*m**3 + c with respect to m.\nAnswer: -2*a*c + 3*a*m**2 - 18*c*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -838 - -865. Solve -15*o - 36 = -i*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-28))\/(((-15)\/126)\/(30\/(-8)*1))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be 133\/42 - (-1)\/(-6). Suppose x - 156 = -y*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 333 and 14008496.\nAnswer: 126076464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = -25, -7*q - z = -3*q - 13. Suppose -3*n = -d + 1123, -2*d = -3*n + q*n - 2236. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -20.6 + 2.6. What is the third biggest value in v, 4\/3, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 349\/439?\nAnswer: 349\/439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 586270307 * 0.5.\nAnswer: 293135153.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.04, -6\/5, 0.3, 0.42?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {u: 2, k: 17}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v = 6*k - 500, -26817*v = -5*k - 26816*v + 395 for k.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*s**2 - 4*s**2 + 2*s**2)*(0 + s**2 + 0) + (s**2 + 3*s**2 - 5*s**2)*(-214 + 214 - 1698*s**2).\nAnswer: 1699*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-18)\/(-3))\/(83\/(-415))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 47, 41, 25, -7, -61, -143, -259, -415?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 794071\/26 - 30545. What is the nearest to 0 in 3\/7, j, 2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -118*x - 50 + 51 - 122*x as u*x + n and give u.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 27 + 30 - 12*w - 57. Let a(o) = -o**2 - o. Let t be a(1). Does 12 divide r(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0014115 rounded to 5 dps?\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -1430753968, -1430753967, -1430753966?\n\"Answer: h - 1430753969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (6*sqrt(5082))\/sqrt(6).\nAnswer: 1 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 13, 44, 85, 136, 197, 268?\n\"Answer: 5*t**2 + 16*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 36075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-57)\/(30210\/(-53))*-35.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bzcqbxv. What is prob of picking 1 q, 2 b, and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = -15 - -15.5. Let n = -1 + 2. Which is the biggest value? (a) n (b) d (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xgxxgsxg. Give prob of picking 1 s and 1 g.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0797*0.44.\nAnswer: -0.035068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out -452.6 * 0.1.\nAnswer: -45.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 481501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -92, -508, -1202, -2174, -3424, -4952?\nAnswer: -6758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -41 divided by 41?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 7443459*l**2*v**3 + v**3 - 24*v**2 - 25947 wrt l.\nAnswer: 14886918*l*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 7, -4, -4169340 in descending order.\nAnswer: 7, -4, -4169340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 19\/4 of a day in minutes?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-80)\/1*(-9)\/2. Let z = -1455 - -1465. Suppose z*b + r = 15*b. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 13013795?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -7 by 40295.\nAnswer: -7\/40295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -7*o + o - 7*o. Let g(c) = -185 + 483 - 298 - 2*c. Calculate g(z(n)).\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 653813 + -241810. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w, 1 j, and 2 u when four letters picked without replacement from {u: 5, j: 1, w: 1, a: 2, h: 3}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 3 (c) -29.1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 165 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 12*i**2. Let t(o) be the first derivative of -5\/3*o**3 + 0*o + 84 + 0*o**2. Give p(t(b)).\nAnswer: 300*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = -130 - -134. Let a = -0.02 + 0.32. Sort 0.2, a, y.\nAnswer: 0.2, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = r - 3. Let d(u) = u - 3. Let v = -3 + -3. Suppose -2550*q + 478*q + 10360 = 0. What is q*x(w) + v*d(w)?\nAnswer: -w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = -41*w - 32 - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/(12\/6))\/((-12)\/132*-66)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be 36\/2 - (6 + -6). Suppose -l + 9*z = 4*z + k, -4*z = -l - 14. Let j be 7\/21 + l\/(-18). Is j greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 111110 (base 2) in base 3?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 316 is divided by 62?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -g**2 - 2*g - 48 wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -2 - (171\/(-112) - 0) and 35\/22?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 13095 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(3\/2)\/t)**(-3\/13)\/((t*((t\/(t\/t**(2\/3)))\/t)\/t)\/(t\/t**(-3))) assuming t is positive.\nAnswer: t**(329\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*b*j**4 + b*j**2 - 1671*b*j - 120794*b - 3515*j**4 - 73*j**3 wrt j?\nAnswer: -72*b*j - 84360*j - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r**3 + 13230*r**2 - 106032*r = 0.\nAnswer: -4418, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be 159 + -159 + 1558 + 0. What is the highest common factor of 76 and l?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**3)**(3\/40) assuming g is positive.\nAnswer: g**(9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-52)\/18 - 356\/(-89). Factor -25\/9 - 1\/9*a**2 - u*a.\nAnswer: -(a + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (38 - -7) + -33 - (5 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/16*(-144)\/(-180)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 1 w when three letters picked without replacement from kwwwwkkkkkkwkwkkkwww.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -403 + 402.9. Which is the closest to -1? (a) -0.08 (b) 11\/2 (c) o (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) be the second derivative of y**6\/10 + 3*y**5\/20 - 3*y**4\/2 - 11*y + 2. Let t(v) = 0. What is v?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -129966, -259929, -389892?\nAnswer: -519855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.235? (a) -0.2 (b) 0 (c) 3 (d) -1983\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Let d = 0.00934 + -1.00934. What is the nearest to d in 6\/5, -542, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -438 - -291. Let x = i + 149. Which is the closest to 13? (a) 1\/5 (b) 1\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j and 1 g when three letters picked without replacement from jeejgejjeeegjee.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.04 + -0.02. Let t = 0.98 + m. Let v = 1\/2 - 1. Which is the nearest to v? (a) t (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4 + 14. Let t = 13 - z. Factor -2*y + y**t + y**3 + 0*y**3 - 6*y**2 + 4 + 2*y**4.\nAnswer: 2*(y - 1)**2*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j = -17394*f + 17394*f - 80, f - 60 = -3*j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*z + 17 = -11*z. What is the remainder when 40 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -p**2 - 6*p - 8. Let n be w(-2). Suppose 19*r - 25691 + 3632 = n. List the prime factors of r.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 247*w + 20 = f + 252*w, 2*f + 4*w = 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 1009*h**2. Let d(u) = -16*u**2. What is w(d(v))?\nAnswer: 258304*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.0497 + 0.5497. What is the nearest to 5\/6 in -5\/3, w, 2, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(2\/3)*x\/(x*x*(x*x**(-12)*x)\/x)*(x*x**(-3)*x)**(15\/2) assuming x is positive.\nAnswer: x**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*f - 3 + 3)*(31*f - 2*f + 40*f).\nAnswer: 138*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -159*c**2 + 0*c**3 + 78*c**2 - 5*c**4 + 1 + 80*c**2 + c**3 + c to q*c + w*c**4 + u*c**3 + n + t*c**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -13? (a) -1\/5 (b) -0.128 (c) 2\/3 (d) -0.3 (e) -401\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6 - 4. Suppose 0 = -m - d - 14, -3*d + 8*d - 56 = 4*m. Let s = 22 + m. Solve -5*v + s = -c - 19, -19 = a*c - 3*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3644 and 1344.\nAnswer: 1224384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -18*u**2. Let c(s) = 7937*s. Determine x(c(w)).\nAnswer: -1133927442*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*m**2 + 0*m**2 - m**2)*(-17*m**3 + 11*m**3 - 19*m**3) - 3*m**5 + m**5 - 4*m**5.\nAnswer: 19*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -3 < 470384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 367 minutes after 2:23 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 52 + -36. Let z = 13 - y. What is the third smallest value in 0.4, z, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*f**2 + 23 + 0*f**2 - 52 + 22 to the form c + d*f**2 + n*f and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -104686*n**2*q**4 - 2*n**2*q**2 - 54*n*q**4 + 3645*n*q**2 + 5*n*q - 44*n wrt q?\nAnswer: -2512464*n**2*q - 1296*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 481 less than -1501?\nAnswer: -1982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -2295?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 5, z: 7, o: 2, h: 5}. What is prob of sequence zhh?\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be 380\/25 - (-1)\/(-5). Let f = j - 12. Suppose -q - f = -25. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -5*p - w, -4*p - 235 = w - 243. Suppose d + 5 + 11 = 3*m, 2*m + 4*d = 20. Solve t**p - 7*t + 18 + m*t + 2*t**2 - 20 = 0 for t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2168120173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 0 = -15. Let k = -4 - -16. Let q be (-1)\/(k\/(-183)) + (-2)\/8. What is the greatest common divisor of j and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes after 9:44 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 4, g: 1, v: 5, j: 1}. What is prob of sequence vvvb?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 5*r - 25. Determine f(12).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 - 3. Suppose k - 6 = -3*x + 2, t*k = 5*x + 5. Solve 4*h - 15 = k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16\/(-68) + 29*(-20640)\/(-2879120)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*k**4 - 2050*k**3 - 205985*k**2 + 848700*k - 856980.\nAnswer: -5*(k - 2)**2*(k + 207)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 316, 3, -0.3, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/(2 - 3) + 9. Suppose -r - 3*r + l = 0. Find the third derivative of -y**2 + 5*y**4 - 7*y**4 + r*y**2 wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 62383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1685409 and 726.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ymcw when four letters picked without replacement from wumuccuucuuwcyccuwy?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -7, -32, -71, -124, -191, -272?\n\"Answer: -7*c**2 - 4*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 7*y - 1. Let a be x(-1). Let b be 6\/a - 23\/(-4). Let s(q) = -q**2 + 4*q - 1. What is s(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/(-46))\/(494\/(-90896))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 8*g + 10*g = 13, 0 = -3*z - g + 59. Calculate the least common multiple of 35 and z.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -3*m - 0*g + 3*g, 0 = m + 3*g + 6. Find f such that 4*f + m*f**2 + f - f - 2*f**2 - 2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50680462 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 5*g. Let p(y) = y + 1. Let t(j) = 3*j - 7. Let q(v) = 5*v - 13. Let c(d) = 4*q(d) - 7*t(d). Let s(w) = -c(w) - 3*p(w). What is a(s(r))?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -494, -653, -814, -977?\n\"Answer: -u**2 - 156*u - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 106 + -213\/2. Which is the third smallest value? (a) -0.1 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -382 divided by -25?\nAnswer: 382\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -1*40\/(24\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1816863 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-6)\/5)\/((-36)\/(-120)). Let h be p\/(9\/(108\/8)). Let j be ((-20000)\/(-6))\/(h\/135). Round j to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -5 + (-5 - -4)*-4. Let d(w) = -10*w**3 - 2*w**2 + 4*w + 6. Calculate the remainder when 32 is divided by d(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (0 - 4)*(-75)\/4 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 4.613211 weeks?\nAnswer: 2790070012.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 6602 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -2368, -6076, -11120, -17488, -25168, -34148?\n\"Answer: 2*b**3 - 680*b**2 - 1682*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 954 and 8424?\nAnswer: 446472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x**(2\/3))**29)**(-9\/10)\/((x**(-2\/7)*x)**(-12\/11)\/((x*x*(x*x*x**1\/x)\/x)\/x*x*x)**38) assuming x is positive.\nAnswer: x**(16829\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 2*t = -10. Solve -t*h = -5*h - 3*o, -2*h - 3*o + 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -834532 and 1.\nAnswer: -834532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16\/306)\/((-5936)\/(-40068)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j + 1177 - 1155 = 0 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10 + -101000110?\nAnswer: -101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*s**3 + 2*s**3 + 0*s**3)*((1 + 2 - 5)*(5 - 5 - 5) - 65 + 128 + 57)*(4 + 2*s - 4).\nAnswer: -520*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 15 + 23. Let i = 21.78 + -29. Let c = i - -6.92. Sort -5, r, c in descending order.\nAnswer: r, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:13 AM and 3:55 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 10 + -41\/4. Let v(q) = q**3 - 2*q**2 - 2*q + 2. Let h be v(3). Let w = 1757.85 + -1757.05. Which is the third biggest value? (a) h (b) w (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:33 PM and 9:11 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -548070 by 30.\nAnswer: -18269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 19849 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**3 + 1340410*g**2 - 2680814*g + 1340406.\nAnswer: -2*(g - 670203)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Total of 3.329 and -0.352.\nAnswer: 2.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = 18223\/98 - 218\/49. Solve 3\/2*w**2 + d - 33*w = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -v**3 + 28*v**2 + 49*v + 10521. What is m(37)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(6\/5)\/r*r)**(2\/41)\/((r**14*r*r)\/r)**(-1\/3) assuming r is positive.\nAnswer: r**(1037\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = -4*o + 29, 0 = -2*r - 4 + 2. Suppose -4*t = -5*p - 72, 2*t + o*p - 54 = 4*p. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v**3 - 4*v**2 + 3*v + 6. Let q be n(3). Let g be ((-67)\/33 - -2)*q. Which is the closest to -0.1? (a) -2\/23 (b) 2\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -17237 and -2\/55 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = -34\/223 - -11675\/4906. Let z = 2554 - 11325\/4. Let b = 275 + z. Find the common denominator of b and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -29*v**2 + 134*v - 7. Determine x(4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 - 2*a + (2*a + 3 - 3)*((-4 + 5 - 2)*(2 - 2 - 2) + 5 + 23 + 5) - 72*a + 43*a + 50*a.\nAnswer: 89*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -118147880, -118147881, -118147882, -118147883, -118147884, -118147885?\n\"Answer: -r - 118147879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 9 by -17.\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00149444 to 6 dps.\nAnswer: -0.001494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j be (16\/48)\/((-2)\/30). Sort -0.4, 0.03, j in increasing order.\nAnswer: j, -0.4, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o**3 - o + 2. Let p be k(0). Suppose -8 - 2 = -p*v. Solve -4*j - j = v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -111160.31 to the nearest one thousand.\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1315, -5288, -11913, -21190?\n\"Answer: -1326*j**2 + 5*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.001453 + 20.605547. Round m to one decimal place.\nAnswer: 20.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/(-30)*(-31 + 25).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6\/21 - ((-1992)\/(-28))\/(-3). Suppose -i*f = -21*f - 75. What is the remainder when 722 is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 9, -2, -0.5, 0.1, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0003542906 to 5 decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in fourty-two fifths of a decade?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1 - -144?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -811\/3 + 271. Which is the biggest value? (a) k (b) -3 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 1\/15 (b) 4 (c) 4\/13 (d) -36 (e) -2\/19 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-6)\/(-14) - 152\/28. Is -2\/7 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -146223? (a) -0.6 (b) 0.3 (c) 2\/5 (d) -3 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*w - 8961 = -1989. Suppose -15*o + 12*o = -w. What are the prime factors of o?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9782*w**2 - 7*w**3 - 9782*w**2.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -8313*n**2 - 3*n - 15*n + 3*n**3 - 3*n**3 + 97*n**6 + 8317*n**2 wrt n?\nAnswer: 11640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.045 * 48.8.\nAnswer: -2.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 2 o when three letters picked without replacement from {v: 3, o: 6, u: 8}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 164, 538, 908, 1274?\n\"Answer: -2*w**2 + 380*w - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -21143 - -5?\nAnswer: -21134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4)\/(-3)*6\/4. Suppose -6 - 2 = -q*j. Suppose -f = -3*f - j. Let c(k) = -3*k - 3. Give c(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 0*i = -r + 39, r + 2*i = 4. Let g be 1\/2*(r + -6). Suppose -g*t = -5 - 11. Solve 0 = -t*l + 5*p - 4, 4*l - 2*p - 8 + 0 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 7499*t**2 + 2*t + 2. Let u be q(-2). Suppose 5*w - 3*j + u = 0, 4*w = 2*j + j - 23994. What is w rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -57, -1280, -2503?\nAnswer: -3726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = c - 4, c = -2 - 2. Let y be (6*-6)\/l*(-28)\/6. Suppose y*v = 46*v - 12. What is the remainder when 3 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-72)\/60)\/(2\/30). What is the lowest common multiple of (s\/5)\/((-20)\/50) and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1366502847?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/z**(-9))**(-5\/6))**(-35) assuming z is positive.\nAnswer: z**(875\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = -2*j + 1185. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*u + 0*u + 4*u + (5*u + 0*u - 3*u)*(-3 - 1 - 2))*(-3 + 1 + 10).\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 2*w + 22 = 0, b - 3 = -4*w + 9. Suppose b*m - 180 = -2*z + 4*m, z - 4*m - 108 = 0. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1\/30658584 and 193\/153292920.\nAnswer: 153292920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-12)\/30 + 4\/10. Suppose -b + 5*b - 8 = v. Suppose 2*r - 26 = -y, b*y - 4*r + 34 = 3*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*g**3*y**5 - 22554*g**3*y**2 - 2*g**2 + 6267051*g*y**4 - 2*g*y**2 + 164*y**2 wrt y?\nAnswer: 120*g**3*y**2 + 150409224*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*o - 7*o - 4 = 0. Let c = o - 0. Suppose 0 = 5*s + 8*g - 3*g - 20, 0 = -g - c. What is the highest common factor of 40 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 304 + 443b?\nAnswer: 473f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -45835, -45787, -45739, -45691?\n\"Answer: 48*n - 45883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -6\/5 smaller than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 34441101 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 2*v = 79, 3*v + 70 = j + j. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 34 = -2*a, 12*a = 5*r + 9*a + 57. Let d(v) = v + 13. Give d(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:17 PM and 7:17 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 1 - 1861*i + 270*i - 11*i)*(7 + 9 + 4) as k + g*i and give g.\nAnswer: -32040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -53 (base 11) to base 5\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -155*q + 81*q - 7 + 7 + 76*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (((sqrt(78)*1 + sqrt(78))*-6)\/(sqrt(576)\/sqrt(6)))**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -8*q - 76. Give c(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 175465695.\nAnswer: 3, 5, 11697713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -77\/22404 and 19\/22404.\nAnswer: 22404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d + 5*d - 7*d - 12*n - 16 = -3*d, 4*n + 12 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -779334004*b**5 + 5*b**2 - 7766853*b wrt b.\nAnswer: -46760040240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 25, -7, -16, 2, -1.2, 7?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -209 + -2?\nAnswer: -20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = 518 + -504. Calculate the highest common factor of u and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 82945310?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 2*x**2 - 14*x - 3. Let g be b(11). Let s = g + -46. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence junu when four letters picked without replacement from unujutnjjn?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5, 1, -23, -79, -179, -335, -559?\nAnswer: -863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -686855*z - 16. Let h be 14*(-3)\/6 - -1. Let k be x(h). Suppose 2318886 = 7*s - k. Round s to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*u**2 + 291*u + 1638.\nAnswer: 3*(u + 6)*(u + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 231*g + 2321. Calculate the remainder when 2958 is divided by v(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*(sqrt(10) + sqrt(20)\/sqrt(18)))\/(1*sqrt(162)))**2.\nAnswer: 80\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2.6 + -18.6. Let a = -11 - z. Let r = 3 + -3. What is the closest to r in a, 0, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 379 - 398.7. Let x = -20 - y. Let t = -0.4 + 0.6. Which is the third smallest value? (a) t (b) x (c) -2\/5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 3872*w - 9. Let a(t) = -34875100*t + 81060. Calculate -6*a(f) - 54040*j(f).\nAnswer: 7720*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -2*s**2 - 20*s - 19. Let v be y(-8). Suppose t + v = 3*h, 6*h - 5*t = h + 15. Solve -4*l + 4*w = -7*l - 8, 0 = 5*l + h*w + 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m**2 + 29*m + 56. Let i be w(-27). Solve 3*o = -6, 6*g - g - 4*o = -i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -520707 + -475?\nAnswer: -521404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 3*n - 0*g - 5*g, -5*n - 2*g + 14 = 0. Suppose 4*b + 38 = -2*o + 212, 0 = n*o + 6. What is the remainder when b is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 - 4 = 3*z - 2*k, 5*z - k = -18. Sort 154, z, -5 in decreasing order.\nAnswer: 154, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -421.78 rounded to the nearest integer?\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in 32, 0, -4, -2\/813?\nAnswer: -2\/813","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes after 10:38 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -77.33939 rounded to two dps?\nAnswer: -77.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -1. Let x(k) = -9*k**3 - 5. Let r(l) = 6*d(l) - x(l). Let i(h) = h**3 + 11*h**2 - h - 7. Let a be i(-11). Suppose 2*y = a*y - 2. What is r(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (2 + -2 + 1\/3)*153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13490821279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3*6\/(-135))\/((-322)\/(-5635)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 4248, 17064, 38422, 68322, 106764, 153748?\n\"Answer: 4271*y**2 + 3*y - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 0 - 2 + 0 + 5*p. Suppose 4*y = -5*h + y + 56, -46 = -4*h - 3*y. What is the units digit of r(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3224 + 3231. Let y(p) = p**2 - 9*p - 9. What is y(c)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 12*c**3*g**2 + 2*c**2 + c*g**3 - 80*g**3 wrt c.\nAnswer: 36*c**2*g**2 + 4*c + g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*g - 4*g. Suppose g = 6*a - 2*a + 20. What is the closest to -1 in -3\/2, -0.3, a?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*i**2 + 2*i**2 + 0*i**2)*(-2 + 2 - 1)*(-2 + 1 + 0)*(0 + 3 - 1) to the form s + g*i + v*i**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a be 13\/5*-1 + 2. Let z be (-3 - (-102)\/36)*(-6)\/4. What is the nearest to z in a, 4, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 44398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**2 + 12*s + 13. Let b be k(7). Let o = b - 146. Solve 5*t - 16 = f + t, t - 3 = o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.5 - -0.5. Suppose -486*z + 1700 = -61*z. Let p = -29 + 86\/3. Which is the closest to p? (a) n (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -189 + 188.5. Sort x, -5, -1\/5 in ascending order.\nAnswer: -5, x, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/(-11) - 1\/(-11). Is -130 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 358781\/64 or -1?\nAnswer: 358781\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 3*m = -35. Let b = m - 5. Find d such that -6 - d - b*d + 0 + 0*d + 3*d**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4727.\nAnswer: 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-1)\/2)\/(8\/(-16)). Let g(y) = y**3 - y + 1. Let b(n) = 4*n**3 + 6*n + 3. Let m(u) = i*b(u) - 3*g(u). What is the second derivative of m(c) wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 156786185.\nAnswer: 5, 1567, 20011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 4*v**2 + 8*v - 8. Let l(x) = x**2 + 3*x - 3. Let a(o) = -16*o - 189. Suppose 0 = 11*b + 51 + 81. Let h be a(b). What is h*f(z) - 8*l(z)?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -0.021954 to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 0.4 (c) 1\/6 (d) 3 (e) 88 (f) 3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**2 + 6*j + 5. Let q be h(-5). Suppose -d + 0*d + 4 = q. Solve -3*b = -d*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the third derivative of -1\/945*y**7 + 1\/45*y**6 - 1\/5*y**5 + 0*y + y**4 + 0 - 3*y**3 - 4*y**2. Factor a(k).\nAnswer: -2*(k - 3)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*k*l**2 + 5754642*k - 3*l**2 + l - 24539 wrt k.\nAnswer: -2*l**2 + 5754642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rqkq when four letters picked without replacement from {r: 6, q: 3, k: 7, v: 1}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*-1*1*((-2*sqrt(567) + sqrt(567))**2 - sqrt(567)).\nAnswer: -2835 + 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 817 (base 14) in base 8?\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*h + h. Suppose 2*n - 5*j - 294 = h, -2*n + 3*j = j - 288. What are the prime factors of n?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 58 a factor of 4930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-168)\/(-54) - 3)*(-12)\/(-1). Let y = 5\/3 - 1. Let y + 1\/3*a**3 + f*a**2 + 5\/3*a = 0. Calculate a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30928 is divided by 269?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 12*c. Let l be y(3). Suppose -u - 2*v + l = 2*v, 2*u + 4*v = 56. Solve -5*m - 2*k = u, -6*k + k = 5*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3849 is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*t - 6 = -9*t - 4*a, -5*t = -a - 26. Solve 0 = t*o - 11 - 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -g + 4. Let i(v) = v - 1. Give 4*i(q) + 2*w(q).\nAnswer: 2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 45065*f**2*i**2 - 4*f**2*i*p**2 - 280*f**2*i*p + f*i*p**2 + 2*f*i*p + 100*f*p**2 + 17*i**2*p**2 wrt i?\nAnswer: 90130*f**2 + 34*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**3 + 8*f**2 + 8*f - 8. Determine k(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2.153 - 4.153. What is the second smallest value in 0.1, a, 4\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 96 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/9 in -1, 6, -1\/57, 0.24, -0.5?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -2*u**2 + 11*u + 10. Let h be c(9). Let j = h - -74. What is the units digit of 5\/10 + j\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*c + 42*c - 24*c - 32*c**3.\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -151064, -1208544, -4078840, -9668360, -18883512, -32630704?\nAnswer: -51816344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 0 not equal to -127\/6713426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (693\/49 - 16) + (-48)\/(-56)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s + 3. Suppose -1 = 3*n - 6*n + d, -6 = 2*n - 2*d. Let i be v(n). Solve -4*x - i = -5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2540 - 2150 + 2283*h + 3583 wrt h?\nAnswer: 2283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 306 = -2*n, 3*n - 413 = -7*v + 3*v. Suppose 5*x - 252 = n. Let t = -42 + x. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*v - 381 + 106 = -39*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -765, -5, -1, 5, -9, 2.\nAnswer: -765, -9, -5, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 97 minutes after 1:17 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2981203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7041238, 7041233, 7041228, 7041223, 7041218, 7041213?\nAnswer: 7041208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.23 + 2.77. Let k = 1.5 + -1. Which is the biggest value? (a) m (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 233*o**3*p**3 - 3*o**3*p**2 + 3922*o**2*p - 253*o*p**3 + 2*p**3 - p**2 wrt p?\nAnswer: 1398*o**3 - 1518*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -8, 13, 48, 103, 184, 297?\n\"Answer: s**3 + s**2 + 11*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l - 1. Let g(a) = a**3 - 9*a**2 + 18*a + 5. Let h be g(6). Let j(r) = 5. Let o(v) = -6. Let k(z) = h*j(z) + 4*o(z). Determine -2*c(n) - 3*k(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 191, 187, 179, 167, 151?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3440 greater than 3440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 178778309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*b - 12*b = 4*b + 36 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -4*p - 1178. Let b(l) = -6*l - 1767. Calculate -5*b(t) + 7*j(t).\nAnswer: 2*t + 589","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3485392?\nAnswer: 2, 31, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1071 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.0433, -0.1, 67986\/7 in descending order.\nAnswer: 67986\/7, 0.0433, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1, 0, -1, -2, -3, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5053\/390 + -168\/13. Let d(c) be the third derivative of y*c**5 - 2\/3*c**4 - 7*c**2 + 16\/3*c**3 + 0*c + 0. Solve d(q) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1 + -4*2\/(-8). Suppose m + h*m - 18 = 0. Find the third derivative of -13*o**2 - 12*o**m - 14*o + 14*o wrt o.\nAnswer: -1440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.293*0.2\nAnswer: 0.0586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the second derivative of -c**5\/20 - c**4\/3 + c**3\/6 + 3*c**2\/2 - 15*c. Let t = -20 - -40. Suppose 0*u - t = 5*u. Give y(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24012721549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.19832 times 284.16?\nAnswer: -56.3546112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes after 9:26 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 4 - 3 - (-3 + 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + sqrt(320) + 1 - sqrt(320))*2)**2 + 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 446 minutes after 2:44 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be (4\/1)\/(2\/23). Suppose -245 = -v*j + 261. Let o = 44 - 24. What is the remainder when o is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6\/16*-1*(-363184)\/72. Let a = b + -1887. What is the common denominator of a and -19\/70?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 82\/328965 and 47\/526344.\nAnswer: 2631720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/5)\/((-30)\/(-75)) + (-18)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1499 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: Simplify q**(2\/51)*q*q**(-35)*(q**7)**(-36) assuming q is positive.\nAnswer: q**(-14584\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 smaller than 328939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -4*k + 2*k. Suppose 3*q = -k*d + 7*d + 6, -2*d - 10 = -5*q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the second derivative of -5\/6*a**3 + 6*a + 0 - 7\/2*a**2. Find the first derivative of m(k) wrt k.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 371 minutes before 6:00 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3202 + -1424?\nAnswer: -10131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 61784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -13*m**4 - 4*m**4 + 3374*m**3 - 1 - 1684*m**3 - 1688*m**3 + 3*m to u*m**4 + r*m + f*m**2 + n + a*m**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 266474?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2935.001407 + 2935. What is k rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 73*o - 1650 = 163*o + 240*o. Sort 5, o, -1, 5596.\nAnswer: o, -1, 5, 5596","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3 (b) -4447 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0.038 + -0.067\nAnswer: -0.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 81 a factor of 7548795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 16139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14263791 is divided by 33641?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 44\/5 of a millennium in centuries?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence if when two letters picked without replacement from khizf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*v = -3*v - 130. Calculate the remainder when 2\/v - 5112\/(-45) is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 4*p = -4. Suppose p*c = -4*w - 1 - 39, 2*w - 2*c = 0. Put 3, 4, w in decreasing order.\nAnswer: 4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5663 - 2217. Suppose 3*q + 3*j = 649 + r, -3*j - 6833 = -5*q. Let d be (-400)\/6*(1 - q). Round d to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 2, t: 2, x: 1}. Give prob of sequence jx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 455294 and 238.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -2*n. Let r(h) be the second derivative of -41*h**3\/3 - h + 35. What is r(b(s))?\nAnswer: 164*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-13)\/((-4)\/(-16)*-2). Let t be (-152)\/w + 3 - -3. Which is the smallest value? (a) 4 (b) t (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve z - 12*z = -0*z - 616, 2*z = -3*q + 74 + 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:11 AM and 1:58 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:59 AM and 3:52 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1088) + -1)*-1 + 4.\nAnswer: -8*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -a - -1722?\nAnswer: 1713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 36294714?\nAnswer: 2, 3, 2016373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -2\/3, 5, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -65 - -62. Let u = -4 - -7. Let z = p + u. Solve n + z*n + 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 898807, 1797608, 2696407, 3595204, 4493999, 5392792?\nAnswer: 6291583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*j + 15732 = 2173. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -10*x**3 - 35*x**2 - 20*x + 20.\nAnswer: -5*(x + 2)**2*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = -23.8044 + 23.65. What is x rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1477 or 1361?\nAnswer: 1477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the second derivative of 13*p**8\/28 + p**4\/2 - 26*p. Find the third derivative of i(h) wrt h.\nAnswer: 3120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 15*d**2 - d + 10. Is 63 a factor of t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -8 - -43. Is 22 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 3029.8318 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3569.\nAnswer: 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1854)\/(-468))\/((-11)\/33) - -12?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the first derivative of 17*j**2 - 36 + 4 - 2 - 18*j**2. Let d(h) = -68*h. Give d(l(i)).\nAnswer: 136*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 - -0.36658?\nAnswer: 0.86658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1248 + -511. Let a = -736.998955 + h. Round a to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -356 - -374. Which is bigger: u or 2.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 67550 and 350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 406\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 37\/26 + 569\/130. Find the common denominator of p and 56\/135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:41 AM and 7:29 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (507\/1521)\/(26\/(-4758)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -20 - -23. Suppose -6 = -2*v, 2*v - 4*v = o*m - 135. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -69576, -1798 in increasing order.\nAnswer: -69576, -1798, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3294.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -7, -13, -39, -97, -199, -357, -583?\n\"Answer: -2*t**3 + 2*t**2 + 2*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y + 5*a - 35, 0 = -4*y - a + 2*a + 17. Suppose -52 = 5*v - y*q + 8, 0 = -v - 3*q - 32. Let z = v + 20. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = -4*p + 33 - 15, 2*p + v - 8 = 0. Solve -4 = -2*m, d - m = -p*m + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.5, -2\/5, -5, 4\/13, -41?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-749 + 368 - -379) + (-2 - (1 + -2 + 134))?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -2*c**2 + 79*c + 42. Let y be j(40). What is the second derivative of 65*d**2 + 175 - 160 + 0*d**2 - y*d wrt d?\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -0.002, 4, 2\/35, 0?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 66, 58, 5, -4.\nAnswer: -4, 5, 58, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes after 3:37 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24728\/843*(-3)\/(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 22597505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 2631491039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the second derivative of w**6\/70 - 3*w**5\/14 + 37*w**4\/28 - 30*w**3\/7 + 54*w**2\/7 + 7*w + 10. Let o(a) = 0. What is a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.2 and 4410?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-36)\/(-3))\/(-3) + 4. Let v(j) = 0*j + 20 + j - 7. What is the units digit of v(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is a44243 (base 12) in base 13?\nAnswer: 6c3864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.21 - -0.2. Let f = x - -3.01. Let b = 1781 - 1781.4. Sort f, 1, b in ascending order.\nAnswer: b, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -180 - -4397?\nAnswer: 4217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 365899 = 115*n - 129*n + 1130663. Does 45 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*c + 26 - 2. Let b(g) = 14*g**2 - 25*g**2 + c*g**2. Let x(h) = 3*h. What is b(x(w))?\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s + 1. Let l(c) = -c**3 + 5*c**2 - 8*c + 4. Let o = 34 - -30. Let h = o - 61. Let t be l(h). What is n(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12631 + 12641. What is the highest common factor of h and 2540?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5866 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -25, 7, -2.61, -5\/4, 2\/11?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1 - (-4)\/(-8))*254. What are the prime factors of t + 6\/(-3) + -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -21, -142, -467, -1098, -2137, -3686?\n\"Answer: -17*g**3 - 2*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = 4*u - 31. Suppose u*j + 4*c - 39 = 2*j, 0 = 3*c. Calculate the remainder when 83 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = n + 945. Let x(g) = -3*g**2 + 15*g + 5. Let s(k) = -k**2 + 6*k + 2. Let i(u) = 5*s(u) - 2*x(u). Calculate t(i(a)).\nAnswer: a**2 + 945","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 39, -3, 1 in descending order.\nAnswer: 39, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-30)\/(-150) - (-4)\/(-28). Which is smaller: -111\/5 or k?\nAnswer: -111\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - j - 11 = -2*y, 4*j - 32 = -5*y. Let f(n) = 1 + n**2 + 0*n - 6*n - n + 3*n. Determine f(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -328*u**2 - 2*u - 3. Let j be c(-2). Let n = j - -642. Let q = n + 1004. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1261, -1257, -1249, -1237, -1221, -1201, -1177?\n\"Answer: 2*w**2 - 2*w - 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -1449 by 69.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 142459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1602.999998194 - 1603. Round t to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0004235631 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 2*s - 1. Calculate o(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {r: 1, j: 1, y: 4, o: 1, u: 3, f: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 158, 273, 460, 713, 1026, 1393, 1808, 2265?\n\"Answer: -z**3 + 42*z**2 - 4*z + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in fourty-seven quarters of a milligram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m + m + 14. Let j = 12 + m. Which is greater: j or 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 513 = 4*j + y, -6*y + 7*y + 132 = j. Let w be 1 + (-11*5 - -1). Let i = j + w. What is the remainder when i is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8554\/9 less than or equal to 0.2788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 77\/2 of a minute in seconds?\nAnswer: 2310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/n**(-10\/9))\/n*n)\/(n**(1\/10)*n) assuming n is positive.\nAnswer: n**(91\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + j + 9 = 0, 4*q - j = 3*j. Suppose 0 = r + 4*t - 36, -5*r - t = -27 - 58. Let v = r - q. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:47 PM and 10:15 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 1129*y + 144 = -r + 1136*y, -r - 3*y + 56 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7020*b - 17524*b - 11764*b + 10215*b to the form r + i*b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4902099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 1\/2, 117, 1, -5\/23, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 3*p**2 + 401*p - 3089. Determine l(8).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*q - 1 - 5 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1397 is divided by 2\/(679\/194 + 17\/(-5))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6544693 - 20921281. Let s be -2 + 0 + 1*c. Let u = s + 25276590. Round u to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 22467716, 44935418, 67403120, 89870822, 112338524, 134806226?\nAnswer: 157273928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 336*w + 10527. Determine j(-32).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((6216\/(-40))\/7)\/(4\/(-20))*2\/(-6)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.583045 and 357.3.\nAnswer: 356.716955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15063?\nAnswer: 3, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -171*m**2 - 321*m - 20. What is j(-3)?\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*k + 8048*l - 8050*l - 38, 0 = 5*k + l + 54 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4\/3? (a) 2.3 (b) -2 (c) 1\/4 (d) -0.5 (e) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-23)\/(207\/(-36))*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**5\/3 - 14495*p**4\/3 - 23226248*p**3 - 109343872832*p**2\/3 + 8359087943168*p\/3.\nAnswer: -p*(p - 73)*(p + 4856)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4386\/10 - 12\/(-15). Let w = -438 + i. Factor -3\/5*k**2 + 7\/5*k**3 - w*k - 2\/5 + k**4.\nAnswer: (k - 1)*(k + 1)**2*(5*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.03 + -0.37. Let n = 48353 + -48361. What is the closest to k in -1\/2, -1\/3, n, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:52 AM and 3:23 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one halves of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 - (10 + -22) - (-10 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - f = 1167, -57*m + 52*m - f = -5829. What are the prime factors of m?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 537 - -128. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l**3 - 21*l + 54. Give y(5).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -279, -212, -145, -78?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from {u: 7, z: 4, c: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: -21010 (base 4) to base 15\nAnswer: -28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.1, -2\/3, -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 72\/1181 + -61244\/927085. Let p = o + 1881677\/6280. Let l = 302 - p. Find the common denominator of l and -36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m*m**6*m))\/m)**(4\/3) assuming m is positive.\nAnswer: m**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 7541 - 31042*u + 31044*u - 575 as f + l*u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 203, 200, 195, 188, 179, 168?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -12561 divided by -12561?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = -13 - -4. Let c = 26 + -24. What is the closest to z in -0.3, c, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) be the third derivative of -s**4\/12 - s**3\/2 + 37*s**2. Let h(w) = -w. Determine 4*h(o) - l(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 1999 + 5302 = 2*x, 0 = -2*b - 3*x + 14599. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 51 and 693141?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 0, -2\/13, 5, 6, 3, 7, 1064?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dp when two letters picked without replacement from ddddgdddgp?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 43354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 68208749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10966.\nAnswer: 2, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve n = 6*v - 2*v - 77, 30*n + 345 = -14*n + 3*v + 71 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/3, -0.2, 0.3, 6307?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 328 a factor of 164101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 54362 divided by 16.\nAnswer: 27181\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 9*q + 13. Let v be (0 - (3 + -1))\/((-8)\/(-20)). Let w(z) = -5*z - 7. Determine v*w(m) - 3*f(m).\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 59986259419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 31 + (-30 + 43 - (4 - -14))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 2, -15, -23 in increasing order.\nAnswer: -23, -15, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 490.95 + -492. Let l = -1.45 - i. What is the closest to -2 in l, 5, 3, 2\/17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*i - 4*i, 3*s = -i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -20928 divided by -2616\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 20600 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = -16 + 10. Let s be (-5 - (-2)\/1) + 12. Let v = r + s. Calculate the highest common divisor of v and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 120669358*v**5 - 679*v**2 + 1088*v - 20?\nAnswer: 7240161480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -42 - 413120?\nAnswer: -413212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 197517 (base 11) to base 2\nAnswer: 1001001111010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1100010001000101110110 (base 2) to base 8\nAnswer: 14210566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p + 2*n - 14 = -6*n - 62, 11*p - 4*n + 158 = 0 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2555.6 + -2555.569934. Let i = -3.97 + 4. Let r = i - f. What is r rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (45\/(-7))\/(19557\/(-228165)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1952810, -1952809, -1952810, -1952813, -1952818, -1952825?\n\"Answer: -d**2 + 4*d - 1952813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -71*d + 3105 + 1013. Solve -z - 9 = p, -4*z - 5*p + 17 = d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y, 2 h, and 1 o when four letters picked without replacement from {y: 4, h: 6, x: 1, w: 2, o: 3, k: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14 + -12. What is the second smallest value in 0.4, 0.3, 4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 173732 - 0?\nAnswer: 173732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -16 + 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 10497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -4*t - 5. Let a(u) = -u - 1. Let s be 3*(-8)\/48*-2. What is s*h(f) - 5*a(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 + 222655599.\nAnswer: 222655595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -0.62, 2\/5, -1\/244 in descending order.\nAnswer: 2\/5, -1\/244, -0.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18613?\nAnswer: 7, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(-28)*(-142373)\/3698?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 658 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 3) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 0 + sqrt(55)\/(sqrt(5)*1) + (sqrt(44))**2*1*5 + 4.\nAnswer: sqrt(11) + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -19*c. Suppose 3*u + 2 = 5*f, 0 = -4*f + u + 2*u + 4. Let d(w) = 38*w. Let g(s) = f*d(s) - 5*j(s). Let h(y) = y. Determine g(h(k)).\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence br when two letters picked without replacement from xrpcrrrcchxcrbr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6*a**3*y**2 - 841816*a**3*y + 11*a**2*y**2 + 2*a**2 + 13*a*y**2 - 2*y + 953 wrt a?\nAnswer: 36*y**2 - 5050896*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -947 > -947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -414665 (base 7) to base 11.\nAnswer: -49667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of (-2)\/(2\/9 - 20\/84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4568503493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = h. Suppose -2*w = -5*w + 6, -2*w = -4*k + 12. Let i(s) = 3 - 4 - 1 - k*s. What is -i(f) - 5*n(f)?\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 78199930 to the nearest integer?\nAnswer: 8843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -378*h + 89545. Determine n(237).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 111443?\nAnswer: 111443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 5 (b) 3 (c) 15 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Total of -210392657724976 and -0.4.\nAnswer: -210392657724976.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 38\/105 and (-11 + 5576\/360)\/((-4)\/(-3)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4.8 + -5. Let n = -80 + 76. Sort r, 5, n.\nAnswer: n, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -2*l + 21 + l**2 - 24 + 5*l. What are the prime factors of h(5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -105 - 432 = -3*z. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22 divided by -2672.\nAnswer: -11\/1336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 6 = 2*p, c + 1 = 3*p + 6. Suppose -9*a - t - 5 = -5*a, -t + 7 = -2*a. Let l = -1511\/24 - -190\/3. Put a, p, l in decreasing order.\nAnswer: l, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 - 46) + (-3504)\/(-48).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 3606 = 4*f, 4*s - 3*f = 5909 + 1328. Suppose -s = -3*g + 4*m + 2713, -3*m = 15. Suppose 4*t - g = 11298. Round t to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8701, -16943, -25189, -33439, -41693, -49951, -58213?\nAnswer: -66479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 239, -1, -0.1, 1\/5, -1.04.\nAnswer: -1.04, -1, -0.1, 1\/5, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 22187 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 277 + 223 = 5*k, 3*k = 0. Let p(v) = 16*v**3 + 8*v**2 - 29. Let o be p(-2). Let n = i - o. Solve n = 4*z + 2*s + 12, 0 = -5*z + 3*s - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = x**2 - 15*x - 14. Let w be q(15). Let j = -9 - w. Suppose -j*z + 101 = -2*r, 7*z - 3*z + 4*r = 64. Does 19 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 213219632 is divided by 71073209?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) 14 (b) 0.2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 197 minutes after 4:46 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 1\/2 (b) 0.02 (c) 8\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 10, -16.\nAnswer: -16, -7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 562, 1123, 1684, 2245, 2806, 3367?\n\"Answer: 561*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 6952622 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = 4*a + k, 4*k = 5*a - 48 + 46 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -14808 by -617.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 1, o: 3, h: 4, w: 3, l: 3, f: 2}. What is prob of sequence hohv?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o - 3*a + a - 697, -a = 5*o + 701. Suppose 0 = -t - 2*t - 54. Calculate the common denominator of o\/t*5\/(-10) and 73\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -21 + 15. Let p be (-4)\/d*(-18)\/30. Let m be (5\/(125\/(-15)))\/3. Which is the nearest to p? (a) m (b) -5 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 75*v - 74*v - 5*t - 189, -15 = 3*t. Calculate the remainder when 433 is divided by v.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 497 = 343. Suppose -4*z = -u - 8, 3*z - 21 = -5*u + 2*u. Suppose 2*d = -i + 124, -z*d + 0*i = -3*i - o. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00018173 rounded to 6 dps?\nAnswer: 0.000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:29 PM and 4:06 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11 - -11. Suppose -2*j - 3*j = 105. Let p be j\/(-56)*(-4)\/(-6). What is the closest to -2\/13 in h, p, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b = 5*o + 32261 - 155217, -2*b + 98378 = 4*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -38 + 49. Calculate the highest common divisor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2243 + 3336. Suppose -2*s + x + 69 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yqz when three letters picked without replacement from {z: 2, g: 1, q: 4, y: 2, e: 3, a: 6}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3240 and 11820.\nAnswer: 638280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (169*(-159)\/(-241839))\/(2\/(-28))?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s**2 + 3*s - 1. Let a(y) = -3*y - 14. Let v be a(-6). Calculate b(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 369211 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 654, 2197, 6384, 14535, 27970, 48009, 75972?\n\"Answer: 220*s**3 + 2*s**2 - 3*s + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the first derivative of 135*i**2\/2 + 129*i - 269. What is the first derivative of y(z) wrt z?\nAnswer: 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(5\/4)*i*(i*i*i**13*i*i)\/i*i*i**13*i**(-9\/2) assuming i is positive.\nAnswer: i**(111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(-1))\/(15*13\/(-39))*-1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q**2 + 3*q + 23. Let i be d(6). What is the second derivative of -11*t**2 - i*t + 39*t**2 - 13*t wrt t?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 634, 642, -6, -1310, -3270, -5886, -9158?\nAnswer: -13086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2559.387384 - 0.27?\nAnswer: -2559.657384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 3 take away 0.06899?\nAnswer: 2.93101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4.11 - -0.11. Let s = 6.3 - 0.3. Let p = s + w. What is the biggest value in -5, 2\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30224279 is divided by 1464.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 90360806 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 40957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:13 PM and 12:05 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 38086 and 1112?\nAnswer: 152344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 0.013075538 to four decimal places.\nAnswer: 0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o + 1. Let x(q) = q**2 - 4*q - 4. Let u(z) = -4*j(z) - x(z). Solve u(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 136*h + 181. Let k(q) = 67*q + 90. Let n be -5*(-12)\/(-8)*10\/15. Let w(s) = n*k(s) + 2*t(s). Find the first derivative of w(m) wrt m.\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c - 5. Let h be f(11). Let o be (-3)\/h - 9\/(-2). What are the prime factors of 191\/4 - (-1)\/o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-13)*q*q*q**8\/q*q*q*q*q**1*q**(-3\/7)*q*q assuming q is positive.\nAnswer: q**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 35 = 8*r. Let i be 18\/r - (-108)\/(-180). Solve 28 - i = 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i - 48 - 207. Find the second derivative of k**3 - 624*k**2 - 13*k + i*k**4 + 624*k**2 wrt k.\nAnswer: 612*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00697 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -76 - -81. Let x(c) = -297*c**2 - 263*c + 11. Let g(l) = 198*l**2 + 175*l - 8. Let h(b) = y*x(b) + 7*g(b). What is the second derivative of h(u) wrt u?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j*j\/j**(-10\/7))\/(j\/j**(-6\/13)) assuming j is positive.\nAnswer: j**(270\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-3568)\/22)\/(7\/(-1)). Let t = 166\/7 - h. Are t and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 19 and 0.5.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 7) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 26 + l - 19 + 11 in the form a*l + i and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 0.4 (b) 2\/7 (c) 0.2 (d) -76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 36*f**2 + 3*f**3 + 5*f**3 - 25*f**2 wrt f?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 7*r - 12 = 0. Suppose -4*o = 2*s - r*o - 264, -5*s - 4*o = -657. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.8 + -0.3. Let l = 6 + -5. Let s = m - l. Which is the second smallest value? (a) 0.2 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*z + 2*z - 3*z)*(-7*z + 3*z - 4*z)*(-1 + 2 + 0) + (0*z + 3*z - z)*(z + 0*z - 3*z) as w*z**2 + x*z + j and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c**3 + 9*c**2 - 113*c + 20. Let o be m(-16). Let w = 25 - 25. Put o, w, 8 in increasing order.\nAnswer: w, 8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -50, -44, -38, -32, -26, -20?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*b = 60*b - 43846. Suppose -2*o - 3*z = -z - 1998, -2*o - z = -b. List the prime factors of o.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 63043635 is divided by 12608719.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.434587km in centimeters?\nAnswer: 43458.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2.1 + 2. Let x = 0.1 - 6.1. Let a = x + 4. What is the nearest to 0.1 in a, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -6\/11 (c) 1 (d) -13294\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the second derivative of -q**3\/6 + 3*q**2 + 8*q. Calculate the remainder when 29 is divided by c(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (150\/40)\/(-9*(-9)\/108)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((6370\/84)\/(-91))\/((-3960)\/(-432)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -61 - -105. Suppose 122 = 5*h - 2*o, -2*h - k = -4*h + 2*o. Let n = -10 - -19. Calculate the remainder when h is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -143*b + 66. What is d(2)?\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 2580, 2585, 2592, 2601, 2612, 2625?\n\"Answer: b**2 + 2*b + 2577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -2*z**2 - 7*z + 8. Let w be 6 + -9 + 0 + -3 + 0. Give b(w).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the first derivative of 1\/3*z**3 + 5\/2*z**2 - 6*z - 23. Let s be a(-6). Solve -4*t + 4 - 16 = s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 22a - -14?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1911808412, -1911808413, -1911808414, -1911808415, -1911808416, -1911808417?\n\"Answer: -w - 1911808411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6989579 greater than 6989585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 334569 is divided by 12391?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -885 (base 10) to base 2\nAnswer: -1101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-7)\/(63\/6))\/(27\/(-3)*1)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 3*s - 15 = 0, -3*d - 2*s + 33 = -7*s. Solve 106*r = 103*r - d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4380 and 1758405?\nAnswer: 513454260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 + 13 = -4*x. Let f(h) be the second derivative of -h**3\/6 + 3*h**2 - h. Calculate the remainder when 32 is divided by f(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 381 - 3*h**2 - 30*h**2 - 3*h**3 - 60*h**2 wrt h.\nAnswer: -9*h**2 - 186*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u + 56 = -4*x, -18400*x + 18402*x + 49 = 5*u for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 666*x - 5. Let z be y(-1). Let s = z + 1159. Calculate the highest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-36)\/4)\/((-111)\/(-185))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2 (b) -1763.8 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5544 and 491778?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the second derivative of 7*c**6\/720 + c**5\/40 + c**4\/3 - 6*c. Let l(q) be the third derivative of n(q). Differentiate l(d) wrt d.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the first derivative of -3*h**2 - 2*h - 4\/3*h**3 + 6\/5*h**5 + 1\/3*h**6 + 4 + h**4. Factor c(g).\nAnswer: 2*(g - 1)*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -u**2 - 5*u + 8. Let n be d(-6). Let j = -84 - -48. Let x be (3\/n)\/((-2)\/j). Solve -5*v + x = l, -l - 2 = -v + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 5, d: 4, x: 7}. Give prob of sequence xiix.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 44, 49, 56, 65, 76, 89?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25494.\nAnswer: 2, 3, 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6\/(-1) + 154\/11. Solve -2*h = -b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 43556 + 112*f**4 - 43556 + (-2*f + 79 - 79)*(-3*f**3 + 0*f**3 + 5*f**3).\nAnswer: 108*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = 2*l - 22, l + 6*w - 11 = 5*w. Let n be (-346)\/(-2) + (14 - l). Calculate the highest common divisor of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 2674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Are 179963 and 5578830\/31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -51*i + 20. Let m be v(6). Let c = m + 323. Solve -c = 4*o - 25 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -915 (base 11) to base 2.\nAnswer: -10001010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-6)\/15*-1*10. Is ((-1438)\/t - -1)*8\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*w**5 - 339746*w**3 + 96*w**2 + 2315*w + 187260 wrt w.\nAnswer: -40*w**3 - 2038476*w + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -596 + 602. Suppose 5*w + f*n - n + 25099995 = 0, 2*w + 10040005 = 5*n. Round w to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-143)\/(-2145) + 6937\/(-105)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*z**3 + 6028*z**2 + 3799064*z - 1162358256 = 0. Calculate z.\nAnswer: -1618, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Solve -2*v - p + p = p + 35, -145386*p + 145387*p + 5 = 0 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is (-1 - -2) + 7803 + 13 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -13*o + 1. Let z be j(-1). What is the greatest common divisor of 154 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*x**2 + 2*x**2 + 3*x**2 + (0*x - 5*x + 2*x)*(-11 + 11 - 8*x) + x**2 + 0 + 0.\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -0.5 (b) -4 (c) 34\/49 (d) 0.1 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**3\/5 - t**2\/5.\nAnswer: -t**2*(2*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 14278 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 26? (a) -0.3 (b) -5\/2 (c) 3621\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.1 + 0.1. Suppose -4*k + 0*k = 12. Let x be (7\/((-21)\/(-8)) + k)*2. What is the nearest to x in 5, 2\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 132 and -723?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (1625\/525 - (-2)\/(-21)) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 59405004 a multiple of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 22111 (base 5) to base 9.\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 10990 = 46258*i - 45944*i for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -355 - -356. List the prime factors of (-3 - h) + (-7400)\/(-10).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-4)\/21)\/((-175)\/(-105)))\/(((-20)\/35)\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the third derivative of 5*w**8\/2184 + w**7\/455 - w**6\/390 - 20*w**2. Find q, given that r(q) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.2 + -194757.\nAnswer: -194757.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -9*n**3 + n**2 + n - 1. Suppose 0 = 2*u + 4 - 6. Let m be 0\/(1 + 1 + 0). Let g = m + u. Calculate o(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 (base 14) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 8064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -25803 in 0.5, -3, -1, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*(42\/45)\/(-14).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -1718861 (base 10) to base 11.\nAnswer: -a74451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6309901 is divided by 770.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 9204*u**3 + 10*u**2 + 5*u + 20. Let d(p) = 4601*p**3 + 6*p**2 + 3*p + 12. Determine -3*b(q) + 5*d(q).\nAnswer: -4607*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**3\/5 + 31*q**2\/5 - 26*q + 57\/5.\nAnswer: (q - 3)*(q + 19)*(2*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2548 - 2547.9995434. What is c rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -249635209975 and -0.2.\nAnswer: -249635209975.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (330\/(-30))\/(-44)*16\/(-22)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4\/11? (a) -3 (b) 178 (c) 5\/6 (d) 34 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*u**2 + 9*u - 46*u**5 - 3*u - 11*u**5 wrt u?\nAnswer: -3420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes after 3:53 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 21 + -19. Suppose l = 3 - g. Let m be 10\/(-2) + l + 8. Solve m*i = -4*a, 3*a + i - 10 = -0*i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 101 + -47. Suppose -24*y + 23*y + a = 0. What is the remainder when y is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1434*v + 1520*v = 1548 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r - r - 18. Suppose 0*l = -4*l, -l - r = -3*i. Let f = -172053 - -172053. Solve i*z - 7*z = f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r**3 + 3*r**2 + r. Let v be c(-1). Calculate the greatest common factor of v and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3 - 3 - 6\/(-88)*(-70)\/21. Which is the smallest value? (a) -2 (b) 2 (c) h (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-42772)\/(-288711))\/(8\/(-6))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that -5*d**2 + 1236740*d - 76476291380 = 0.\nAnswer: 123674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -7 - (9 - 15 - (-6 - 0)) - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -28\/949595 and -27\/155?\nAnswer: 29437445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide 164 by -4.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-5)\/(-10)*-327*-18. Let p be (0 - 1)\/(9\/w). Is 3\/1 + -1 - p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, 1\/21, -12\/7 in increasing order.\nAnswer: -12\/7, 1\/21, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 2\/(14\/9)*(-2856)\/(-306)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-9)\/45 - 136\/(-5). Let n = 35 - h. Suppose -2*s - 60 = -n*s. Solve -v - 15 = -5*v + t, 2*t = s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 99 = -3*f, -n - 218 + 53 = -5*f. Factor 3*h + f*h - 21*h**2 - 1 + 1 + 12.\nAnswer: -3*(h - 2)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 13276 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3 + 0. Suppose -f = i - p, -2*f + 0 + 1 = i. Solve -i*h - 3*o + 12 = -5, -3*h + 4*o = -16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b**3 - 6*b**2 - 12*b - 53. Suppose 70 = 2*d - 116. What is the remainder when d is divided by o(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -24, 5.\nAnswer: -24, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1a08 + 15?\nAnswer: 1a1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3622530 + -1?\nAnswer: -3622531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u = -5*d - 43, 8*u - 129811*d + 129810*d - 95 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 634.7 - 635. What is the closest to -0.2 in n, -0.5, 0.13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 0.006753131 and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 23825 and 3946373.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -4*b + 2 - 4*b + 4*b + 3*b. Let c(o) = o**2 - 4*o + 1. Let z be c(3). What are the prime factors of r(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5.05 + -0.05. Let z = w - 7. Let q = 0.13 - -0.87. Which is the biggest value? (a) -0.4 (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 6*o - 61 - 18*o + 2*o in the form m*o + c and give c.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -5*d**3 - 125*d**2 - 2*d. Let p(r) = -4*r**3 - 125*r**2 - 2*r. Give 3*f(n) - 4*p(n).\nAnswer: n**3 + 125*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 - 23 - (-17 + -8 + 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-33)*385\/(-140).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -2.56 and -5024617726?\nAnswer: 5024617723.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 111*m**3*p - 12064*m**3 + 28*m*p**4 wrt p?\nAnswer: 111*m**3 + 112*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 60, -2, 1, -5, 3 in increasing order.\nAnswer: -5, -2, 1, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j + 2*j**2 + j)*(1 + 5 - 5)*(-21*j - 14*j**2 + 21*j).\nAnswer: -28*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 274 = 5*k + 44. What is the remainder when (7 - 10 - 4)*(-15)\/((-840)\/(-688)) is divided by k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1109.8 - 1021. Round l to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -2*o**2 + 6*o + 14. Let g be a(6). Is 24 a factor of 1\/(-2) + (-6875)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 45 - 50. Let v be (2\/g)\/(6\/10)*609. Round v to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -9\/4 - -11\/4. Let n = 1.03 - 0.03. Let l be (-5)\/(-3) + (-532)\/168. Which is the smallest value? (a) n (b) l (c) 0 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -288872 divided by 4?\nAnswer: -72218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -17 (b) -74 (c) -2\/287\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (10\/(-8))\/((-5)\/6)*6. Solve -15*i - j = -12*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from xxuxuuuxxuxxxkxxuqmu.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -21.1 in 4, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 254 minutes before 8:15 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 7624837741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 26, 202, 488, 878, 1366, 1946?\n\"Answer: -g**3 + 61*g**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 794913*m**3 + 837651*m**2 wrt m?\nAnswer: 4769478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + ((-2*sqrt(1331) + sqrt(11))*3 - (4 + -2*sqrt(891))))**2.\nAnswer: 22275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000001344602 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -c - 5, 2*q + 0*q = c + 17. Let h be (-2 + -1)*q\/(-9). Solve 0 = h*t - t + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x**2 - 2*x + 3. Let z(w) = w**2 + 4*w - 8. Let o be z(-6). Let u be f(o). Let t = -2465 + 2498. Calculate the greatest common factor of t and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by -3326874\nAnswer: -2\/1663437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 6329232 a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 567 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = -0*k - 415. List the prime factors of k.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10747069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4361251 - -23?\nAnswer: 4361304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 88965?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-7 - 5)*6\/(-8). Suppose -64 + 10 = -i*p. What is the derivative of -24*m**4 + 35 - p*m**4 - 16*m**4 wrt m?\nAnswer: -184*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2280.625um to kilometers.\nAnswer: 0.000002280625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.005 - 28.005. Let a = -27.999956 - v. What is a rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.9745 to 2 dps.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.4, 3, 0.4, 9, 1622, -268?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:48 AM and 12:11 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 4*m - m. Let q be (2 - 3) + m + 1. Is q at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.3 and 583165?\nAnswer: 174949.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6423 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p**2. Let v be (-241)\/(-1) + (-1 - 1). Suppose -5*f = v - 829. Let d(s) = -f + 118 + 14*s**2. Determine t(d(j)).\nAnswer: -196*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = -31 + 30. Sort -0.3, -4, 2\/9, d.\nAnswer: -4, d, -0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -5*n + 137, -3*n = -8*n - 4*x + 144. Suppose -2*l - 5*j + 12 = 0, 0 = 5*l + 2*j - n - 2. Calculate the greatest common factor of l and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3 - 0. Let u = 7.7 + -8. Put u, 1, g in descending order.\nAnswer: g, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the second derivative of -3*g**6\/10 + g**4\/12 - 45*g**2\/2 - 2*g + 13. Find the third derivative of q(j) wrt j.\nAnswer: -216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(7)*2 + sqrt(112) + 1 + ((sqrt(42) - 3*1*sqrt(42))\/(-1*sqrt(726) - sqrt(6)))**2.\nAnswer: 223\/36 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 12849271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -272*o**3 + 5*o**2 + 5. Let v(t) = -1768*t**3 + 32*t**2 + 32. Determine 32*n(s) - 5*v(s).\nAnswer: 136*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1186, 4783, 10778, 19171, 29962, 43151?\nAnswer: 58738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - 3)\/(-2) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 2\/7, 1, 6, 4, -15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 912.9422nm in meters?\nAnswer: 0.0000009129422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -27 - -32. Suppose 4*g + 192 = 4*n, -5*g = d*n - 276 + 76. What is the greatest common factor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w + 8, s + 57 = 6*s - w. Calculate the remainder when 17 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, x: 1, n: 2, z: 1}. What is prob of picking 3 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 775845324 divided by 4?\nAnswer: 193961331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 3*j**3 - 16*j**2 - 9*j - 18. Give r(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 16\/6163?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 109469474 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 42734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 0 + 0 + 17*r - 3*r in the form s + v*r and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the third derivative of -9*j**5\/10 + 8430*j**2. Let i(c) = 4*c - 3*c - c - 2*c**2. What is i(l(d))?\nAnswer: -5832*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 33 + -30. Suppose q*r = 256 - 46. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(112)*-6*-1.\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 317 + -312. Let d(i) be the second derivative of 0*i**4 + 0 - 1\/5*i**w + 0*i**2 - 2\/3*i**3 - i. What is the second derivative of d(o) wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 52 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 26*g**2 + 1827*g - 3237. What is c(-72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c*c\/c**(-3\/13)*c)*c*c*c*(c\/(c\/c**(13\/2)))\/c*c*c)**(1\/12) assuming c is positive.\nAnswer: c**(215\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yy when two letters picked without replacement from yokoxoooxsoy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 959169240 divided by -5\nAnswer: -191833848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c**2 + 6*c - 5. Let j be h(-7). What is the lowest common multiple of 18 and j - (-2 + (-1 - 0)*-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bbbttbtbtktbbt. What is prob of sequence ttb?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the second derivative of 7*g**3\/3 + 119*g**2\/2 - 3*g + 32. Differentiate y(b) with respect to b.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 39*a**2. Let l(v) = 196*v**2 - 13*v - 65. Let q(d) = -l(d) + 5*z(d). What is q(17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 33 + 613 + 194 = -84*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -22, 32, 2, -3, -1, -4 in decreasing order.\nAnswer: 32, 2, -1, -3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 2\/5, 2\/17, 7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 2351184481 to the power of 1\/2, to the nearest integer?\nAnswer: 48489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*o - 8*o + 3*o - 6*o.\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 537 minutes before 4:19 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Does 142 divide 21481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -756752 + -2?\nAnswer: -756754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in -0.046, -0.11, -888, 3\/4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/23704 and -133\/53334.\nAnswer: 213336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4 (b) -870 (c) 25\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 1111, 1115, 1119, 1123, 1127, 1131?\n\"Answer: 4*o + 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -76\/57735 and 51\/5132.\nAnswer: 230940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -82657209.2438 + 0.1.\nAnswer: -82657209.1438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 3*w - 9. Let s be j(6). Let y be (-2)\/s - (-85)\/180. Which is the closest to y? (a) 0.1 (b) -3\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -361? (a) -1\/3 (b) 0 (c) 2\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:46 AM and 8:56 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that -2*n**3 + 434*n**2 - 432*n = 0.\nAnswer: 0, 1, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the first derivative of -j**6\/3 - 80*j**5 - j**2 + 66*j - 440. Find the second derivative of q(b) wrt b.\nAnswer: -40*b**3 - 4800*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1799088 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -2 + -2 - (-4 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 4*j**2 - j. Let w be z(-1). Suppose q + 5*f = 35, -14 = w*q + 5*f - 89. Let x = -3 - -7. Solve 2 - q = x*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 175 is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 346, 349, 356, 367, 382, 401, 424?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the second derivative of -d**3\/6 + d**2\/2 - 2*d. Let k(a) = -3*a**2 + 15*a + 1. Let p be k(5). Let x(m) = -8*m + 5. Determine p*x(n) - 6*s(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 0*c - 26 + 17 - 8 + c**2 - 2*c. Suppose 5*o - 5*p = -3*p - 27, -4*o = 5*p + 15. What is the smallest common multiple of s(o) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1100 - -1201022211101?\nAnswer: 1201022212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -217\/13 + 137335\/8229. Let m = p + -1240\/8229. Let f = 1022 + -1023. Put m, -2\/5, f, 0.2 in increasing order.\nAnswer: f, -2\/5, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 66 = 2*v + 2*q, 5*v - 2*q + 177 = 0. Let a be ((-20)\/v)\/(-3 - -5). Find b such that 4\/7*b**2 + 0 + 6\/7*b**3 - a*b = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mttm when four letters picked without replacement from {m: 7, t: 5}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 297103, 297104, 297095, 297070, 297023, 296948, 296839, 296690?\nAnswer: 296495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 32168*o - 2830573. Determine l(88).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1793 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 0.3*0.6837524\nAnswer: 0.20512572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1113800 and 43100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m\/(m\/(m*m*m*m**5*m)))\/m)\/m**(1\/8))\/(m**(-2\/31)*m\/(m*m**(2\/21)\/m)) assuming m is positive.\nAnswer: m**(36637\/5208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 8*b - 2. Let w be k(-3). Suppose 0 = -2*z - 118 + 44. Let r = w - z. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*749115.\nAnswer: -2996460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2264.041 - 2264. Which is the closest to -0.2? (a) o (b) 2\/3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 3 q when four letters picked without replacement from {q: 12, v: 1, s: 7}.\nAnswer: 308\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 9*j - 68. Give y(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2\/47185 - -990889\/94370. Let w(z) be the first derivative of 0*z + 46 - j*z**2. Give w(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hr when two letters picked without replacement from rhhh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 19665, 19629, 19607, 19605, 19629, 19685, 19779?\n\"Answer: i**3 + i**2 - 46*i + 19709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let 2*n**3\/15 - 5552*n**2\/3 + 10913938*n\/15 + 2188340\/3 = 0. Calculate n.\nAnswer: -1, 406, 13475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -386*c*v**4 - c*v**2 - 584*c*v + 2*c + 795*v**4 + 6*v**2 + 5 wrt v?\nAnswer: -9264*c*v + 19080*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -18463 + 18563. Calculate the least common multiple of z and 16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 48678225 by -6.\nAnswer: -16226075\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(55)\/sqrt(5) + sqrt(44)\/(sqrt(28)\/sqrt(7)) + (sqrt(198)\/sqrt(24))\/((sqrt(12) + sqrt(48)\/sqrt(4) + sqrt(12) + sqrt(12))\/sqrt(4) + sqrt(3)).\nAnswer: -1 + 21*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -6.3 + 5.9. Which is the second smallest value? (a) y (b) 3\/4 (c) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(112) + (sqrt(112) - (sqrt(112) + sqrt(112)*-2 + sqrt(112) - sqrt(112)))))\/((sqrt(400) + (1*sqrt(400) - sqrt(400)))*-1).\nAnswer: 9*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 84 - 84.119. Let l = a + -0.425. What is l rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 37 = 2*q - 0*j, -4*q + j = -19. Let w(n) = -n - 4. Give w(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -45 - 1?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 160216262 in -5, -1\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 856998 and 29442.\nAnswer: 4205289186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2 - -3. Let j = -0.05 + 0.45. Let d = 0.3 - j. Which is the smallest value? (a) -3 (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = 5*y + 2*j - 28, -4*j + 9 = y. Suppose 3*s - 2 = y*t, 3*s - 4*s - 4*t + 12 = 0. Which is smaller: 14\/5 or s?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2353\/9 - -261. Let b = -7.9 + 8. Let h = 0.3 + b. Sort h, -0.1, p in descending order.\nAnswer: h, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 264741?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 92.49416 milliseconds in nanoseconds?\nAnswer: 92494160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8892660 and 2940.\nAnswer: 62248620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 506213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Total of -4350556709 and 13.8.\nAnswer: -4350556695.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(4500)*1 - sqrt(4500))\/(((sqrt(432) + sqrt(432)*1 - sqrt(432))\/sqrt(8))\/sqrt(6)).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -4*p**3 + 14*p**2 - 10*p + 9. Let y be j(3). Suppose 2*v + 5 = -3*i + 2*i, -i + 1 = -4*v. What is the third smallest value in v, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 14 - 8. Let a = -6 - -8. Let g(r) = -r**a - 4*r**2 + 9*r**2 + 6. Let x(u) = -5*u**2 - 7. Determine y*x(h) + 7*g(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 - 11 = -5*h. Suppose -2*y = -h*z - 115, -2*y - 43 = 2*z - 11. Let c(f) = -f**2 - 26*f + 14. What are the prime factors of c(z)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2301374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -7*h + 5. Is 16 a factor of c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51959331?\nAnswer: 3, 5773259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.10312007 rounded to four decimal places?\nAnswer: 0.1031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 127105 is divided by 190.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -306 + 336. What is the least common multiple of f and (130\/(-4) - -4)*-2?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + 28 - 10 = -2*k, 4*k + 12 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -2*k - 11. Let y be u(-7). Suppose 6*o = y*o - 12. What are the prime factors of (-87)\/(-4) - o\/16?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s = 2*q + 20, 0 = 49*q - 51*q - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 14 and 748034.\nAnswer: 748034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 310 minutes before 11:35 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 50522236 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/28*44\/11.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -20*c - 7. Let g = -116 + 173. Suppose -h + 39 = 4*z, 3*z - z = h - g. What is the remainder when h is divided by r(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1506579*x**5 + 201*x**2 + 456.\nAnswer: -90394740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -3, -4, -5?\n\"Answer: -r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i**3 - 30*i**2 + 63*i - 134. Give u(-32).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 42701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -17*h - 3446 + 1689 + h**3 - 18*h**2 + 1712. Calculate o(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5744?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 4*r = -3*j + 40, -2*r - 20 = -3*j. Let t = j - 11. List the prime factors of (6\/18)\/(t\/(-21)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2788)\/476 + (-12)\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 21769, 43407, 65035, 86647, 108237?\n\"Answer: -i**3 + i**2 + 21642*i + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1.329267 centuries in millennia?\nAnswer: 0.1329267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 8940869 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the first derivative of 14\/3*p**3 + 12*p + 6*p**2 + 2. Let d(k) = k**2 + 1 + 3*k - 2*k + 0*k. Calculate -12*d(j) + u(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**2 - 4*a. Suppose 4*l - l = 15. Suppose 1 + 24 = l*g. Let b be d(g). Solve 2*i - 3*i + b = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11772 - -11813. Is t < 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -10\/1339 and 22\/9?\nAnswer: 12051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*1064\/2464*-22.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -509 + 505. Let w(o) = -2*o**3 - 7*o**2 + o - 5. Let u(n) = n**3 + 4*n**2 - n + 3. Determine y*w(j) - 7*u(j).\nAnswer: j**3 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9 - 8 + 27 + 991*f - 12 + 1501*f.\nAnswer: 2492*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 7981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 159.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 33469 + 8110. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from ykecvlk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(-2*sqrt(13) + 0))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cbcc. Give prob of picking 4 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 2182*l**3 - 5207*l**3 - 3771*l**3 + (0 + 4 - 2)*(-5*l**3 + 0*l**3 + 4*l**3) + l**3 + 0*l**2 + 0*l**2 - 5*l**3 + 3*l**3 + l**3.\nAnswer: -6798*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -53\/72 and -41\/600.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 538 minutes after 8:52 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -44296, -88559, -132822, -177085?\n\"Answer: -44263*r - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -1. Let t(h) = h - 6. Let a(l) = 6*o(l) - t(l). Let n(k) = 7*k**2. What is n(a(u))?\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 117111?\nAnswer: 3, 103, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = w**3 - 13*w**2 + 14*w - 6. Let c be a(12). What is the common denominator of -3 + ((-6)\/15 - 39\/c) and -53\/54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Evaluate 22\/28 - 98\/(-196) - (-117)\/(-91).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 16421859?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = -2*l + 34. Solve k + x + l = 0, -k = -2*k - 5*x - 22 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4 + -8. Let v(b) = -3 - 6*b + 4*b + 1 + b. What are the prime factors of v(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 608, 3\/4, 2.29.\nAnswer: 3\/4, 2.29, 608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 + a099173?\nAnswer: a099173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p. Let t be 16\/4 - (1 - 3). Let a(z) = -z + 11. Calculate the lowest common multiple of v(t) and a(0).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 319011587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*z - 35 = -4*f + 21, f - 4*z - 14 = 0. Solve -w = 2*m + 16, 10*w = f*w + 5*m + 46 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -8*h + 4. Give r(19).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 113*z**2 - 36*z - 87. Is i(38) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -145*t**5 + 8*t**2 - t**4 + 7*t**2 + 44*t**2 + 8*t**2 wrt t.\nAnswer: -8700*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(1 + sqrt(13)))**2*3.\nAnswer: 96*sqrt(13) + 672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -3*o + 5. Let k(r) = -2*r - 2*r + o*r - 2*r. Let n(w) be the second derivative of -5*w**3\/6 + 1613*w. Determine n(k(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6 and 640?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**3 - 15*w**2 + 16*w - 9. Let l(m) = -4*m + 1. Let a(f) = -f - 1. Let s(v) = -3*a(v) + l(v). Let g be s(-10). Is x(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/2, -2\/25, -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5157 - 5140.82. What is c rounded to one dp?\nAnswer: 16.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) be the third derivative of -k**5\/30 - 81*k**2 - k. Let y(t) = -7*t - 15. Determine y(x(h)).\nAnswer: 14*h**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -j**3 - 11*j**2 - 7*j - 8. Let q be t(-8). Let n = -76 - q. Differentiate -n + 0*i**2 - i**2 + 71 wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(1 + 2 + sqrt(1008)))**2.\nAnswer: 648*sqrt(7) + 9153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7.803 + -7.811122. What is h rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 37 - 33 - 146431*t**2 + 73228*t**2 + 73206*t**2.\nAnswer: 3*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 587372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -93\/740 and (354\/531*(-3)\/24)\/((-148)\/(-27)).\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42 minutes before 7:05 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(((-81)\/(-72))\/9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -150, -303, -456, -603, -738, -855?\nAnswer: -948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 2*n**2 + 163 + 0 + 2*n - 22 as r*n**2 + v*n + w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 55730?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*b - b - 5*b)*(-1 - 2 + 2)*(-3 - 13 + 6 + (1 - 1 - 1)*(-3 + 0 + 2)).\nAnswer: 45*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12 + 2 - (9 + -3)) + (-1 - -1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*i**2 + 6*i**2 - 2*i**2 - 2*i**4)*(-1499 + 735 - 1349)*(3 - 1 + 0) to the form l*i + u*i**3 + w*i**4 + o*i**2 + m and give w.\nAnswer: 8452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2472884 + -2472563.0571. Let n = -422 - -743. Let p = n - s. Round p to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 351206*g - 67768.\nAnswer: 351206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-20)\/8*120\/(-25). Calculate the remainder when 33 is divided by 117\/k - 39\/52.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**2*u)**43)**(-2\/55)*(u\/u**1)**(3\/22)*(u\/(u\/(u\/(u*u**(-1)))))\/u**0 assuming u is positive.\nAnswer: u**(-203\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 48231118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8\/19? (a) -0.5 (b) -5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 33 + -6 + (-20 - 35)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 3 (b) 4.3 (c) 9.4 (d) -0.1 (e) 4 (f) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 5*g - 26 = 0, -11 = -6*r + 2*r - 3*g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-1 - -10 - -1) + -4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -95584 * -77\nAnswer: 7359968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(56) + sqrt(56) + sqrt(56) + (sqrt(280)*4 + sqrt(280))\/sqrt(5) - sqrt(56))\/sqrt(8).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-216)\/2997*12\/16?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s - 3. Let i(n) = -1. Let v(m) = c(m) + i(m). Let o be v(-6). Is (38\/o)\/((-1)\/(-2)) 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 {x: 2, f: 2, l: 4, m: 3, r: 1}. Give prob of picking 1 x and 1 l.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -787, -790, -793?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10904*w**2 + 5449*w**2 + 5457*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n + 5*n = -20. Let g = -398.7 + 399. What is the closest to 0 in g, n, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 54*d = -138 - 78 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 24 = -3. Let a(t) = t**2 - 4*t - 8. What is the remainder when 38 is divided by a(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -606 + 1297. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (1 - 2) + -4 + -2 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3024 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-62 + r - 59 + 37)*(-3*r**2 + 7*r**2 + r**2).\nAnswer: 5*r**3 - 420*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 10 = 8. Let j = 1655\/8 + -857\/4. What is the common denominator of j and (-79)\/a + 2\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10801.\nAnswer: 7, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:27 PM and 3:21 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = o**3 + 9*o**2 - o - 2. Let a be s(-9). Let f = a + -11. Let d = -2 - f. Solve i - 3*w + 12 = 0, 0 = -d*i - i - 2*w + 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 242*w + 3. Let b be s(2). Suppose -b = -0*x - x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 951971?\nAnswer: 311, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sum 36 and 1395674413.0427.\nAnswer: 1395674449.0427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that -2*q**3 + 419076*q**2 + 3771866*q - 4190940 = 0.\nAnswer: -10, 1, 209547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -1. Let i(y) be the second derivative of -y**3\/3 + 3*y**2\/2 - y. Let k(j) = 3*d(j) + i(j). What is k(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = 4*b - 4232, -5*d - 1239 = 4*b + 2969. Let o = d + 907. Put -1, o, 0 in increasing order.\nAnswer: -1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:21 PM and 6:57 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hzgi when four letters picked without replacement from gghbigizzziii.\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -390 - -438. Suppose -2*a = -3*l - g - 8, -3*l - 118 = -4*a. Calculate the remainder when a is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13701 is divided by 1551?\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 25769.07 minutes?\nAnswer: 1546144.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(350)*5 + sqrt(14))\/((sqrt(2) + (sqrt(2) - 2*sqrt(2)))*6 - sqrt(2)).\nAnswer: -26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -4*g + 3*b - 13560006, 4*g + 54240006 = 3*b. Round g to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (455\/2548*6\/(-5))\/(30\/(-16))?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(204) - 2*(sqrt(204)*-2 - sqrt(204)))\/(sqrt(48)*6).\nAnswer: 7*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -14a4a - 8?\nAnswer: -14a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i be -3*1\/(1\/(-1)). Let q(x) = 11*x**2 + 14*x + 6. Let j be (-2)\/(2\/7) - 1. Let d(p) = 0 + 4*p**2 + 3 + 5*p - 1. What is i*q(k) + j*d(k)?\nAnswer: k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v**0*v))**(-43))**(-39\/2)*((v**(1\/4)*v*v)**(-2\/13))**(-15) assuming v is positive.\nAnswer: v**(135\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1 + 3. Let k(a) = 2*a + 1. Let n be k(4). Suppose -5*z + 99 = n. Calculate the highest common factor of z and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15 divided by -409.\nAnswer: -15\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13995 is divided by 6981.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Do 1\/4 and -16126 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor o**2\/9 - 69547*o\/9 - 69556.\nAnswer: (o - 69556)*(o + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 103\/8 - 673\/56. What is the second smallest value in 1, q, 2\/5, 9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2\/6)\/(1\/12). Let y be ((-2)\/c)\/((-5)\/40). What is the remainder when 9 is divided by y*1*42\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*i = -27663 + 26063 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -t**2 - 8*t + 3. Let l be n(-9). Let p(s) = s**2 + 5*s - 3. Let f be p(l). Let a be (-2)\/(-3)*f\/(-5). Is -3 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 115463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*sqrt(66)\/sqrt(6) - (sqrt(66)\/sqrt(150) + sqrt(11)).\nAnswer: -21*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 73508478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/(-2))\/((-5)\/45*-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -8762*k - 2*x - 7 = -8765*k, k - 24 = -3*k - x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 114990.3 millimeters to centimeters.\nAnswer: 11499.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put together -60.0422 and 0.0462005.\nAnswer: -59.9959995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 219*l + 156 = 245*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(1\/3)\/(s*s**(1\/3))*s*s**(-3\/4)*s*s*s*s*s*(s**(1\/8)*s)\/s)**(-1) assuming s is positive.\nAnswer: s**(-35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -45\/188 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) 10 (c) 29 (d) 3\/7 (e) -0.1 (f) -93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -75*a**3 - 204*a**2 + 5*a - 5. Let i(y) = 38*y**3 + 102*y**2 - 3*y + 3. Let h(m) = -3*c(m) - 5*i(m). What is the third derivative of h(r) wrt r?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 36.80463 + -0.03463. What is h rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 + 4. Let g be h\/(-1) + 4 + -2. Let v be (-9)\/1*(-22)\/g. Round v to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-12 + 13)*10\/2. Solve -3*f + 4*p = -4*f + 19, -5*f + n*p = 30 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/(-1 - (-9)\/12). Let r(c) = c**3 + 9*c**2 + 12*c - 6. Let w be r(-7). Let y = w + o. Solve -y = -h + 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -h**2 - 7*h + 2. Let c be v(-7). Suppose -c = -5*r + 13. Suppose -5*l = r*l + 24. What is the smallest value in 0.1, -2\/5, l, 7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -159*s = -158*s - 32. Suppose -3*y + s = -5*m - 159, -4*y - 4*m = -212. Suppose 0*j - 76 = -2*j. What is the highest common factor of j and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mqvq when four letters picked without replacement from vqvqmvmqqvqqnqqqqqq.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 29974.05 litres?\nAnswer: 29974050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 413 divided by -5?\nAnswer: -413\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 61 = -7*p - k, -p = k - 13. Let y = -1 + p. Calculate the highest common factor of 88 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5092 + 5092 + 1857*j to v*j + n and give v.\nAnswer: 1857","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 4 = 0, 3*j - 5 - 8 = 5*t. Let x = t + 5. Solve 0 = -x*y - 3, 2*h + 5 = 3*y + 2*y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4*(45\/(-81))\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 5112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aaaaaaaf. What is prob of picking 4 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 1, v: 3, n: 2, i: 5, k: 1}. What is prob of picking 1 i, 1 k, 1 t, and 1 n?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, 0.3, 50?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-1)\/2)\/((-2)\/56). Let i be (6\/(-10) - 38\/(-30))*3. Calculate the greatest common factor of r and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 743075401.\nAnswer: 7297, 101833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 4*t - 4*t + 3*t + 8 + 10*t. Let i be k(7). What is the highest common factor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -203 - -210. What is the smallest common multiple of c and 150?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 + 2)*(-2*u + 4 - 4).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.4 from -78063850.15825.\nAnswer: -78063850.55825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(117)*-1*-2*1 - (0 + sqrt(117)*-1 + sqrt(117))*4*-5)**2*-3.\nAnswer: -1404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -470*p**3 + 0*p**2 + 3000*p**3 - 5*p**2.\nAnswer: 2530*p**3 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 0.21 (c) -6 (d) -2\/15 (e) -0.238 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.5886457464 to three decimal places.\nAnswer: 0.589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -201 - -111?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 229 + -202 + -37 + 0 + -1 + 3 + 123?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*i**3*r + 17292272*i*r*w - 13371*r*w - 5186*w with respect to i.\nAnswer: 6*i**2*r + 17292272*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 4586546 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1.21 - 0.01. Let k = s - 1.19. Let f = k + 0.09. Which is bigger: -7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 106 and 4.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is ((-82)\/18 - 7\/(-21)) + 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -1674131 * 0.04\nAnswer: -66965.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 196*z = 56*z + 51*z + 1958 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -421\/72 - -45\/8. What is the nearest to b in 0, -0.3, -1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c**2 - 2*c**3 + 45 - 45)*(5*c - 2*c + c)*(5*c + 11*c + 0*c).\nAnswer: -128*c**5 - 64*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 56 and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*n + 6*n = -10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 2*w**2 + 10877*w - 273133. Determine r(25).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -15.545 to 1 decimal place.\nAnswer: -15.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u - 6 = 2*u - 2*n, 0 = -2*n + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -1112*y**2 - 1116*y**2 - 479*y + 2227*y**2 as w*y + u*y**2 + c and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 172 = 4*l, -4 = -4*l + 2*f + 176. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1151513 - 122?\nAnswer: 1151351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 38\/(-8) - (2871\/(-132) - -21).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 1 - 9*t**4 + (t**4 + 2*t**4 - 4*t**4)*(1 + 0 + 0).\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1 + 0.9. Let h be 3\/4 - 114\/24. Sort 4, h, m in ascending order.\nAnswer: h, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 3975*q. Let c(z) = 5*z**2. Determine c(a(x)).\nAnswer: 79003125*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:13 AM and 11:22 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = p**3 - 15*p**2 + 13*p + 12. Calculate q(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.02395 and -8295.\nAnswer: 198.66525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-2)\/(-5))\/2)\/(92\/23920)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -216 + 0.1505046.\nAnswer: -215.8494954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 5 (b) 4\/2779 (c) -0.2 (d) 5\/141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, 52\/9, -0.5 in decreasing order.\nAnswer: 52\/9, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 705124 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*n + 3*q - 12, -5*n + 8*n - q + 4 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*q = 45 + 7. Let c(v) be the second derivative of -q*v**2 + v - 1\/6*v**3 + 0. Calculate c(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 394596 and 20.\nAnswer: 1972980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19 - 11 - 20 + 3299*v + 67 - 16.\nAnswer: 3299*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -0.16691, 1, 0, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 60 + 60. What is the remainder when o is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -8720*h**2. Let y(o) = 245*o**2. Give k(y(d)).\nAnswer: -523418000*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 42*j*o**3 + 8*j + 65*o**3 - 1 wrt j.\nAnswer: 42*o**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 61*j**2 + 49*j**2 - 111*j**2. Let w(d) = 59*d**2. Calculate w(f(u)).\nAnswer: 59*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*f**4 + 88384*f**3 + 1149668*f**2.\nAnswer: -4*f**2*(f - 22109)*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a**3 + 20*a**2 - 45*a - 5. Let k be w(-22). Solve -2*o + 6*o = d - k, -d = o - 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -304 - 947*v**2 + 304.\nAnswer: -947*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 57201 divided by 57201?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (2816\/6)\/4 - (-16)\/24.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + sqrt(1377) + 2 + sqrt(1377)*-1*-5)*-2)**2.\nAnswer: 1728*sqrt(17) + 198352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 145601 is divided by 337.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:44 PM and 5:48 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t + 12. Let l be z(12). Suppose -5*u + w = -23, 3*u + l*w - 5*w - 5 = 0. Suppose 23 + 7 = u*a. Solve 3*d - n - a = -2*n, -4*n - 9 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 381870 * 3.01.\nAnswer: 1149428.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 348, 310, 222, 60, -200, -582?\nAnswer: -1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1 + 1. Suppose b*z = -3*z. Let w be (z - (-48)\/9)*3. Solve 2*l - 7*l - i = w, -5*i = 3*l + 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1724105 and 315?\nAnswer: 108618615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.07? (a) -0.21 (b) 0.2625 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(1377)*-1.\nAnswer: -9*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11.6 - -2.4. Let r be (-284)\/(-52) - 7698\/16679. Let x = 190 + -2852\/15. Which is the closest to 0? (a) r (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from {u: 2, l: 4, t: 2, m: 11}?\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-14)\/3 - (-4)\/1. What is the third smallest value in 4, -2\/7, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1340 and 8410?\nAnswer: 1126940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find c such that -c**4\/9 - 422*c**3\/9 + 2323924*c**2\/9 - 1082249578*c\/9 - 361524641\/3 = 0.\nAnswer: -1923, -1, 751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.9 - 6.1. Let q = -7 - w. Is -4 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 245989, 246003, 246017, 246031, 246045, 246059?\n\"Answer: 14*n + 245975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2040*c + 2096*c - 59*c**3 - 4136*c - 5 + 3 + 2.\nAnswer: -59*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 201303 (base 4) to base 5.\nAnswer: 32123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gmggggggggggggmmgm. What is prob of sequence mm?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -s + f + 3 = -f, s - f - 3 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 3) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**9\/(j*j*j**(-1\/4))*(j**(1\/4))**(-22))\/(j**(-3)\/j**3)**(-41) assuming j is positive.\nAnswer: j**(-977\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11244, 22489, 33736, 44985?\nAnswer: 56236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -12*c + 105. Determine t(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 14, -22, -118, -304, -610, -1066, -1702?\n\"Answer: -5*u**3 - u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.3, 3, -664, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*x**5\/7 + 6032*x**4\/7 + 14946*x**3\/7 + 12296*x**2\/7 + 3722*x\/7 + 372\/7 = 0. Calculate x.\nAnswer: -186, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -23, -88, -195, -344, -535, -768, -1043?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 245 - 239. Let v be (-8)\/(-6) - (-4)\/6. Suppose -4*n - v = -g. Solve 0 = 2*x + r + 5, 2*x - r - n + 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v + 83. Let x be d(-9). Suppose -36*t = -34 - x. Solve t*r - 5*p - 14 = 0, 3*p - 1 = -4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 6.24, 1\/11, 4\/3, 1, 7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = 4*u - 48, -6*g + 4*g = -4*u + 26. Sort -4, 6, g, -1, -5 in ascending order.\nAnswer: g, -5, -4, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 5}. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1559, 2\/21, 4\/3, 4, -2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 315*d - 320*d = k + 29, -2*d + 2 = -3*k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 190 a factor of 1086990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -754339*k - 30927902. Calculate c(-41).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4\/3)\/(48\/324). Let k(i) = 30*i - 210. List the prime factors of k(w).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**3 + 5*f**2 + f - 1. Let y be o(5). Let h be (-5)\/(1 - (y - 2)). Are h and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-6)\/3)\/((-1)\/(-7)). Let f(t) = -6*t + 20. Let p be f(u). Round p to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -29774 (b) 7.9 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -323838 - 3.092?\nAnswer: -323841.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*g**3*y - 675*g**3 - 171*g**2*y - 3*g**2 + 2*g + 10*y wrt g.\nAnswer: 18*y - 4050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m + 4*m - 8. Let y(a) = -7*a + 3*a + 2*a + m*a + 4. Let v be y(0). Solve v*q + 5 = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.32 and -1655789.547.\nAnswer: -1655789.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-662)\/(-5627) + 0 + (-6456)\/(-34) is divided by 50?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*q = -872 - 913. Put q, -3, 3, 0 in ascending order.\nAnswer: -3, 0, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes before 8:23 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 2*x**2. Let d be 4\/6 - 4\/(-3). Let r(p) be the third derivative of 0 + 2*p**d + 0*p**3 + 0*p - 1\/12*p**4. Calculate r(j(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = -56 - -103. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -3*q - 3*q**2 - q**2 - q**3 + 0*q**3. Let h be i(-2). Is 26*(h - 10\/(-4)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -10*l**2 + 12747*l + 51011. Give g(-4).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-252)\/4*415\/(-581)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 704613 and 23229.\nAnswer: 2113839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-72)\/32 + 2\/8. Let c(a) = -a**2 + 3*a - 8. Let b be c(4). Let p = w - b. Solve 0 = -3*f + f + p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -121759823 or -487039297\/4?\nAnswer: -121759823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -5 (c) 156 (d) -3\/4 (e) 0.8 (f) 0.0099\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-7)\/((-28)\/8) - 4) + 6. Suppose 0 = 3*r + 4*r - 112. Let i be 4*(j\/(-12))\/(r\/(-9)). Sort i, 20, -3\/8 in descending order.\nAnswer: 20, i, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j**2 - 5428*j + 21648 = 0. What is j?\nAnswer: 4, 1353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3.13187854 - 387.\nAnswer: -390.13187854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = 136 + -138. Is -2 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1851028 by 8.\nAnswer: -462757\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -2, -4\/15, 49, 3?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 304014561?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 6*a = -12. Let i = 5 + a. What is the remainder when 14 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7.6 + 8. Let x = f - 0. Let l = -0.47 - -0.07. What is the second biggest value in l, -2, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2\/1 - 5) + 17. Let b(a) = -2*a + 2 - 217099*a**2 + 0*a + 108552*a**2 + 108546*a**2. Let j(k) = -4*k**2 - 7*k + 7. What is x*b(y) - 4*j(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:18 AM and 8:12 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 9062798 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -2*x**3 + 1. Let b be c(-1). Suppose -3*y + y + 43 = b*s, s + y = 15. Calculate the highest common factor of s and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -2*j - 4. Let l(o) = -110*o - 240. Let s(g) = 60*a(g) - l(g). Let x(r) = -3*r**2. Calculate x(s(t)).\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -257, -510, -763, -1016, -1269?\n\"Answer: -253*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -2633*c - 73590. What is q(-28)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 39331.31 years to decades.\nAnswer: 3933.131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s - 2. Let v(q) be the second derivative of q**3\/3 - 3*q**2\/2 - 64*q. Suppose p + 2*p = -5*u + 10, -2*u = -5*p - 4. What is u*v(c) - 3*z(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (-355 + 73 - 100)*(1 - 5 + 3)*(2*u**2 + 0*u**2 - u**2) in the form x*u + q*u**2 + m and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d - 262 + 256 = 18*z, -4*z + d = 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the first derivative of 13*y**2\/2 + 13*y + 47. Differentiate o(g) wrt g.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u + 1 - 41. Suppose -h - 4 = u. Calculate the lowest common multiple of 8 and -5 - (h + (-1 - 4)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 786 - 783. Suppose 8*s + 4*z = 3*s + 5, -c*z + 21 = -2*s. Suppose -6 = -0*l - 2*l. Sort l, -4, 1, s in decreasing order.\nAnswer: l, 1, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that -2*h**3\/5 + 2946*h**2\/5 - 216678*h - 1086338\/5 = 0.\nAnswer: -1, 737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 116 a factor of 29058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 69308 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/(-36) - 7\/(-6))\/((-2)\/18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1612 - ded1?\nAnswer: -f4e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0 - -5. Let b be (-8)\/(-12) - (-10)\/3. Suppose -d - 17 = -b*d + 2*x, -3*x - 29 = -r*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -222953927 or -222953922?\nAnswer: -222953927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + -3 - 5 - (-1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o**2 + 46*o + 54. Give k(-45).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 92*z**3\/3 - 955864*z**2\/3 + 2482732060*z\/3 + 431808400\/3 = 0. What is z?\nAnswer: -4\/23, 5195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -2\/11, 202\/3 in decreasing order.\nAnswer: 202\/3, 1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4110313\/210 - -19573. Calculate the common denominator of -145\/12 and b.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -16695596 by -4173899.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 35195 - 35196. What is the nearest to i in -0.2, 1, 4\/9, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*y + 214*y**2 - 304*y**2 + 2*y.\nAnswer: -90*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 103464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6*(-174)\/48*(-128)\/96.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the third derivative of -652*o**5\/15 + 1114*o**3\/3 - 90*o**2 + 9*o. Differentiate d(b) with respect to b.\nAnswer: -5216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:00 AM and 3:22 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -0.4, 10\/17, -5, 11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.08600005 + -0.086. Round n to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.675 - 37.17\nAnswer: -36.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4.075*507.\nAnswer: -2066.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -233487, -1867928, -6304273, -14943474, -29186483, -50434252?\nAnswer: -80087733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -2*t**3 + t**2 - 6. What is o(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -807*h**2. Let z(k) = -k**2. What is z(c(g))?\nAnswer: -651249*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -82\/105 and 107\/40.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2.8 + -3. Let o = -279 + 570. Let p = 290.97 - o. Which is the closest to 1\/2? (a) p (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24 - (11 - (-8 + 0 + 12))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -5*h - 5. Suppose 18 = -c - 2*c + l, -3*l = c + 6. Let u be f(c). Solve w = -4*w + u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*x + 183*x - 303049 = 4108069. List the prime factors of x.\nAnswer: 26573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 56*r**2 - 30*r**2 - 31*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -15.07076 rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the first derivative of l**4\/28 - 2*l**2\/7 + 2. Let g(k) = 0. Calculate k.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 + 5)\/(4\/(-12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.9994 - -2. What is l rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (5\/10)\/(1\/4). Let 3 - 5 - 2*o**2 + o - 3*o - n*o = 0. Calculate o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 10 and 10516?\nAnswer: 52580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the second derivative of -a**3\/6 + a**2\/2 - 510*a. Let d(z) be the second derivative of -z**2\/2 - z. Determine 4*d(c) + w(c).\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d**3 - 46*d**2 - 134*d - 5. Calculate o(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -44.4 - 1.6. Let s = 32.543 + 13.42. Let u = d + s. What is u rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -4*x + 104. Let b be t(27). List the prime factors of (2 + (-2 - b))*(-4431)\/(-42).\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -295*d**3 - 21*d**5 + 12*d**5 + d + 15*d + 11*d**5 + 9 wrt d?\nAnswer: 40*d**3 - 1770*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10237 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -198 greater than -199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -5 (base 7) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -78 + 115. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1873*q - 16*q**2 + 10*q**2 + 11*q**2.\nAnswer: 5*q**2 + 1873*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2548522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7635 and 549211.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*c - 615*c**2 - 185*c**2 + 0*c.\nAnswer: -800*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -30 - 7 - 5*u + 22 - 45*u**2 + 15 to o*u**2 + n*u + y and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 253 - 540548?\nAnswer: -540285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-34 + 87 - 12) + -16?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5488 divided by 784.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45*l + 586*l + 411*l + 1208*l.\nAnswer: 2250*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -77 + -117755?\nAnswer: -117843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 8, 2, 6, 26, 68, 138, 242?\n\"Answer: u**3 - u**2 - 10*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1567*k + 10 = 1571*k - 2*l, 0 = -2*k + 2*l + 12. Let o = 506 - 325. Put k, 4, o in decreasing order.\nAnswer: o, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*w**3 - 915*w**2 - 2766*w - 1848 = 0. Calculate w.\nAnswer: -2, -1, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 - 899.\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 2, u: 1, h: 2, b: 2, e: 1}. What is prob of sequence hhb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1209.1 or -3.34?\nAnswer: -3.34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*p - 13*p = 14*p - 72 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = a**3 - a**2 - a + 3241. Let g be n(0). Let p = 356 + -4897. Let v = p + g. Round v to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 44262 is divided by 74.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.3, 1\/2, 2\/109, 5\/14, -2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from {r: 4, l: 2, u: 1}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 648 and 8722638?\nAnswer: 314014968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*u - 12 = -32*u. Suppose u*l - 3 = 2*l. Calculate the lowest common multiple of l and 6\/(-21) - 36\/(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1821300 to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-345)\/1012 - (3\/(-11))\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the third derivative of -f**6\/270 + f**4\/72 - f**3\/54 + 118*f**2. Factor g(q).\nAnswer: -(q + 1)*(2*q - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -35, -56, -79, -104, -131, -160, -191?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.06191 to three decimal places.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1336 - 2?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/78)\/(94\/(-141)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*y = 59 + 101 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*k - 2*k + k)*(3 - 3 - 3)*(-2 + 3 + 2).\nAnswer: 54*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -m**2. Let n(f) = 910691299*f. Calculate n(q(y)).\nAnswer: -910691299*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -57.27492 * -0.12\nAnswer: 6.8729904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3 + -8. Let x(j) be the second derivative of 2*j**3\/3 + 5*j**2\/2 + 4*j. Let m(s) = -7*s - 9. Calculate g*x(a) - 3*m(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15 divided by 1203.\nAnswer: -5\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -169355*a**2*s**3 - 11*a**2*s**2 + a*s**2 - 2*s**3 + 542331*s - 4 wrt a.\nAnswer: -338710*s**3 - 22*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2156 and 2893?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 17.9 + -18.9. What is the closest to 5\/4 in 5\/2, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 355 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 2 - 3)*(2 - 3*n**2 + 2 - 5).\nAnswer: -15*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1 - -1e?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-1\/4))**28*f\/(f*f\/((f\/(f*(f\/f**(-6))\/f))\/f))*f\/((f*f**(-1\/5))\/f*f*f) assuming f is positive.\nAnswer: f**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 661 minutes before 3:03 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1 - 1*3\/(-3))*1. Suppose -2*n - 2*l = -b*l - 2, 2*l = 5*n - 26. What is the units digit of (-3)\/((-15)\/118) - n\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(1 + -2*(5*(sqrt(80) + (sqrt(80) - (sqrt(80) + 1) - sqrt(80)) - sqrt(80) - sqrt(80))*5 - (3 + -3*(-1*sqrt(80) + sqrt(80))))*5))**2.\nAnswer: 40464000*sqrt(5) + 722842596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 3\/2*o**3 + 147\/2*o**2 + 0*o = 0. Calculate o.\nAnswer: 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w**(-2\/23)*w*w*w*w)\/w**(1\/5))\/(w**(2\/5)*w**(-1\/6)) assuming w is positive.\nAnswer: w**(3091\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the first derivative of 0*x**2 - 139\/3*x**3 + 0*x**5 + 0*x**4 + 116 - 1\/2*x**6 - 27\/7*x**7 + 0*x. Find the third derivative of r(l) wrt l.\nAnswer: -3240*l**3 - 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 4*z**2 + 7*z - 6. Let m(v) = -8*v**2 - 13*v + 11. Give -11*b(w) - 6*m(w).\nAnswer: 4*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v**3 - 7*v**2 + 7*v - 4. Let c be n(-8). Suppose -6*g = -g. Solve -c*d - 11 = -x, x - 5 + g = d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4.83*301353.\nAnswer: 1455534.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that -2*d**4 - 14*d**3 - 16*d**2 + 56*d + 96 = 0.\nAnswer: -4, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 11*p - 37 + 24 + 13 + 4*p**3 + 5*p - p**2 in the form b*p + t*p**3 + n*p**2 + u and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -1374*w + 68190 = 15466 - 68188 for w.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*i + 28*i - 26 = 0. Factor 9*p - 37*p**3 - 20*p**4 - 14*p - 3*p**3 + 0*p**4 - 25*p**i.\nAnswer: -5*p*(p + 1)*(2*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 3, i: 11}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -h + 4, -5*u = 2*h - 8. Suppose -2 = u*w - 4*w. Let o(z) = -z**3 - z + 1. Give o(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 62588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 12, 85, 0, 1 in descending order.\nAnswer: 85, 12, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 4*u + 40. Let s = u + 19. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 6 (b) -2\/5 (c) 4 (d) -1262\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwaaaaawaaaawwaaaa. What is prob of picking 2 w?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the third derivative of z**5\/60 + 13*z**4\/24 - 7*z**3\/3 - 5822*z**2. Determine y(-6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 138 + 30 + -90 + 36 + 40.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f + 4 = 0, 3*f + 1 + 4 = 4*z + 6*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 207 a factor of 60030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -40? (a) -9 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*u - 75 = 9 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -15*g**3 + 5*g - 11. Let s(u) = -4*u**3 + u - 3. Suppose -39 = 3*j - 3*q, -51 = -147*j + 152*j - 3*q. Calculate j*l(k) + 22*s(k).\nAnswer: 2*k**3 - 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v**(2\/9)\/v)*v\/((v*v**(-4\/3))\/v))\/((v\/v**(-8))\/v*v*(v*v\/((v\/(v\/((v**3\/v)\/v))*v)\/v)*v)\/v) assuming v is positive.\nAnswer: v**(-53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -4 (b) 5 (c) 3\/7 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -8 + 3.2. Suppose -7*c + 3*c - 3*z = 5116, -4*z = 0. Let h = -1280 - c. Put -4, h, x in descending order.\nAnswer: h, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (17\/(340\/(-70)))\/(-42)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*i + 54*i + 292*i + 10784 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2684?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence df when two letters picked without replacement from {d: 1, f: 1, o: 4, b: 4}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**3 - 10*a**2 - 14. Let h be p(-10). Let k be 56\/98 + (-104)\/h. Suppose 0 = k*u - 9*u. Sort -3, u, -4 in descending order.\nAnswer: u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 1214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -3*w + 12, -4*d + 18 = 3*w - 1. Suppose 2*b - 3*b = -5*f - 2170, 0 = w*b + f - 10772. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1201220 + 14?\nAnswer: 1201234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 335 divided by -111149\nAnswer: -335\/111149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -290.622 to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 8*q**6 - 13*q**5 - 5*q**3 - 7130*q**2.\nAnswer: 960*q**3 - 780*q**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a. Let n be c(11). Let f = -75 + 63. Which is bigger: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.05755 rounded to 3 dps?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**2 + 2*q. Let v be (12\/4)\/(-1) - -1. Let r be f(v). Solve 0*w + w + 4 = r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (1 - 0)*(114 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 36.3 - 36. Let f = -0.6 + 0.7. Let r = 2.1 - f. Put -5, y, r in decreasing order.\nAnswer: r, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-42)\/(-28)*(-3)\/((-45)\/(-8)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 204227.\nAnswer: 331, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -3 + 180*s**2 + 3 - 51*s**2. Let w(p) = -131*p - 8. Let d(h) = -33*h - 2. Let n(g) = -4*d(g) + w(g). What is q(n(v))?\nAnswer: 129*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(2\/5)\/v)\/v)**4\/((v*v**(1\/3)\/v)\/v)**0 assuming v is positive.\nAnswer: v**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6379408 seconds in nanoseconds?\nAnswer: 637940800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -28\/253 or -1?\nAnswer: -28\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 462062.68 * 5\nAnswer: 2310313.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (((-3528)\/63)\/(-14))\/(-22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 21*y - 8. Let r(i) = -22*i + 9. Give -7*l(v) - 6*r(v).\nAnswer: -15*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (-50 + 95 + 363 + 365)*(4*w**4 + 42*w - 42*w) in the form a*w**4 + j*w**2 + l*w**3 + o + k*w and give a.\nAnswer: 3092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = 7*z - 2*z. Suppose z*c = c + 185. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-18)\/8)\/(3\/2). Let o = -8 - -15. Suppose 2*t + 9 = 3*m, 0*t - t - o = -4*m. Is p at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-5*2)\/(1 - 2). Let z = r + -7. Suppose 0 = -d + z + 2. Solve -d*b + 1 = 3*o, -2*o = 2*b + b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**10*(k\/(k\/(k*k**6)))\/k)**(-50)\/((k**3)**(-1\/12))**(-5) assuming k is positive.\nAnswer: k**(-3205\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -2*f**2 + 30*f + 19. Let g(m) = -2*m - 1. Let k(v) = -g(v) - j(v). Calculate k(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f - 9 = 3*f. Let v be 1\/3 - (-204)\/36. Let j(i) = -i**3 + 6*i**2 - i + 8. Let c be j(v). Solve -c*y = f*g - 3*y + 11, -y + 5 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -108, -109, -110, -111, -112, -113?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 370049621\/702 + -527136. Calculate the common denominator of 101\/30 and c.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 159702589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 23 - 31 - (3 - (15 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 427849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 5 - 6*s)*(-927 + s + 493 + 491).\nAnswer: -6*s**2 - 342*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2b - 92aa71?\nAnswer: -92aa9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -74\/117 and 52\/2699415?\nAnswer: 35092395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 176 - 175 - (-1 - -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -2*j**2 + 3*j - 2. Let f be u(2). Is (0 + -2371)\/(f + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50272173 is divided by 29245?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 708472.2 centuries?\nAnswer: 7084722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -80 - -118. What is the remainder when 303 is divided by j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -r**3 + 4*r**2 - 21*r + 81. Calculate q(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 + 10 = w. Calculate the remainder when w is divided by -1 + 33\/21 + (-2847)\/(-273).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30 less than or equal to -123846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from yrrrryrrrioicyrcr.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7 - 14. Let x(u) = -u**3 + 7*u**2 + 2*u + 10. Let a(l) = -l**3. Let h(z) = 2*a(z) - x(z). List the prime factors of h(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 50 - (99 - (-45 + 91)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g - 4*g + 0*g + (g - 1 + 1)*(0 + 0 + 1) + 3*g - g - g - g + 0*g + 3*g + 3*g - g - 3*g)*(9 - 12 - 12).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = p + 9285, 5378 + 185 = 3*a + p. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 91*r + 3837. Let f be o(-11). What is the highest common divisor of 8 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1885319 is divided by 13184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4\/2228239 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11\/5*(-36)\/(-99).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 616 = n - m - 175, 2*n - 4*m - 1574 = 0. Is n\/10 - (-1)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5 + -14. Let f = t - -19.00053. What is f rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -1\/831?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = -w + 5*x, 15 = 5*w + 4*x + x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/(15\/50*(-4)\/(-6)). Suppose s*a - 357 = -5*h + 628, -5*a = 0. Suppose -5*l - 4*f = -7*f - h, -177 = -5*l - 2*f. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -19748*c**2. Let w(i) = -14*i**2. Give w(y(j)).\nAnswer: -5459769056*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/((-12)\/15) - (-11)\/22. Let g be h*555\/(-280) + -4. What is the second biggest value in 1, 2, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 152779328 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -4*k**2 + 4*k - 12. Suppose -6 = -4*o + 6*o. Let g(v) = -4*v**2 + 3*v - 11. Let x(m) = o*a(m) + 4*g(m). Differentiate x(n) wrt n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -282\nAnswer: 1\/282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1209 + -57908?\nAnswer: -56699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1047936, -1047942, -1047948, -1047954, -1047960?\nAnswer: -1047966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2*(-885)\/(-10) + -1. Let r = h + 479. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5\/2 (b) 0.2 (c) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = -3*d - d. Let g be (6\/(-5))\/(4\/(-10)). Suppose -d = -g*p + 2. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.1278 - -0.128462. What is n rounded to five dps?\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -30085.3 + 29152.502. Let s = i - -933. Round s to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24715655 + -2.2?\nAnswer: 24715652.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kj when two letters picked without replacement from fjddzkz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -259 divided by 9\nAnswer: -259\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.02? (a) -0.05 (b) -4\/5 (c) -652.04 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4408, 4405, 4400, 4393?\nAnswer: 4384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1128*k - 590*k - 551*k.\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/7, 0.2, 0.5, 4, -1\/2 in ascending order.\nAnswer: -1\/2, -2\/7, 0.2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 658 is divided by 208?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 * -23343442.\nAnswer: 93373768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1819339*h**3 + 4*h**2 + 501171*h + 1 wrt h?\nAnswer: -10916034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 9*l = -724. Let g = l + 474. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*k - 2*k + 2*k)*(3*k - 4*k + 2*k) + 0*k + k + 152*k**2 - 149*k**2.\nAnswer: k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -925.23606 rounded to one decimal place?\nAnswer: -925.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 4, t: 1, s: 2}. What is prob of picking 1 t, 2 p, and 1 s?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7*c**5*k + c**3*k**3 + c**2*k + 55*c*k**3 wrt c.\nAnswer: 140*c**3*k + 6*c*k**3 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -9, -0.3, -1, 0.5, -6\/197?\nAnswer: -6\/197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 5*g + 9 = 29, -12 = -2*o - 3*g. Suppose 5 + 5 = -v + t, 5*t = v + 18. Let d be 26\/v + 3 - (-3)\/12. Solve d*u - u - 3 = o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = -202 - 278. Suppose -p + 70 = 5*b, b - 6*b - k = -p. What are the prime factors of p?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 23*l - 7. Let g(y) = 12*y - 3. Suppose b = -42 + 48. Let w(o) = b*h(o) - 14*g(o). Let s(x) = 3*x. Calculate s(w(u)).\nAnswer: -90*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(10\/7)\/k**28*(k*k**22)\/(k**26\/k) assuming k is positive.\nAnswer: k**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (0*s - 5*s - 3*s)*(-3 - 2 + 3)*(0 - 5 + 8)*(-2*s**2 - 3*s**2 + 3*s**2 + 2*s**3) as c*s**4 + h*s**3 + j + y*s + w*s**2 and give h.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -147*c - 8526 - 77*c + 8526 as m*c + q and give m.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + -12 + 7 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m + 7*m. Suppose -2*x + m*x - g = -17834096, 3*x = 5*g + 26751131. Suppose 917047 = -h + x. What is h rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 - ((-77 - -78) + -9 + 1) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 21122 + 222?\nAnswer: 22121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -201212 - 20103210?\nAnswer: -20311022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the first derivative of 0*s**3 - 1\/4*s**4 + s + 0*s**2 + 2. What is the units digit of b(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 12970 - -2592. What is the first derivative of 2*y + j + 143*y**3 - 2*y - 15635 wrt y?\nAnswer: 429*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 8 + -20 + (3 - -11) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 213284272, 213284274, 213284276, 213284278, 213284280?\nAnswer: 213284282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 9, w: 3, e: 4}. Give prob of sequence rwer.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -1282.9 rounded to the nearest ten?\nAnswer: -1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 0*f = 0. Solve f = 3*m + 5*a + 18, 0 = -m - 0*a + 4*a + 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 33 + -30. Solve a*g = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4\/7? (a) -5 (b) -0.5 (c) 10.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 22 (base 11) to base 13.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 12? (a) 2 (b) 2\/13 (c) -453\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes before 7:38 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9277349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3.5 - -4. Let y = -0.4 - -0.1. Let p = 2.7 - y. Which is the second biggest value? (a) p (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2836599 and 282?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-3 - -37) + (-103 - -150 - 33)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1778 and 63.\nAnswer: 16002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 632440.5 nanometers?\nAnswer: 0.06324405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 8*n - 3. What is k(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -71\/232 and -67\/20.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*z + 2*z + 89 - 92)*(1 - 1 - z**3) as v*z + d*z**3 + m + w*z**4 + g*z**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 447.737 + -447. Let m = s + -0.637. Which is smaller: -268 or m?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 74*i**2 - 41*i - 21. Let p(k) = -27*k**2 + 14*k + 7. Let y(a) = 11*p(a) + 4*q(a). Calculate y(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9236 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = -590 - -594. Suppose -57*s = -55*s - 10, t*b - 113 = -s. What is the remainder when 107 is divided by b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 1, -4, -2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 39744*c**2 - 2*c - 39414*c**2 - 5*c in the form b + u*c + y*c**2 and give y.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2 - -20. Let j be ((-4)\/(-6))\/((-30)\/c). What is the closest to j in 0.5, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 2*i - 215 = 11, 0 = u - 3*i - 74. Let q = -43 + 64. Calculate the remainder when u is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 10*s**2 + 3*s - 15. Let q(t) = -21*t**2 - 6*t + 36. Calculate -9*c(x) - 4*q(x).\nAnswer: -6*x**2 - 3*x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 18.11663um in nanometers?\nAnswer: 18116.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mdul when four letters picked without replacement from {x: 4, d: 4, l: 2, m: 1, u: 3}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**42\/v)\/v**(-40) assuming v is positive.\nAnswer: v**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**3 - 9*j**2 + 9*j - 6. Let y be o(-10). Suppose 0 = -y*f + 6 + 2. Factor 12*v**3 + 0*v**3 - f*v**4 + 6*v**4 - 10*v**3.\nAnswer: 2*v**3*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 22\/(-6) + 1 + 8600\/750 + -16 + 7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2\/3555 + 14933\/3555. Let h(d) be the first derivative of -15\/2*d**4 - 18 + 81*d + f*d**5 - 18*d**3 + 81\/2*d**2 - 1\/2*d**6. Factor h(z).\nAnswer: -3*(z - 3)**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 537*h**2 + 2691*h + 24. What is u(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 342554 and 34574?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -24*(-89)\/13528*532\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3\/(-9 + 6)*(-4 + 1). Suppose 13*w = -c*w + 16. Round w to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 21*c - 50*c + 22*c + 17*c - 25. Let a(s) = 3*s - 7. Let o(q) = -14*a(q) + 4*j(q). Determine o(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -13918 - -13917.8. Let o be 0 + 6\/(-4) + 1. What is the closest to r in -1, o, 4\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.07972 + 0.11. Let d = -0.19 + b. What is d rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5863449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 76 in 0.02, -0.3, 5, 0, 26, 4?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -5 times -42\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3)\/18 - 3\/(-18). Let j be n + (-2 - (6 + -4)). Let i be -1 + 1 - j\/(-12). What is the second biggest value in 0, 1\/5, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2523\/5 + 3947\/5. Let u = r - 283. Let i = u - 22\/15. What is the third smallest value in i, -0.2, -0.05?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8179 - -3213. Let m be 10\/25 + i\/40. Let g = 123 + m. What is the closest to -0.1 in -0.1, g, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the second derivative of d**3\/6 - d**2\/2 + 2*d. Let u be i(4). Suppose -4*o + 18 - 6 = 0. Solve 3*h + u*k = -15, o*h + k - 4 + 13 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -57*k - 2483. Calculate the lowest common multiple of 104 and r(-75).\nAnswer: 23296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 21*r - 3*r + 2 + 6*r - r**2 - r**2 to v*r**2 + x + m*r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the third derivative of -y**8\/560 + y**7\/280 + y**6\/40 - y**5\/40 - y**4\/4 - 4*y**3 - 19*y**2. Let h(d) be the first derivative of k(d). Factor h(t).\nAnswer: -3*(t - 2)*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 3 o when four letters picked without replacement from aoooa.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 14) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 56383691 to the nearest integer?\nAnswer: 7509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -274, -272, -270, -268, -266?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = u**3 + 2*u**2 - 3*u. Let b be q(2). Suppose h - 3 - b = 0. Suppose 0 = 2*g + n - h, g - 3 = -4*n. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1192 and 7450?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -k**2 + 280*k - 6. Let y(g) = g + 1. Give -6*y(j) - z(j).\nAnswer: j**2 - 286*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0 (b) -0.03 (c) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8597400 divided by 2225.\nAnswer: -3864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1210 - -1209.8. What is the closest to -0.1 in -3.01, -1\/2, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 2973387063 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 16112319953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 1\/((-1)\/(-22)) - 906353\/41552\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + a - 52 = 23, -a = -3*n + 65. Is 21 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 18, -19, 38, 2, 1 in ascending order.\nAnswer: -19, -4, 1, 2, 18, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 119 divided by 29?\nAnswer: 119\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 45.60591l in millilitres?\nAnswer: 45605.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -60*y - 4. Let d(r) = 186*r + 13. Let g(u) = -10*c(u) - 3*d(u). Determine g(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -9\/8 in 72, -6\/11, -2\/5, 2, -3?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 19, 26, 0.54, 2\/19, -0.1, 5 in decreasing order.\nAnswer: 26, 19, 5, 0.54, 2\/19, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t + 26. Calculate p(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -6*y + 9*y - y - 5*y - 11*y**2 - y**3 in the form s*y**3 + t + v*y**2 + d*y and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f**2 + 6*f + 8. What are the prime factors of j(-11)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (25\/1000*150)\/(132\/(-64)).\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - 14) + (-15 - (17 + 2 + -19)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -67\/80 and -13\/15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 9*u + 2*v + 16, 3*u + 171 = -11*v - 103 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -425 - 16020. Round j to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 122157884 + 2*a**3 - 122157884.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ayyybyrllb. What is prob of sequence yabl?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 721 is divided by 162?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 403706, 402833, 401960, 401087?\nAnswer: 400214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 - 2 - 0) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 62 + -44. Suppose -20 = -y - d, y - d + 2 - t = 0. Find the second derivative of y*o**5 - 10*o**5 - 4*o - 4*o**5 wrt o.\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1\/100 + -43\/700. Put -4, q, 1 in descending order.\nAnswer: 1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -9*n + 11. Let d be p(5). Let m = d - -122. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.25 - -0.14. Let q = m - -3.11. What is the smallest value in 4, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 126 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 3*g - 11*g - g**2 + 0*g**2 + g - 4. What is m(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 16 - 16 + (-4 + 5 + 0)*(3 - 9 - 15))*(5*z - 2*z + 0*z).\nAnswer: -159*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 2 + 3 = -5*d, -2*d - 2 = 3*a. Suppose a = -w - 78 + 96. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (4 - (9 - (2 + 5))) + -2 - -98\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -7131*y + 380 = -7121*y for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.026 and 2?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -14, -0.4, -0.5, -1, -2\/9 in increasing order.\nAnswer: -14, -1, -0.5, -0.4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 64*j + 1788. Give c(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 8*(-12)\/(-384)*-4*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d**2. Suppose -2 = -3*a + 10. Let r(k) = -a*k - 4*k + 27*k. Calculate r(g(s)).\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = m**2 + 338*m. Let g(s) = -s**2 + s. Calculate -2*g(j) - q(j).\nAnswer: j**2 - 340*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 3*g = -16 - 0, -40 = -5*m + 5*g. Suppose m*v + 4*l = 50, 2*l = -v + 7*l + 10. What is the least common multiple of 12 and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1234730 by 1.\nAnswer: -1234730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -244 (base 15) in base 9?\nAnswer: -631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 110.7 + 21.3. Let d = -131.9 + l. Let q = -0.4 - -0.2. Which is the closest to d? (a) 0.1 (b) q (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -2*o**2 + 27*o - 11. Let z be w(11). Let f = -40 + z. What is the least common multiple of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 129 = -5*i - 0*i, -93 = -3*v + 5*i. What is the highest common divisor of 54 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 281 and 4965.\nAnswer: 1395165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-56)\/70)\/((-4)\/30). Solve 16 = -4*i, -2*s = -g*s - 4*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 73612243 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 6754275 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 424 - 422. Suppose 4 = x*r - 6. Put -4, -5, 2, r in ascending order.\nAnswer: -5, -4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2.09 + 0.09. Which is the second smallest value? (a) 23 (b) j (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/2, -0.2, 0.01, 1\/372?\nAnswer: 1\/372","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -4*z**2 - 10*z - 6. Let m be v(-2). Is 99 a factor of 93*((0 + m)*-3 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6755.7375ns in days?\nAnswer: 0.00000000007819140625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 + 10222?\nAnswer: 10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2 - (-2 + -26*53). Suppose 9 - 364 = -m + 4*u, 4*m = -5*u + g. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 7, -180 in increasing order.\nAnswer: -180, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7 - -3. Let s = -3.5 + -1.5. What is the second smallest value in v, s, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 8205*q + 5. Let s(h) = 20521*h + 12. Calculate -5*s(l) + 12*t(l).\nAnswer: -4145*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -29 - -40. Suppose -5*x + 11 + 19 = 0. Let o = t - x. Solve -o*l - 8 = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*n**3 + 3*n**3 - 6*n - n**3 + 19*n as v*n + l*n**2 + k + x*n**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*o + 81 = -24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*i**4*n - 984*i**4 + 2*i**3*n + 4*i**3 - 327*i**2*n - 2*i**2 + 4*i + n wrt i.\nAnswer: -48*i*n - 23616*i + 12*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 385*q - 816*q - 1113*q.\nAnswer: -1544*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -c**3 - 7*c**2 - 8*c - 1. Suppose -3*g + 20 = -76. What is the remainder when g is divided by v(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/1437 less than or equal to -26\/1273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 411 divided by -105202?\nAnswer: -411\/105202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, j: 1, k: 2, m: 1}. What is prob of sequence kk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 5*i**3 - 190*i**2 - 229*i + 1315. Determine y(39).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (6 + -7 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2461 - 2296. What are the prime factors of a?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2 + 121011?\nAnswer: 121013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = y**2. Let q = -19 + 23. Suppose -4*a = 2*i - 104, a - i + 76 = q*a. Let p(u) = -a*u - 2 + 2 - 10*u. What is p(n(d))?\nAnswer: -34*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -61*z - 4 - 1 + 4 + 58*z + 1.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -0.2, -1\/4, 199\/26 in ascending order.\nAnswer: -1\/4, -0.2, 3, 199\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 289417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (0*b - b + 2*b)*(0*b - b + 3*b) - 2*b - 2*b**2 + 3*b**2 + 8*b**2 + (-6*b - 12 + 12)*(3*b - 4*b + 2*b) as z + n*b + y*b**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -11254*-7419\nAnswer: 83493426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*n - 168 = -26*n. Solve 0 = 4*c - 4*b - n, 0 = 5*c - 3*b - 0*b - 20 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 106417 = 39*f + 105169 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -1, 10, 6, -4 in increasing order.\nAnswer: -4, -1, 5, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -177, -355, -533, -711, -889?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the third derivative of 0*p + 0 + 1\/12*p**4 + 0*p**3 + 12*p**2. Let w(v) = -40 - 62*v**2 + 23 + 116*v**2 - 55*v**2. Give w(t(c)).\nAnswer: -4*c**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*x - 85 + 6 = 47 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, 158, 2, 0.09 in ascending order.\nAnswer: 0.09, 0.1, 2, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = 179 - 3041\/17. Sort x, -2\/15, -0.3, 1\/4 in decreasing order.\nAnswer: 1\/4, x, -2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1415 is divided by 401.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/261 and -13\/651.\nAnswer: 56637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the third derivative of -1\/48*j**4 + 0 - 1\/240*j**5 + 0*j - 26*j**2 + 0*j**3. Factor t(m).\nAnswer: -m*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -o**3 + 4*o**2 - o + 1. Let v be n(4). Let g be (-1)\/v + (-209)\/(-57). Differentiate -17 + 2*u**3 + g - 2*u**3 + 18*u**3 with respect to u.\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 162 in 50, -0.05, -1\/17, 0.8?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -2*r - 123. Give p(-48).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m - 52 = 0, 279*m = -k + 284*m + 61 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 2*b - 6. Let z be r(6). Let m = 11 - z. Calculate the remainder when 12 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*l**3*w**2 + 7322706*l**3*w + 2*l**3 + 1459059*l**2 - 2*l with respect to w.\nAnswer: 4*l**3*w + 7322706*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**2 - p - 1. Let c = 8 + -6. Let v(s) = 3 - 3 + 1 + 2*s - 4*s**c + 2*s**2. Let w(h) = 2*h + 47. Let u be w(-22). Calculate u*i(n) + 2*v(n).\nAnswer: -n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 809 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 3*y + 56 = 49, 20 = -5*y. Suppose -19*g + 23*g = -4, a*k - 4*g - 3224 = 0. What is the greatest common factor of k and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 7504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the first derivative of d**4\/4 - 3*d**3 - d**2\/2 + 11*d + 17. Let q be f(9). Solve 7 = -g + q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 21\/3 + 3 - (-5 - -5)\/(-16). Solve 0 = g - 2*g + k*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1248 + 462. Let r = b - -786.00000174. What is r rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -1, -26, 0.959?\nAnswer: 0.959","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1987*s - 15007 = 2277*s - 866*s + 52953 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -12 + 25. Suppose -2*x = -7 - r. What is the least common multiple of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 34 and 223716226.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ppypyyhyppeg. What is prob of picking 1 p and 1 h?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 17167125 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 327, -3\/11, -2\/3, 0.2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g and 1 b when three letters picked without replacement from cbggongcffgccccnbfb.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 3.71 (c) 6 (d) 2\/7 (e) 207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 412 in 7\/22, -0.1, -1\/6?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -643040 + 226*c + 643040 - 314*c + 220*c.\nAnswer: 132*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 36 minutes before 9:43 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be (4\/42)\/(4 - 55\/15). Let j = 0.9 - 0.6. What is the closest to 1 in j, 0.1, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5 - 1. Let h = -757\/5236 + 7\/187. Let u = -9\/14 + h. What is the nearest to 0 in x, 1\/2, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -16*l*m**3*w - 6*l*m*n + l*n*w + m**3*n*w + 173*m**2*n*w wrt l?\nAnswer: -16*m**3*w - 6*m*n + n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -8397*s + 235143. Give y(28).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 296*d + 3. Let v be c(-2). Let y = -2525 - v. Let o = -7783\/4 - y. What is the common denominator of o and -89\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.07 - -1.17. Let z = 1.100076 - f. Round z to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes after 5:52 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 113 a factor of 2753781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.03 times 0.019?\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8809*p + 8814*p - 2830. Calculate the greatest common factor of p and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -81844 (base 10) in base 5?\nAnswer: -10104334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 2, -2, 134 in decreasing order.\nAnswer: 134, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -1862 by -98.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/643365 and -67\/32883100.\nAnswer: 295947900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -47 in -4, -1, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.265 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1 - (100\/26 + -3). Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.03715 to 3 dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 646 minutes after 7:27 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1804.45658 - 1804.6. Round y to three decimal places.\nAnswer: -0.143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j**3 + 26*j**2 - 44*j + 4. Let q be i(24). What is the greatest common factor of 250 and q?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 4*m + 34. Calculate the common denominator of 119\/20 and (m - (-445)\/108)\/((-3)\/(-45)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + v - 2*v - 76 = 0, 0 = s + 4*v - 36. What is the remainder when 77 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -632*p**2 - p. Let q(m) = m**2. Determine q(g(j)).\nAnswer: 399424*j**4 + 1264*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the second derivative of -3*r**5\/10 - r**4\/4 - r**3\/2 - 187*r - 3. Let z(k) = -k**3 - k**2 - k. Calculate 4*a(d) - 12*z(d).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -3976200*v**3 + 11908860*v**2 + 118391*v\/2 + 147\/2.\nAnswer: -(v - 3)*(2820*v + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = 3*g - 2*g - 206, 100 = 2*y + 2*g. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 2*m = v - 9, -5*m = 4*v - 12. Let y = 1.849 - -0.011. Let d = -0.14 - y. Which is the closest to d? (a) -0.5 (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -19*c + 19*c - 2*c**2. Let z(u) = 542*u**2 - 3*u - 10*u - 543*u**2 + u. Give s(z(y)).\nAnswer: -2*y**4 - 48*y**3 - 288*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Solve 22 = 5*g - 2*b, 0 = 4*g - 159*b + 154*b - 21 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-2 - -2)\/4)\/1. Which is bigger: f or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -38 * 1615594\nAnswer: -61392572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x\/(x\/(x**(-1\/20)*x)*x*x)*x*x*x*x*x*x**(-18\/11)*x*x)\/(x**23)**(1\/2) assuming x is positive.\nAnswer: x**(-1361\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 55100489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2144650 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4012.3 + 4012. What is the nearest to -13\/3 in -4.8, 0.2, 2, x?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 2.0213955 from -4.\nAnswer: -6.0213955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -334 times -9\nAnswer: 3006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.1 or -213?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*r**2 - 5*r**2 + 4*r**2)*(3*r**2 + 8*r - 8*r) + 0*r + 0*r - 2*r**4 to c*r**3 + y*r**2 + t*r + v + p*r**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1200 - 1086.1. Which is greater: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 32*l**2 + 4*l + 4. Let m(f) = -30*f**2 - 3*f - 3. Let x(d) = -3*k(d) - 4*m(d). Let p(c) = -2*c**2. What is x(p(u))?\nAnswer: 96*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zwi when three letters picked without replacement from tzrirwrtwitwtwttt?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k be 16\/10*20\/12*33. Let r = -86 + k. Suppose 0 = c - 3*f - 208, 2*f + 97 - 529 = -r*c. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 166.2 - -2.8. Let b = y + -177. Which is smaller: -0.7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4615, 24, -4 in ascending order.\nAnswer: -4615, -4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be -3*(-3)\/((-36)\/(-16)). Let i = -56.9 + 34.1. Let y = 22.7 + i. Which is bigger: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -132123000111 - 10?\nAnswer: -132123000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:19 PM and 1:51 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**3 - 60*t**2 - 51*t - 606. Determine n(61).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 18 - 23. Suppose -4*w - w - 5*w = 0. Which is the closest to w? (a) u (b) 1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((630\/(-27))\/14)\/(410\/(-2214))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 - -19. Suppose -4 + w = -4*a. Let j(r) = r - 1. Let z(m) = -3*m + 2. Let k(d) = -7*j(d) - 3*z(d). Determine k(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -6459, -12947, -19435, -25923?\n\"Answer: -6488*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-136*m + 136*m + 29*m**4)*(1 - 28*m + 5*m - 4*m).\nAnswer: -783*m**5 + 29*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rnnhrvhv. What is prob of picking 2 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is b in 3*b**2 + 1758*b + 111024 = 0?\nAnswer: -514, -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**2 - 72*i + 1280. Let k be v(40). Let y(u) be the first derivative of 5\/4*u**4 - 5\/6*u**6 + 12 + 0*u**2 - u**5 + k*u + 5\/3*u**3. Factor y(g).\nAnswer: -5*g**2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1840841947 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -3*r**2 + 3*r**2 + r**2. Let p(s) be the second derivative of 2*s**3\/3 + 128*s. Calculate i(p(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.26, -5\/2, 0.5, 5\/2, 0.05, -3, -0.04?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -35770 to the nearest one thousand.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*j**2 + j**2 + 2*j**2 + (-j + 2*j + 0*j)*((-6*j + 3*j + 2*j)*(2 - 1 - 4) - j + 4*j - 5*j))*(-3*j + 0*j + 2*j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m, 1 p, and 1 f when four letters picked without replacement from {m: 2, f: 8, p: 5}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qxxqxxxaxdxqqqxqdq. What is prob of sequence aqx?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -9*k + 17. Let d be v(-7). Solve -6*j = 10*j - d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + (-10 - (-10 - -5) - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1 + (-4)\/(-2) + 9. Suppose -y = -5*h + 35. What is the remainder when 17 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 81*v**2 + 26 + 90*v**2 + 3*v - 32*v**2 - v.\nAnswer: 139*v**2 + 2*v + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/(-7) - (-297)\/847)*(55\/5 - 18)?\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = -2*b - 7, y - 4*b = 2 + 3. Let s be (4\/(-5))\/(y\/(-5)). Suppose -s*f + i = -33, i = f - 4*i - 32. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -0.4 (b) -1 (c) 0.3 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**3 - 15*k**2 - 3*k - 40. Suppose -4*q = -3*t - 61, q - 21 + 2 = t. Let n be u(t). Solve -10 - n = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1012 + -654. Which is smaller: 2865\/8 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x and 1 t when three letters picked without replacement from xxtxtxttttxtx.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4806 + 2141. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 41*q**3 - 168*q**2 + 28*q - 22. Determine y(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 9*a**3 + 11*a**2 - 5*a - 31. Let t(r) = 4*r**3 + 5*r**2 - 2*r - 15. Give 5*t(z) - 2*w(z).\nAnswer: 2*z**3 + 3*z**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 13534 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6 + 2*s**3 - 4*s**3 - 14 + (13 - 13 + 4*s**2)*(-6*s - 14*s - 5*s) to the form o*s**2 + a + w*s**3 + l*s and give w.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 98, 298, 636, 1118, 1750, 2538, 3488, 4606?\nAnswer: 5898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 505 - 499. Solve -10*z = -8*z - y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in j**2 - 95797251*j + 95797251*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 5) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 72467, 145883, 219273, 292631, 365951, 439227, 512453?\n\"Answer: -g**3 - 7*g**2 + 73444*g - 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-1*((sqrt(720) - sqrt(720)*3) + -4)*6)**2*-2.\nAnswer: -625536 - 41472*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -k**2 - 14*k - 8. Let i be b(-8). Calculate the highest common divisor of 60 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5 - -12. Suppose -g*a = -2*a - 10. Solve a*c = -0*f + 2*f + 2, 5*f = 4*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a**3 + 11*a**2 - 24*a + 9. What is the tens digit of i(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00001058198 rounded to 7 dps?\nAnswer: -0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -i**2. Let c(t) = -17*t**2 - 14*t + 32. Calculate c(f(b)).\nAnswer: -17*b**4 + 14*b**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10\/(-75))\/2*(-36)\/(-300)*10?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36*l - 10*l + 4546134 = 92*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 108569.4435s?\nAnswer: 0.17951296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (-1 + sqrt(11))**2 + sqrt(11) + sqrt(44)\/(sqrt(16)\/sqrt(4) + sqrt(4)) + 3*(2 + -1*sqrt(11)).\nAnswer: -7*sqrt(11)\/2 + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-486)\/21492*(1 + (-104)\/72)?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 84096787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -20031235 (base 7) to base 14\nAnswer: -31108c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f**2 + 13*f + 8. Let l be c(0). Suppose 3*z = 0, 0 = -4*m + l*m + 2*z. Find x, given that m - 2\/5*x**2 + 2\/5*x = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -530.534 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -91*b**2*r**3 + 7*b**2*r - 2*b**2 + 993*b*r**2 + r**4 + 8*r**3 + 2*r wrt r.\nAnswer: -546*b**2 + 24*r + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n**2\/7 - 11*n\/7 + 4 = 0. What is n?\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10430699 = -11*o - 2*t, -3*t - 57 = -30. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (70\/(-4))\/7*-64*3.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2784, -2785, -2788, -2793, -2800?\nAnswer: -2809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 36692168129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 6212.57us?\nAnswer: 0.00621257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -4*h**3 - h**2 + 2*h - 1. Let d be y(1). Let c = 0 + 0. Let s(n) = 0*n**2 + 4*n**2 + 1 + n**3 + c*n**3. Determine s(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (768 - 4490 + 15067)*(-4 + 2 + 1)*(-1 + 0 + 2)*(-o - o + 0*o) as h*o + k and give h.\nAnswer: 22690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 1362522.735us to weeks.\nAnswer: 0.0000022528484375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**3 - 3*o**2 + 5*o. Let q be t(-5). Let a = -1064 + 1059. Put 1\/8, a, -1\/3, q in decreasing order.\nAnswer: q, 1\/8, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 25071*r + 476222. Determine s(-19).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -m + 459, 2*l = 5*m + 754 - 3139. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -15*p - 37*p - 33*p + 18*p to the form c*p + x and give c.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**2 - 2*d - 12. Let l(g) = -g - 3. Determine -j(v) + 5*l(v).\nAnswer: -v**2 - 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.1106 - 0.11. Round i to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 5, -89, 0.07, 0.5, 12 in decreasing order.\nAnswer: 12, 5, 2, 0.5, 0.07, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 14 + -10. Let m(f) = f**2 - 7*f + 6*f**2 - 2*f**2 - f**2 + i. What are the prime factors of m(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in 6\/13, -5, 4, 2\/11, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**3\/4 + 11519*s**2\/4 - 68970*s.\nAnswer: -s*(s - 11495)*(s - 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1430289 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zaqzqqpeppzaepapp. What is prob of sequence qpz?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*p + p - 2*p - 3*p - 2*p - p + 4*p - 3*p - 3*p + (-3 + 0 + 4)*(p + 0*p - 3*p) - p - 3*p + 5*p + p + 0 - 2*p + 2 + 19*p + 13*p - 59*p.\nAnswer: -35*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8 - 13. Let y = o + 1. Let p = -6 + 2. Is y at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 644759030?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 x, and 2 q when four letters picked without replacement from {x: 1, o: 2, q: 2, h: 1, d: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 10 = -0. Let d(o) = -10*o**2 - 40*o - 51. Let p(f) = -2*f**2 - 8*f - 10. Let s(j) = t*d(j) + 11*p(j). Factor s(c).\nAnswer: -2*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 264376972 < 1057507889\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 12*o + 88. Let b be q(-12). Let a be ((-4)\/14)\/(8\/b). Solve p - 3 - a = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 728249251 a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1100) - (sqrt(1100) + (sqrt(1100) + (-3 + sqrt(1100) + sqrt(1100)*2 - sqrt(1100)))**2).\nAnswer: -9909 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 20358474 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -22 = -4*s + 2*v, 2*v - 7 = 2*s - 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -30 + 31 - (3 + 13 + -4 + 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -n**2 - 18*n + 2. Let q be (8 + -2)\/(((-1)\/(-3))\/(-1)). Let u be d(q). Solve r + 0*w - 18 = -4*w, -5*w = -u*r - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the second derivative of 107*l + 0 - 9\/8*l**4 - 729\/4*l**2 + 1\/40*l**5 + 81\/4*l**3. What is c in u(c) = 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 61*h + 51832 = 243*h + 407*h for h.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 4071595441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2931.48 - 155.\nAnswer: -3086.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 738065493 to the nearest integer?\nAnswer: 27167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*x - 5*n - 171 + 204, -x + 18 = 4*n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 10 = -4*k - 52, -3*k = 4*i - 179. Suppose -3*g + i*g - 152 = 0. What is the highest common divisor of g and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in -0.02, 0.64, 1\/9, -2\/13, -71, -0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the first derivative of -u**4\/4 + 7*u**3\/3 - 7*u**2\/2 - u - 3252. Suppose 0 = -2*s - s. Suppose s*t + 18 = 3*t. What is m(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in -0.8, -4, -324\/137?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*i**2 + 14*i**2 + 1 + 1 + 3*i)*(13*i + 581 - 581).\nAnswer: 26*i**3 + 39*i**2 + 26*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xzztgag. What is prob of sequence xggz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 47209*w**4 - w - 6461?\nAnswer: 566508*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -4066.1 and 3.1?\nAnswer: 4069.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (17 + 17*h**2 - 17)*((-3 + 1 + 1)*(-2*h - 2 + 2) - 16*h + 2*h + 3597 - 3737 - 3*h) to the form y*h**3 + b*h**2 + w*h + l and give y.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1767\/2, 1, 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand y**4 - 2*y**4 - y**4 + (3*y**2 + 2*y**2 - 6*y**2)*(-4*y**2 + 3*y**2 + 3*y**2) - 8*y**4 - 15*y**4 + 158*y**4.\nAnswer: 131*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1510*b**2*q**3 + 5*b**2 - 18*b - q - 2 wrt q.\nAnswer: 9060*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7.87 + 8. Let q = v - -13.87. Let l = 17 - q. What is the nearest to 3\/5 in 0.1, 0, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11148367 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -1420972 divided by -4\nAnswer: 355243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -2059 * 11\nAnswer: -22649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 10 + -5. What is the derivative of -6*s + 6*s - m*s + 1 wrt s?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6590440007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 197635, 197741, 197847, 197953?\n\"Answer: 106*d + 197529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 419 minutes after 8:27 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 4*s + 17. Give a(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1075 and 277350.\nAnswer: 277350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 6\/11785, 5, -2 in ascending order.\nAnswer: -2, 6\/11785, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 169*l - 1104 = 31*l. Solve -a + 5*q = 25, -3*q = 3*a - l*a - 37 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - 58\/(-40) - (-3)\/(-12)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h**3 + 2*h**2 + h. Let b be s(2). Suppose b*n = w - 3, 0 = -3*w - 2*n + 2 + 7. Sort 0, w, 1 in increasing order.\nAnswer: 0, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1008 greater than or equal to -7055\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-2)\/4)\/(3\/84). Let w = s + 18. Calculate the common denominator of 65\/8 and w\/(-6) - 38\/(-15).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7602?\nAnswer: 2, 3, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*h = 12*h - 190. Solve -2*w + 7 = 3*b + 3*w, -h*w = -5*b - 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -107, -547, -1685, -3869, -7447, -12767?\nAnswer: -20177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -4*l**2 + 108*l - 652. Let j be v(16). Sort j, -10, -6 in descending order.\nAnswer: j, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 2*t - 6 = 0. Suppose t*c = 3391 + 4889. Round c to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-2\/7))**27*(s\/(s\/(s\/s**(-6\/7))))\/(s\/s**(1\/20)*s*s))**(-13) assuming s is positive.\nAnswer: s**(16029\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the second derivative of 5*v**4\/12 + v**3\/2 + v**2\/2 + 5*v. Let z be t(-4). What is the highest common factor of 23 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4.719 - -2640?\nAnswer: 2644.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 1 x, and 1 u when three letters picked without replacement from {x: 1, p: 10, v: 1, z: 1, u: 7}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -4*j**3 + 6*j**3 - 8810*j + 11*j**2 + 8816*j in the form z*j + x + w*j**3 + o*j**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10346 is divided by 100.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r - 5*r - 3*p + 791, -4*p + 20 = 0. Let o(y) = -y + 1. Let k be o(-3). Suppose -k*b - 5*t = -136 - 691, r = b - 3*t. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -125.68 - -0.68. Let i = y + 127. Is 13 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -514, -1.\nAnswer: -514, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -4342.1 * 52\nAnswer: -225789.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 45.4998 meters in centimeters?\nAnswer: 4549.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0916 rounded to 3 dps?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the first derivative of 16*m**3\/3 + 34*m - 22. What is the first derivative of l(d) wrt d?\nAnswer: 32*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 511795 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -272 - -282. Suppose 0 = q + r + t, -49 = 3*q + q - 5*r. Is -17 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -36.7483 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p\/p**(-18)*p*p*p**(-27))\/(p**(-1\/5)\/(p*p\/p**(-14))) assuming p is positive.\nAnswer: p**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4, 0.1, 5\/2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 15.5 - 17.5. What is the closest to i in 0.4, -3\/4, -40?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes after 3:48 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 0.5 times -339752\nAnswer: -169876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -9763068 divided by -116227?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4\/((-8)\/3)*2. Let i be (-2 - (-24)\/v)*-2. Suppose -i = -z - z. Calculate the least common multiple of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -27557, -39664, -51775, -63890, -76009?\n\"Answer: -2*g**2 - 12101*g - 15454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 310 minutes before 5:52 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 2751 divide 43790418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3964*d - 228258 = -163*d + 87462 - 76354 for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d - 92 = -2*d. Let k be d\/(-24)*(-4)\/15. Let p = -1\/18 - k. Is p at most as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7223 - 7222. Calculate the lowest common multiple of g and 1284.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 - (-2 + -5 - -249)*2\/54.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -341 + 349. What is the least common multiple of 23 and p?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 696997521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4)\/16*(-8)\/(-15). Let w(q) = -q**2 - q + 2. Let u be w(-2). Let f be 1\/12 - 2\/6. What is the closest to u in f, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 40*j. Let t(c) = -96*c - 2013 + 38*c - 2020 + 4032. Calculate r(t(b)).\nAnswer: -2320*b - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*u - 3*u + 25. Suppose 0*y = -u*g + y, -2*y + 12 = 2*g. Suppose 0 = -2*d - 0*d + 8. Calculate the greatest common factor of g and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.92 less than -71044128.7?\nAnswer: -71044126.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -47\/27 and 89\/904296.\nAnswer: 8138664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwkwwwwkkwww. What is prob of picking 3 w?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 678\/360 + (1264\/(-80) - -14)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 147\/5 < -0.2201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 33 + (53 - 50 - -47)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7268 greater than or equal to 154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1 and -783122?\nAnswer: 783122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 32 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -2*z**3 + 86*z**2 - 98*z - 2830. Calculate l(41).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-169)\/373152*92)\/((-8)\/3)\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 7547800.1 to the nearest 1000.\nAnswer: 7548000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -3*d**2 + 9*d**4 - 4 + 2*d**3 + d - d as b*d**4 + z*d + c*d**2 + f*d**3 + x and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0.081 * 5\nAnswer: 0.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -t**3 + 18*t**2 + 21*t - 40. Give u(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 135208.47 minutes?\nAnswer: 2253.4745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 558 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2.6 - -4.5. Let o = -2 + v. Let d = o - -0.1. Are d and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a**5 - 11478*a**4 + 14653548*a**3 - 6261827208*a**2 + 24813585888*a = 0. What is a?\nAnswer: 0, 4, 1274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 483 divided by -9853\nAnswer: -483\/9853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -359272436*q**2 - 360160444?\nAnswer: -718544872*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -5*j, 5*k - 2*j = 2*j + 126. Is 0 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 72 divide 2736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -288*z**5 - 455*z**2 wrt z?\nAnswer: -17280*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -n - 4*b - 37, 2*n = 2*b - 7*b - 80. Let y = n - -76. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(88)\/(sqrt(11) + 1*sqrt(396)))\/((sqrt(16) - sqrt(4))*-3*-1))**2 + 0.\nAnswer: 50\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p be 35\/(-300) - ((-14)\/8)\/7. Sort 2\/3, -2, 0, p.\nAnswer: -2, 0, p, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y**3 - y**2 + 1. Let q be s(1). Suppose c - q = 20. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 5, 4.8, 232, -1, 1.32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 126*w**3 - 9448*w**2 - 167000*w - 295200 = 0.\nAnswer: -820\/63, -2, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 70213 and 7722.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - -8)\/(-5 - 6097\/(-273)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 63 = -123. Let m = -393\/2 + z. Calculate the common denominator of -77\/18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = 5*v - 50, 2*f - f + 38 = 3*v. Let z(h) = h**2 - 16*h + 15. Let y be z(v). Let k = -25 - y. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that -25*n**3 + 1804335*n**2 - 721731*n + 72173 = 0.\nAnswer: 1\/5, 72173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3286 is divided by 131?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 110440 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -23 - -27. Suppose 112 = v + 4*v - 4*w, -n*v + 104 = 4*w. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10*v**4 - 41508*v**3 + 103*v**2 - 143*v - 681006?\nAnswer: -120*v**2 - 249048*v + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 3*t - 4. Let r(y) = -4*y + 4. Let h = -82 - -78. What is h*r(b) - 5*m(b)?\nAnswer: b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -271*q - 3465 + 1138 = -92*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 4937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -25*x**2 - 428*x + 4238. What is q(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 924158868?\nAnswer: 2, 3, 77013239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3571*c**2 - 269*c**3 - 3591*c**2 + 7162*c**2 - 99*c**3.\nAnswer: -368*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 6*v + 18 = 10*v, 0 = -4*q + 4*v. What is the least common multiple of q and (-2 - 12\/(-1)) + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -4820384 divided by -141776\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*s**2 - 83 + 83 + (s - 6*s + 2*s)*(0*s + 15*s - 5*s).\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = o**3 - 19*o**2 - 30*o + 9. Let f be t(20). Let d = f - -197. Solve 4*l = 2 - d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 52*k**2. Suppose -2 = -8*p - 26. Let o be -1 - ((-7)\/1 + (0 - p)). Let c(r) = o*r**2 + 18*r - 18*r - 2*r**2. What is s(c(a))?\nAnswer: 52*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 971364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -3*u**2 - 2. Let l(j) = 7. Let a(m) = 3. Let f(v) = 5*a(v) - 2*l(v). Give -2*f(z) - 2*y(z).\nAnswer: 6*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -36*r + 1164. Let i(v) = -4*v + 135. Let u(q) = -6*c(q) + 52*i(q). Give u(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:03 PM and 8:39 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-41 - (-88 + -60)) + -151?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by 13532320\nAnswer: 3\/13532320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -4*p**3 - 84*p**2 - 438*p - 276. Determine x(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jdewcdoo. Give prob of sequence jo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is ((-1)\/(-3))\/((-13)\/(-296900 - 7)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34105 is divided by 17045.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*k**4\/9 - 48*k**3 + 206*k**2 - 844*k\/9 + 34\/3 = 0 for k.\nAnswer: -17, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = i**3 - 3*i**2 - 4*i - 2. Let t be k(4). Let a = -64 - -255\/4. What is the nearest to a in -2\/9, t, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 202195 or 202198?\nAnswer: 202198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -5a757 (base 11) to base 12.\nAnswer: -42714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -4540, -18061, -40540, -71947, -112252, -161425, -219436, -286255?\n\"Answer: 5*x**3 - 4509*x**2 - 29*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -3813 (base 12) to base 16\nAnswer: -18cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 3 times 199.696\nAnswer: 599.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38*k**3 - 246*k**3 - k**3.\nAnswer: -285*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -b**3 - 3*b**2 - 3*b. Let c = 4 - 6. Let x be m(c). Solve x*h = 10 - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 71069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 47*f + 13. Let g(y) = -3*y - 2. Let d(b) = -13*g(b) - t(b). Give d(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 4*r**2 - 3*r - 3. Let i(c) = -9*c**2 + 7*c + 7. Let n(q) = -14*b(q) - 6*i(q). Let u(s) = -11*s. Calculate n(u(a)).\nAnswer: -242*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 89*o + 59 + 58 + 54 - 171.\nAnswer: 89*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 42 is divided by 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 49878.36 millilitres in litres?\nAnswer: 49.87836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be 155\/35 + 4\/7. Suppose 2*r - 20 = -2*r + v*f, -r = f - 5. Suppose -r*s + 19 = -2*w, 3*w - 2*s + 15 = s. Sort 1, w, -5 in decreasing order.\nAnswer: 1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -230 + 229.88. What is the biggest value in 2\/5, n, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28391.\nAnswer: 11, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 18 = 4*n, -2*n + 2*s = 2*n - 12. Solve -4*v + i = 1, n*v - 7*i - 10 = -3*i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1013 = 14*a - 2375. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28305373?\nAnswer: 157, 180289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -42\/2711473 and 27\/2780.\nAnswer: 54229460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve r - 9 = 0, 337*g + 3*r + 78 + 15 = 313*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 169, 334, 709, 1408, 2545?\n\"Answer: 19*f**3 - 9*f**2 + 59*f + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -3 - ((-4 - -1) + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 - (-7 - (12 - 7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -155294.1 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*o - 773 - 217 = 0. Let n = o + -91. Which is the closest to n? (a) 0.1 (b) 0.3 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((1 + -4 + (sqrt(252) - -2*sqrt(252) - sqrt(252)))**2 + 3 + 2) + -2.\nAnswer: -432*sqrt(7) + 6130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h**3 + 10*h**2 - 4*h - 13. Let k be p(-10). Let c = -141 - -146. Solve 0 = 2*j - c*o + k, -j + 4*o = -o + 26 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 100 (base 3) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((z**(5\/4)\/z)\/z)\/z**(-1\/6))\/(z*z\/(z\/z**8*z)*z*z\/(z\/(z**(1\/11)*z))*z))**42 assuming z is positive.\nAnswer: z**(-10787\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + -2 + sqrt(684) + sqrt(684) + 1 - -1*(sqrt(684) - (-1 + sqrt(684) + 5)))**2.\nAnswer: -96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*q**2 - 5*q**2 - 4*q**2)*(0 - 3 + 4) + (-2*q + 0 + 0)*(2*q + 4*q - 4*q).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -835 divided by 597?\nAnswer: -835\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1086332*b**2*m**3 + b**2*m**2 + 38*b**2 + 2*b*m - 84*m**2 wrt m?\nAnswer: -6517992*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + y = -12. Let n(p) = -p - 1. Let g(q) = -9*q. Let u(h) = y*n(h) - g(h). Is 7 a factor of u(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (10 + -10 + 9 - (0 - 0 - -3)) + 58\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (24\/(-16))\/(6\/(-16)*1). Solve 4*c - 4 = 2*f, -5*c + i*f + 31 = 8*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17 (base 16) in base 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 127*x + 264*x - 152*x - 2.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000773 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 - 251*o - 3 + 4.\nAnswer: -251*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -106, -445, 303 in decreasing order.\nAnswer: 303, -106, -445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1 + (-2)\/(-12)*-2)*-3. Solve 0 = p*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 1956*h**2 - 16 - 970*h**2 - 7*h - 985*h**2 - 17. Calculate r(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 646 + -71. Suppose -5*u + 10*u = h. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 31379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 39*u**5 - 3477*u**4 - 466*u**2 + 3*u - 1.\nAnswer: 2340*u**2 - 83448*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -s + 4. Let d be i(2). Suppose 0 = y - 2*f - 56, 0 = d*y + f - 31 - 76. Let u = -16 + 30. What is the remainder when y is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.1 - 0.3. Let q = -8 + 13. Which is the nearest to -1? (a) -0.1 (b) x (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2 + -14268421?\nAnswer: -14268418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fddddff. Give prob of sequence ff.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 2593, -4, 2\/67, 1, -5, 0.5.\nAnswer: -5, -4, 2\/67, 0.5, 1, 2593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*j + 1 - 1)*(6 - 1 - 3)*(4 - 4 + 8*j) to f*j**2 + x + m*j and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -5 (base 10) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2750577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -146758*d**3 + 5*d**2 + 70*d + 15701 wrt d.\nAnswer: -880548*d + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 2798, 2777, 2748, 2711?\n\"Answer: -4*u**2 - 9*u + 2811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:29 PM and 5:53 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1, -0.1, -9.1, 0.37, -20, -0.5?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -119 - -55. Let c = 92 + z. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 170*q**3 + 13023 - 13023 + 60*q**3.\nAnswer: 230*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -279054 (base 10) in base 16?\nAnswer: -4420e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -10.02 - -10.52. What is the closest to 2 in 1\/6, 0.56, n?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:06 PM and 10:19 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*m = 97*m + 41 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -110910 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**3 + 3*d**2 - d + 1. Let v = -60 - -58. Let l = 0 - 3. Let t(u) = -2*u**3 - 3*u**2 - 1. Let h(w) = l*j(w) + v*t(w). Determine i so that h(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -22353, -46012, -69671?\nAnswer: -93330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -37660 divided by 2.\nAnswer: -18830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is d in -25*d**3 - 1230065*d**2 - 31473655*d - 18441375 = 0?\nAnswer: -49177, -25, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**3 - 28*r**2 - 147*r - 5104. Give m(-29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does -23 = -414\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 + 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 913 divided by 85691.\nAnswer: 913\/85691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve o**5\/5 + 412*o**4\/5 + 3636*o**3\/5 + 3542*o**2\/5 - 6881*o - 12090 = 0.\nAnswer: -403, -5, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2859803 is divided by 407?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1142?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 154*y + 1476 = -772 + 554 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -90 + 127. Suppose -3*f + x = -2*a, 5*f - 35 + 5 = -3*a. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = f**3 - 4*f**2 - 4*f - 7. Let a be q(5). Suppose 2*b = -4*n + 8*n - 8, 5*b = 10. Let m be 1 - (0 + n - -1). Which is greater: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1148 + 1443. Calculate the highest common factor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4\/(40\/(-5)) + (-3)\/(-2). Calculate the remainder when 49 is divided by (-123)\/(-6) + b\/(8\/(-20)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30\/(-50) + -2*(-670)\/(-100)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -23212110321 - 0?\nAnswer: -23212110321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p - 4*k = -73, 421218*p + 80 = 421223*p + 5*k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2499.78 rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -473*-1741\nAnswer: 823493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2289 = 21*i - 14616. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 4\/(180\/57) + (-12)\/20. Which is the closest to -2? (a) 1\/5 (b) 15 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 10 (b) -5 (c) -3 (d) -2\/3 (e) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 18647 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.1, 9, 2.1, 1, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1021703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1112200100210201 + 1?\nAnswer: -1112200100210200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(288) - (2 + sqrt(288)))*-2 - 3*sqrt(288)*3)**2*-1.\nAnswer: -23344 + 864*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 960 and 20077320?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 + 13 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4.898 - 0.002. Let h = i + -0.1. Let x be ((-488)\/170)\/4 - (-3)\/5. What is the nearest to 2\/5 in -3\/4, h, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 14.24 + -0.24. Let l = r - 13.9. Are 14 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -99\/536 and 13\/14896.\nAnswer: 998032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -7323, -29197, -65655, -116697?\n\"Answer: -7292*a**2 + 2*a - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 604 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*w**2 + 5*w - 1 + 4*w**5 - 3*w**5 + 10*w**3 - 5*w**4 - 2*w**2 = 0. What is w?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 - 3. Suppose -6*r + 8 = -t*r. What is the remainder when 5 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -79*b + 1. Let m be r(1). Let h = m - -103. Let n = -2 - -4. Solve -3*d = n*d - h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 77.45749544 - 77.5375. Let y = 6.92 - 7. Let u = b - y. What is u rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 77106, -4, 6 in ascending order.\nAnswer: -4, 6, 77106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1422124 + -4411?\nAnswer: 1412213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 4*q**2 - 70*q + 38. Let u be l(17). Let o(a) = a - 1. Let x(v) = 3*v - 5. Let m(j) = u*o(j) - x(j). Give m(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1))**(-34)\/(x*(x**(1\/3)\/x)\/x*(x\/(x*x**7*x*x))\/x*x) assuming x is positive.\nAnswer: x**(131\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 1077 = 3*a, 0 = q - 2*a - 130 - 131. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q = 4*q - 3*l - 30, 0 = 3*q + 3*l - 12. Let b be 3\/((-12)\/16)*1\/2. Let o = b + q. Calculate the smallest common multiple of o and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6)\/(15\/(30\/(-4))). Let i be (s\/2 - -1)*152\/5. Calculate the highest common divisor of i and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 342*p - 2584. Calculate m(8).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 157478843 to the power of 1\/2, to the nearest integer?\nAnswer: 12549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*q - q - 18. Suppose 3*n + 7 = 4*n. Let b = -5 + n. What is the greatest common factor of b and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -21 + 20. Which is the closest to -5? (a) 2\/5 (b) -2\/9 (c) y (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 9*n**3 + 38*n**2 - 18*n + 16. Let r(k) = -25*k**3 - 113*k**2 + 53*k - 44. Determine 11*q(j) + 4*r(j).\nAnswer: -j**3 - 34*j**2 + 14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -5*c + 54. Suppose -h - 18 = k, 60 = -5*h + 2*k + 3*k. Let n = h + 35. Calculate the remainder when n is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -41 (b) 111.3 (c) 17 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 663 + -658. Let j(h) = -5*h - 3. Let l be j(-2). What is the second derivative of -31*o + 11*o + l*o - 7*o**q wrt o?\nAnswer: -140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -48*h + 12*h + 8*h + 26*h. Let g(w) = -6*w**2 - 3*w**2 + 3*w**2. Calculate m(g(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2 - (146\/(-28) - -3). Suppose 7*f - 5*f = -4*f. Is j less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 24 (base 13) to base 9\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*i - 45*i - 26*i)*(2*i**2 - 3*i**2 - 2*i + 0*i + 0 + 0 + 2*i**2 + (-2*i - i + 2*i)*(-3*i + 6*i - 5*i)).\nAnswer: -183*i**3 + 122*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.09349 and 368.\nAnswer: 34.40432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 267292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 12*l**3 + l**2 - 3*l + 3. Let v(n) = -4*n - 7. Let d be v(-2). Let f be x(d). Let g be (-3 - (1 + f\/(-3)))*0. What is g rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(32)*-2)**2 + (sqrt(16)*1)\/sqrt(8) + (5*sqrt(8)\/sqrt(4))**2*1.\nAnswer: sqrt(2) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 16032 and -1.31?\nAnswer: 16033.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 3*q**5 + 8*q**5 - 3*q**5 + (7*q**3 - 3*q**3 - 2*q**3)*(0*q**2 + q**2 + 3*q**2).\nAnswer: 16*q**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9768, 9766, 9764, 9762, 9760?\nAnswer: 9758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor c**3 - 176*c**2 - 139825*c + 1129352.\nAnswer: (c - 469)*(c - 8)*(c + 301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -166505 (base 8) to base 3\nAnswer: -10002022200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**(1\/6))\/(n\/(n\/n**7)))\/(n*n*n**(10\/3)*n**15) assuming n is positive.\nAnswer: n**(-157\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c\/(c\/(c\/(c**(-7\/2)*c)*c*c)))*c**(2\/9))**46*c**(-3\/10)\/(c*c\/(c**(-1\/4)\/c)*c)*(c*c**6*c)\/c*c**(-1\/4)*c assuming c is positive.\nAnswer: c**(-8711\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 267007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) be the third derivative of t**5\/30 + 29*t**4\/24 + 7*t**3 - 2*t**2 - 27*t. Let r be n(-13). Solve -2*l - 7 = r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1048460, 19, 9 in descending order.\nAnswer: 19, 9, -1048460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 103*f - 99*f + 3*t + 30, 0 = 14*f + 5*t + 72 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = 3*i - i, -3*i + 33 = -5*z. Let b = 4 - i. Let f(o) be the second derivative of -5*o**3\/6 - o**2 + 3*o. Calculate f(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2121114 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 4542, 4541, 4540, 4539?\n\"Answer: -k + 4543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -720*f**2 + 4*f + 18. Let c(i) = 722*i**2 - 5*i - 21. Determine 6*c(u) + 7*q(u).\nAnswer: -708*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 5*q + 6 = -0, 5*g = -4*q + 10. Suppose 1 - 31 = g*c. Let s be (c\/10)\/((-9)\/114). Calculate the highest common divisor of s and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 5472 = 5481. Solve 7\/2*l**c - 4 - 1\/2*l**4 - 9*l**2 + 10*l = 0 for l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 917.3446 seconds?\nAnswer: 917344600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-21)\/(t\/((((t\/t**(2\/7))\/t)\/t)\/t)))**(-10) assuming t is positive.\nAnswer: t**(1700\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p - 40 - 28. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((494\/(-1014))\/19)\/((-264)\/1287).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11129 is divided by 5564.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that -3*l**4 + 7590*l**3 - 45468*l**2 + 90888*l - 60576 = 0.\nAnswer: 2, 2524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u**2 - 3*u - 5. Let m = 70 - 50. Suppose -14*f = 36 + m. What is p(f)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g = -5*h + 30, -32*h + 30*h = -2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dfwv when four letters picked without replacement from {f: 5, g: 1, d: 1, w: 1, v: 1}?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -27*b**3 - 1. Suppose o = 2*x + 3, -4*o - x + 9 = -o. Suppose 3*t = w + 16, -w - o*t + 20 = -6*w. What are the prime factors of g(w)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + 12 - 4 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 19, 4.\nAnswer: -5, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 545, 1927, 5685, 13007, 25081?\n\"Answer: 198*s**3 - 4*s + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 97 - 94 + 2*g + 3*g.\nAnswer: 5*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20)\/35*(9 + 11\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - c + 6 = 4*c, -x = 2*c - 3. Let g = 5 + x. Put -2\/7, g, -2 in increasing order.\nAnswer: -2, -2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/5, -43338, -2\/15?\nAnswer: -43338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (40\/(-14))\/10*1\/(-2). Which is the nearest to z? (a) 0.2 (b) 0 (c) 2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.318*-847\nAnswer: 269.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-17)\/m)\/(m**20*m) assuming m is positive.\nAnswer: m**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 4*n - 4. Find the third derivative of -11*r**2 - 2*r**n - 4*r**2 + 26*r**4 wrt r.\nAnswer: 576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2533 divided by -2.\nAnswer: 2533\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -359*o. Let h(b) = -24*b - 21*b + 83*b - 20*b - 20*b. Determine h(p(y)).\nAnswer: 718*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r + 19*r - 11540. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -8*v**2 - 49*v + 1. Let r(b) = -2*b**2 + 9*b + 1. What is -3*r(f) + y(f)?\nAnswer: -2*f**2 - 76*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18 - 45 + 19*c - 17*c.\nAnswer: 2*c - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 93\/32 and -79\/1388.\nAnswer: 11104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.2 and -0.445.\nAnswer: -0.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in 1\/4, 310, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 67 + -69 + -3 + (-3 - 0) + 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 10 - -1045375?\nAnswer: 1045405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/((20\/50)\/(9\/(-5))). Suppose 0 = -u*x + x + 16. Let v(h) be the first derivative of h**2\/2 - 6. Calculate v(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1531421 is divided by 49400?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 27.1 in -1, 4\/9, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = f**2 - 5*f + 3. Let m(o) = o**3 - 6*o**2 + 7*o - 5. Let c be m(5). Let s be z(c). Solve -j - 2 = -s*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6894812m in micrometers?\nAnswer: 689481.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is seven sixths of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(245) - (sqrt(245) - (sqrt(245) - (sqrt(245) + (sqrt(245) + 1 + sqrt(245))**2 + 1))))*-4 - ((1*sqrt(165))\/sqrt(11))\/(sqrt(12)*1).\nAnswer: 223*sqrt(5)\/2 + 3928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -720 + -211?\nAnswer: -931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 2*o = p + 10, 2*o + p + 6 = 0. Let t be (-6)\/(-4) + (-2)\/o. Factor -4*k**3 + k - 2*k**2 - 3*k**2 - t*k.\nAnswer: -k*(k + 1)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 9 (c) -3\/5 (d) 3 (e) 64 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, g: 1, k: 1, u: 1, l: 1}. What is prob of sequence lk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 22*w. Let k(o) = -141052*o**2. Calculate i(k(g)).\nAnswer: -3103144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 11965322 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 7\/9 (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t**3 + 5*t**2 - 5*t + 9. Let i be x(-6). Let o = i + -10. Sort -3, 2, o.\nAnswer: o, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*(o*o*o**1*o)\/o)**23*o\/(o*o**(-5))*o\/(o**(-1\/3)\/o) assuming o is positive.\nAnswer: o**(298\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 12722 equal to 8358616\/657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 4*a - 3*a + 22 = 0, -4*a = -12. Let m = 662 + -655. Calculate the remainder when m is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -167160746 divided by 1406.\nAnswer: -118891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*m + 21 = 2. Which is the third biggest value? (a) m (b) 2 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 198172.\nAnswer: 2, 13, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 229, 892, 1941, 3340, 5053, 7044, 9277?\n\"Answer: -6*t**3 + 229*t**2 + 18*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -323 - 34?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 54 - 50. Suppose 0 = k*t + 2*t - 90. Suppose -t = 3*s, 0 = -0*i - 3*i - 4*s - 20. Solve 4 = -i*u - u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -5652277 divided by 1\nAnswer: -5652277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 231592909?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 50.000000401 + -50. Round u to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4.968 + 0.032. Let b be 2\/(-6) + 1\/3. What is the closest to -0.1 in b, 2, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (0 + 1)*1 - (-14)\/(-2). Let h be c\/(-5)*(150\/(-27))\/5. Let r = 5 + -4. Is h less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**3 - 14*s**2 - 12*s + 18. Let g be v(-13). Suppose f = -3*f + 8. Solve -2*c + g*x + 13 = 0, 3*x - f = -2*c + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3 - -7. Let k = 7.28 + -293.28. Let a = k - -286. What is the second biggest value in -1\/2, -2\/5, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 110 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 333763748 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2860*z**2 - 1454*z**2 + 1399*z**2)*(4 - 4 - 2)*(-3*z**2 - 4*z**2 + 6*z**2).\nAnswer: -5830*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -2*x - x**2 + 2*x - 10*x**2 in the form u*x + j*x**2 + b and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -67, -335, -1059, -2467, -4787, -8247?\n\"Answer: -38*t**3 - 2*t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*6*sqrt(91) - (-2*-3*sqrt(91) + sqrt(91)))\/((6*sqrt(70))\/sqrt(10) - (sqrt(28) + sqrt(1792))\/sqrt(4)).\nAnswer: -17*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -359 - -359.3. What is the fourth biggest value in 1.7, -4\/5, i, 1\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:07 PM and 4:37 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 51\/5 - (-175 - -186)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2377 in -3\/5, 3, -125, -0.4, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express f**4 - 2*f + 2*f + (-39 + 39 - 13*f)*(2*f**3 - 1 + 1) in the form g*f**2 + b + w*f**3 + x*f**4 + r*f and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -36 + -8 - -161 - 86.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 + -3 - 13 - (1 - 31475) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 2.9784507 microseconds?\nAnswer: 0.000000049640845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 23601865?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/((b*(b\/((b\/b**(-2\/45))\/b))\/b*b)\/b))\/(b*(b**(-17)*b)\/b)*b\/b**(6\/23)*b\/(((b\/b**(2\/65))\/b)\/b))**(-12) assuming b is positive.\nAnswer: b**(-1012588\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 32*m + 17. What is i(3)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 18 - 2*x**3 - 2*x**2 + 3*x**3 + 166*x - 171*x in the form r*x + o*x**3 + w + t*x**2 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((32\/44)\/8*-1)\/((-1)\/2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -4, -3, -4\/29, 1\/2, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/(a\/(a**(2\/13)\/a)))\/((a\/a**(2\/5))\/a) assuming a is positive.\nAnswer: a**(-29\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4429?\nAnswer: 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 4618796069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (4 - 96\/20)\/(1\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yvbbmlw. What is prob of picking 1 m and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (s + 1 - 1)*(-30 + 18 - 20)*(1 - 2 - 2)*(38 - 24 - 16 - 110*s).\nAnswer: -10560*s**2 - 192*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9296)\/33200)\/((-21)\/10)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be 17\/(-3) + 2\/3. Let s(i) = 7 - 3*i + 8*i**2 - 9*i**2 - 9*i + 6*i. What is the remainder when 35 is divided by s(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1330775595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2619 - 8667 = -84*f. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -342*h**4 + 4*h**2 + 1672 with respect to h.\nAnswer: -1368*h**3 + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -73*w + 70*w = -2*b - 10, 3*b + 15 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:36 PM and 11:40 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -7933937 to the nearest one hundred thousand.\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*sqrt(180)*-2 - ((sqrt(180)\/sqrt(9) - sqrt(5)) + -3).\nAnswer: -49*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -r + 21, -2*r + f + 59 = 2*r. Let z(t) = -t**2 + 18*t + 9. What is the tens digit of z(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 0*q = -3*u + 14723, 4*u = -4*q + 19624. Does 43 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -44466 - -133396\/3. Let m = 0.1 - -0.9. Which is the nearest to g? (a) 3\/5 (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 53513, 213335, 479697, 852599, 1332041, 1918023?\n\"Answer: 53270*f**2 + 12*f + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5642 and 11375.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 140 = 2*d, -x + 0*d + d = -25. Suppose -m - 40 = -5*q, -2*m = -q - 5*m + 8. What is the remainder when x is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 10 = -7*d. Suppose 5*r - 22 + 0 = -3*m, -m = -d*r + 26. Let l be (-3)\/(((-21)\/2)\/(-7)) + 2. Solve 0*n - r*n = l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5462?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0 - 9 - -5 - (-1 - (2 + -1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (5\/25)\/(2\/4). Let c = -2.06 - -0.06. Let i be (4\/6)\/((-4)\/(-6)). What is the smallest value in l, c, i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from plprlpppplrrplpl. Give prob of picking 2 r.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 14*v + 1. Let c = 28 + -27. Suppose -c - 2 = -3*y. Determine s(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -57 + 81. Factor 2*v**3 - k*v**4 - 8*v**3 + 3*v**2 + 3*v**4 + v**5 - 13*v**5.\nAnswer: -3*v**2*(v + 1)**2*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -52285, -52280, -52271, -52258, -52241?\nAnswer: -52220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 470598311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1b61 + 3023?\nAnswer: 12a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 385 or 386?\nAnswer: 386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -486667 (base 9) in base 12?\nAnswer: -121ab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 47115 + -47115.0000031541. Round v to 7 dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000074409928 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 202102 - -11?\nAnswer: 202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (156\/(-8)*65\/((-2925)\/(-10)))\/(3*1)?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 18377 and 3519.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*b**3*f*u + 9649*b**3*u + 2*b**2*f*u + b**2*f - 17*b**2*u + 7*b*u wrt b?\nAnswer: 12*f*u + 57894*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 250 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.013309249823 to six dps.\nAnswer: -0.013309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 47, 168, 291, 416, 543, 672, 803?\nAnswer: 936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -0.15 + 16.4\nAnswer: 16.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 4864.191, -23 in ascending order.\nAnswer: -23, 5, 4864.191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 930, -9, 5?\nAnswer: 930","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 578476517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00131494 rounded to 5 decimal places?\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be (72\/(-32))\/((-19 + 23)*6\/(-160)). Solve -f*z = 3*z + 18 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((g**8)**(-1\/5))**44)**9)**(4\/21) assuming g is positive.\nAnswer: g**(-4224\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 2*o**2 + 2*o + 1. Let b(u) = 364*u**3 - 13*u**2 - 9*u - 2. Let m(z) = -b(z) - 5*n(z). List the prime factors of m(-1).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -623, 3, -212, -3, -4.\nAnswer: -623, -212, -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 32 and 11056.\nAnswer: 22112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 27*y + 73*y + 3*y in the form w*y + u and give w.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -492 + 485 + (-27 - -11)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 14\/5 - 2\/15*u**2 + 8\/15*u.\nAnswer: -2*(u - 7)*(u + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -5, 39, 2\/11, -770, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 14916 and 3?\nAnswer: 14916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 109 + -47. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 38*f - 36*f + 5771*f**2 - 5430*f**2 in the form k*f + o + s*f**2 and give s.\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8 - 11. Let l(y) = y**3 + 3*y**2 - 3*y + 4. Let q be l(f). Suppose 152 = 5*i - q. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {z: 2, d: 8, p: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -2, -1529, 4, 7, 1 in decreasing order.\nAnswer: 7, 4, 2, 1, -2, -1529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -861\/17 > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1783?\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2781735 and 29700.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -3*w. Let k be v(-8). Suppose k = -2*u + 4*u. Calculate the smallest common multiple of u and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -19\/341 - -2789\/25575. Which is greater: -4\/9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 819408000 rounded to the nearest one million?\nAnswer: 819000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 67\/12 and (-1350)\/(-344) + (1 - 5).\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**3 - 7*l**2 + 6*l + 5. Let i be t(6). Suppose 5*y - 24 = 2*c, 2*y + c = -3*c + 24. Solve y*k - i*r = 3*k, -k = 3*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g such that 2*g**2 + 22*g - 84 = 0.\nAnswer: -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 355034 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 4\/5, -15, 2, 2\/5, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - i = 2*n - 2, -3*n + 2 = 5*i. Suppose -9 - 1 = -2*y, -2*a - 2*y = 506. Let v = 252 + a. Which is greater: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(2 + 6*((sqrt(200) + -1 + sqrt(200))*-2 - (sqrt(200) - 1*(sqrt(200) + sqrt(200)*2))))**2.\nAnswer: -6720*sqrt(2) + 57992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put together -21.1 and -0.6.\nAnswer: -21.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-64)\/(-10) - (-10)\/(-25). Let j(a) = 3*a - 2. Let p be j(-8). Let h be 4*(-6)\/(-156) + 4\/p. Solve x*n - 2*n + 4 = h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 2*q**2 - 3 + 1 + 5 - 2 + 3*q. Let c = -16 + 15. Let t be z(c). Solve t = -3*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 - 2.4. Let f = -77 - -89. Let d = 7 - f. Which is the third smallest value? (a) d (b) 0.6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 33416635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -3*h. Let p(a) = -a + 6. Let b be p(-8). Let c(o) = -b*o**2 + 160 - 78 - 82. Calculate r(c(k)).\nAnswer: 42*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, e: 7, o: 3}. What is prob of picking 1 p and 2 o?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 8, y: 3}. Give prob of picking 2 s and 2 y.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = 14 - -9. Let y = -1 + f. What is the remainder when 64 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-17)\/6 + (-170)\/(-204)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*2*(sqrt(17) + -2*sqrt(17) + sqrt(17)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 30*a**2 - 46*a + 212. Calculate the remainder when h(4) is divided by 128.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -2876?\nAnswer: -2876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -y**2 + 7*y + 3. Let i be x(7). Suppose 0 = -13*u - 301 + 275. Sort -39, i, u in decreasing order.\nAnswer: i, u, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1, 13, 0.4, -2.6, -7\/87?\nAnswer: -7\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -39497, -78996, -118495, -157994, -197493?\n\"Answer: -39499*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = -4*t + t - v, 0 = -3*t + 2*v + 5. Suppose 2*u - 4*u = -3*y - 13, y = -5*u - 10. Let o be (2 - (2 - 2))\/12. What is the nearest to t in o, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.9 take away 20?\nAnswer: -19.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -148157*i = -148263*i + 424 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -715*h**2 - 1294*h**2 + 1396*h**2 + (-4*h + 0*h + 3*h)*(-3 - 1 + 3)*(2*h + 0*h + 4*h) to p*h**2 + y*h + x and give p.\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 99.31051 litres?\nAnswer: 99310.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the third derivative of -j**4\/12 - 9*j**3\/2 - 1755*j**2. Give d(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-2*sqrt(121)*-6 - sqrt(121) - sqrt(121))*2)\/((sqrt(99)*-2 - sqrt(99)) + (-2*sqrt(176) - sqrt(176)))*5)**2.\nAnswer: 110000\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 27 = -5*z, -z - 6 = -0*t + t. Is 2 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(272))**2 - (sqrt(425) + -1).\nAnswer: -5*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 8078743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3875, 7734, 11593, 15452, 19311?\nAnswer: 23170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0.1 times -164\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -54, -0.64, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 210*p + 0*p**2 + 586*p**4 + p**2 + 4 - 172*p**4 - 210*p as n*p**3 + d + m*p**2 + c*p**4 + v*p and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 569278003?\nAnswer: 7, 151, 538579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 + 5 - 5*f)*(-7 - 23 + 5) + 6*f - 3*f - f in the form d + m*f and give m.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 402 (base 6) to base 12.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 81.7086 millilitres in litres?\nAnswer: 0.0817086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**3 - 5*s**2 - 7*s - 10. Let q be g(-4). Suppose 0*u = u - q. Let f be (-12)\/(-9)*1 - u\/(-3). Solve 4*w = p - 11, 0 = 2*p - 4*w + f*w - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1386730951?\nAnswer: 43, 32249557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 13 = x, 5*y + 17 = x + 7*y. Let b(h) = h**3 + 8*h**2 + 6*h - 4. Let q be b(-7). What is the derivative of -12 - q + 4*c - 6*c - x*c wrt c?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 11 - 11.13. Let i = -12.93 - z. Let m = i - -14. Round m to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -1318*j + 8. Let v be x(6). Round v to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 2*t + 168 = 4*o, -t = -3*o - 34. Let b be (19 - 29)*(-2)\/(-4). Let g = t + b. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from asaasssswzwbazzwbwa. Give prob of picking 2 w.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -48, 5, -1\/5, -0.5, 2\/83, 11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 29742\/29 or 1027?\nAnswer: 29742\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -10161 or -10151?\nAnswer: -10151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8.8 + -1.8. Let z = t - 6.4. What is the smallest value in 0.4, -2\/13, z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jzap when four letters picked without replacement from {j: 2, p: 4, c: 3, a: 3, z: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 9*w = -6*w + 1, 5*k = w + 4. Which is smaller: -30 or k?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the second derivative of r**5\/20 + 3*r**4\/2 - 23*r**3\/6 - 2*r**2 - 8*r. Let o be f(-19). What is the greatest common divisor of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*f + 1 + 135*f**2 + 3*f**3 + 3 + 11*f - 3*f**4 - 2 - 134*f**2 as v*f**3 + s*f**2 + b + d*f**4 + y*f and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = -6*b + 9*b. Suppose 7*c + 700 = b*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:08 PM and 5:09 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 11\/4 of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16*7\/(-5)*3\/4*(-280)\/84?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.2, -6, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 16 = -4*g, -2*q + 71 = 63. Let j(s) = 4*s**2 - 2*s + 1. Let o be j(1). Solve -o*p + 7*p - g = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 120*j + 42 = 99*j. What is the closest to -13 in j, -7, -2\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 + a**2 - 3)*((-6 + 3 + 0)*(-4*a + 6*a + 0*a) - 17*a + 10*a + 8*a) to the form k*a**2 + s*a**3 + v + f*a and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 7*q**2 - 22. Suppose 9*g + 3 - 21 = 0. Let p(b) = -4*b - 34 - 9 + 14*b**g + 4*b. Let u(k) = -11*l(k) + 6*p(k). What is the derivative of u(x) wrt x?\nAnswer: 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(6\/11)\/(c**(-22)*c))\/(c**(-13))**(8\/7) assuming c is positive.\nAnswer: c**(2803\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = -492398244 - -492398370.0000316. Let k = n + -126. Round k to six decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.74 - -1.14. Which is the biggest value? (a) 4 (b) s (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, s: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -858, -1721, -2584, -3447, -4310, -5173?\n\"Answer: -863*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -197 - -353. What is the highest common factor of 52 and a?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 24422330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-940)\/68 + (-4116)\/(-294)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) be the first derivative of 5*m**2 + 95*m - 53. What are the prime factors of a(19)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 4*f = f + 100, -2*x + 41 = -f. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1098*d**4*x + 339*d**2*x - 1813*d*x + 16*d - 10*x wrt d?\nAnswer: -13176*d**2*x + 678*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -3*j**2\/5 + 1324593306*j\/5 - 146212285525000803\/5 = 0.\nAnswer: 220765551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3267 and 3124440?\nAnswer: 34368840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in twenty-seven halves of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:39 PM and 1:43 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/110)\/((-136)\/374).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j + 8*j = -5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 21 = 9. Factor 0 - 1\/4*t**2 - 1\/4*t**3 + 1\/4*t**s + 1\/4*t.\nAnswer: t*(t - 1)**2*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -2 + 10\/4 + (-90)\/(-4). Let w = 24 + 45. Calculate the highest common divisor of w and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -13 + 17. Sort 0.09, p, -2, 2\/3.\nAnswer: -2, 0.09, 2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*f - 2*f + 5*f + 4*f - 4*f + 2*f + (2 + 4 - 5)*(f + 2 - 2) + f - f + 2*f - 4*f + 3*f + 2*f - 4*f + f - 2 + 2*f)*(-57*f + 36*f - 20*f).\nAnswer: -246*f**2 + 82*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-60)\/25 - -2)*5. Let y = 259 - 259.5. What is the second biggest value in v, y, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g**2 - 12*g + 14. Suppose -2*k - 77 = 5*n - 6*k, -5*k = -15. Let t be d(n). Is t < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1475, -1474, -1501, -1556?\n\"Answer: -14*j**2 + 43*j - 1504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 21 (base 5) to base 11\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 5\/((-1035)\/18)*-1\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p, 1 h, and 1 c when three letters picked without replacement from lthpc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.149, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 210534794?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -12*f - 15. Let m = -2274 + 2267. Let y(w) = -4*w - 5. Give m*y(c) + 2*u(c).\nAnswer: 4*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**2 - 16*k + 28. Let j be a(14). Solve b - 5*s - 16 = 0, j*b = 3*b - 3*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26014001 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(-22)*2*88\/132.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 1 q, and 2 f when four letters picked without replacement from fqffccqccccqcccqccf?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 20204 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 195\/739589 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -155\/1155792 and -31\/1155792?\nAnswer: 1155792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19998*r = 19962*r + 455328. Is 31 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4010880 is divided by 536.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-7 - -3) + 0 + 11. Let h = -7 + w. Let y(t) be the first derivative of t**3\/3 + 15*t - 1. Give y(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -1. Let k(b) = -b + 14 + 7 - 17. Determine 3*k(u) + 12*y(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = -222 - -251. What is the remainder when 112 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*f = -4*f - 75 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = -2*z - 12, 73*v = 2*z + 74*v + 18. Let x = 0.06 + -2.06. Let w = -2.4 - x. Which is the nearest to -0.1? (a) -0.2 (b) w (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.15, 0.03, 0.07, 5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 28497 + -28484. Solve -15*r - 8 = -l*r, -4*t = 3*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 4*i - 21. Which is the second biggest value? (a) 0 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 480*q + 389. What is the tens digit of c(20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in -2\/9, 0, -0.3, 11184, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2477686727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 2852931 to the power of 1\/2, to the nearest integer?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b**2 - 7*b - 6. Let w be (-23)\/2 + 2\/(-12)*-3. Let o(h) = -4*h - 80. Let i be o(w). Let n = -28 - i. What is v(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*w = -2*t - 5*w - 3, 0 = -4*t - 3*w + 7. Let k be 2 - 4\/(-1 + 2). Let g be -1 - (20 - k - t). Which is smaller: -20 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -12.23, 4\/7, -6, -8 in decreasing order.\nAnswer: 4\/7, -6, -8, -12.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c**3 + 5*c**3 - 3*c**3)*(-c - 1 + 1) + 0*c**4 - 2*c**4 + 10*c**4 + 2*c**4 - 4*c**4 - c**4 + 3*c**4 - c**3 + c**3.\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eqzeeqekqekggeqqr. Give prob of picking 2 g and 1 e.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -g**2 + 6*g - 6. Let b be a(4). Let z(v) = 4*v + 49. Let l be z(-15). Let i = 26 - l. Solve 3*t + t - i = -5*u, 0 = b*u + t - 13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x - 5*m + 36, -3*x = 2*m - 11 - 9. Let n = -3 + x. Let g be (-2)\/((-6)\/45*n). Solve -5*b = -8*b - g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y\/(y*y**(2\/33)\/y))\/y)\/(y**(-2\/5)\/y)*y*y\/y**16*y**(-2\/21))**(-5\/11) assuming y is positive.\nAnswer: y**(4911\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 49 = -x, -y + 5*x + 5 = -16. Suppose -y = -5*d + d - 4*w, -2*d + 23 = -w. Suppose z - 8 = -d. Sort z, -5, -3 in increasing order.\nAnswer: -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find z such that -201\/4*z + 39\/2 + 15\/4*z**2 = 0.\nAnswer: 2\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10067 + a**2 + 20132 - 10065.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -11*d - 727. Determine m(77).\nAnswer: -1574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(18) - (sqrt(50) + -1).\nAnswer: -2*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 4170.513l in millilitres?\nAnswer: 4170513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7285.\nAnswer: 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 1493*y + 5. Let b(r) = -4*r. Calculate b(m(n)).\nAnswer: -5972*n - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 93730000 rounded to the nearest one million?\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -120102 - 101?\nAnswer: -120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2 - -2) + (-4 - (4 - 17)). Suppose 0 = a*x + 43*x + 5782400. What is x rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t - 15936*n - 5 = -15940*n, 0 = 5*n - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -228*z + l + 27 = -225*z, -5*z + 4*l - 8*l + 11 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 314, 616, 916, 1214, 1510, 1804, 2096?\n\"Answer: -m**2 + 305*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 29698 - 8700. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -11.1 + 11. Let x = 0.09999978 + y. What is x rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-9*(-11)\/99)\/(2\/922)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 687.464nm?\nAnswer: 0.687464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*a + 2*a + 2*a + (-1 - 1 + 3)*(-5*a + a + 3*a) + 0*a + 24*a - a.\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*p = -16*p + 53170. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 5*w**2 - 7*w + 5. Let y(n) = -5*n**2 + 6*n - 4. Let h(s) = -5*r(s) - 6*y(s). Let v be h(-1). What are the prime factors of (-6)\/v*(-130)\/4?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes after 8:18 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 5012210 a multiple of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 8*u**2 + 1 + 5.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 - 4 - 2*k**2 + (-1 - 2*k + 1)*(0*k + 2*k + 0*k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n = -5*b - 29, -6*b - 960 = -n - 921 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -449, -891, -1331, -1769, -2205?\n\"Answer: z**2 - 445*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/7, 0.5, 0.056, -3, -1\/7 in decreasing order.\nAnswer: 0.5, 0.056, -1\/7, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -10002271*b**5 - 8488*b**2 + 12*b.\nAnswer: -600136260*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 6197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1.79 and 19994987.31?\nAnswer: 19994989.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 10*n**3 - 2*n**2 - n. Let k be t(-1). Let i = k - -9. Let u(f) = 4*f**2 - f**3 + 4*f + 2 + 0*f + 2*f**3. Give u(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 3) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*p**2 + 33*p - 5*p**2 - 33*p.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -11*t**2 - 26*t - 3. Let b(g) = -4*g**2 - 9*g - 1. Determine -17*b(x) + 6*c(x).\nAnswer: 2*x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = 11\/2 - 81\/14. Which is the nearest to h? (a) -3\/4 (b) -5 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 87 + 0. List the prime factors of r.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 41974 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -30041955 take away 0.088493?\nAnswer: -30041955.088493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(1\/3)*r)\/r)\/(r\/(r\/(r\/(r**(-13)*r*r))))*((r*r*r**(2\/39))\/r*r*r)\/(((r\/(r**(-6)*r))\/r)\/r) assuming r is positive.\nAnswer: r**(-164\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 8404 - 7777. Are -0.7 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1653381.15 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 600781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = u - 4*i, u + 16 = -u - 4*i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from adyqaqdqqay. Give prob of picking 2 a, 1 d, and 1 q.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 148 minutes after 2:12 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 4, l: 14}. What is prob of sequence qlqq?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11885 = 3*r + 5*q, -2*r = -6*q + 4*q - 7918. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -p**3 + 9*p**2 - 4*p + 37. Let m be g(9). Suppose -2*l - 57 = 4*q - 3*l, -q - 15 = -l. Let f be (-8)\/q - (-2 - -3). Which is smaller: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - (-9 + (-38 - -39))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2583)\/492)\/(4\/(1792\/24)).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(44) + 2*sqrt(44) + 1 - sqrt(44)) - ((sqrt(198)*2)\/sqrt(9))\/(sqrt(288)*1 + sqrt(288))) + -5.\nAnswer: -241*sqrt(11)\/12 - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*f + 2 - 2)*(0 - 4 + 3) + (152 + 578 - 1173)*(-3 + 2 - 1)*(0 + 0 - 2)*(-2*f - 3*f + 3*f).\nAnswer: 3542*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 9084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1385.\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -202110100 + -110?\nAnswer: -202110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = -49 + -39. Let b = -87.99999999 - w. What is b rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -2 and -8.4.\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 12\/65 and 76\/117.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 3*d**2 + d + 9. Let n(z) = -5*z**2 - z - 13. Let y be 1*(-3)\/(-6)*-10. Let q(l) = y*n(l) - 7*a(l). Let v(s) = 3*s**2 - 2*s + 2. Give 5*q(c) - 6*v(c).\nAnswer: 2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8156 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -23 - -22. Which is greater: r or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 165 and 14190.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 2978034074 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 42796, 171081, 384870, 684169, 1068984, 1539321, 2095186, 2736585?\n\"Answer: q**3 + 42746*q**2 + 40*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 19498 = -19535. Solve 4*f - i = -6*q + q, -35 = -4*q - 5*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -7*g**2 - 1402*g + 1404*g + 10*g**2 - g**3. Let m be z(-1). Solve -35 = m*a - 5*p, 0 = -4*a - 0*p - 3*p - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 3*d**2. Let o(p) = -p - 8. Let u(w) = -w**3 - w**2 + 2*w - 10. Let g be u(0). Let h be o(g). Let s(i) = 0*i - i + 5*i + h*i. What is k(s(v))?\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -1090.962962 to one decimal place.\nAnswer: -1091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 2*l = 13 + 17, q + 5*l - 29 = 0. Suppose -4 = g - 3*g - q*m, -3*g = 4*m - 6. Solve -4*t + 23 = 5*h - 0*t, 0 = h - g*t + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*a = 179415 - 18779436. Let r = a - -4886669. What is r rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 140153 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 10 = -l, 29 = 8*l - 3*l - 4*k. Let t(p) = -26*p**2 + 32*p - 14. Let g(u) = -17*u**2 + 21*u - 9. Let m(f) = l*t(f) - 8*g(f). Factor m(v).\nAnswer: 2*(v - 1)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the first derivative of -9*y**2\/2 + 3*y + 429. Let n(v) = -3*v + 1. Let h = -15 - -4. Let d = -8 - h. What is d*c(z) - 8*n(z)?\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -262*-145999\nAnswer: 38251738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + 0 - (-6 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -13*u + 14 - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x - 3*y - 3, -x = 3*y - 4 - 1. Let b(t) = 2*t + 4. Let h be b(x). Solve 0 = -3*a - h + 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/(1 - 5\/40*-4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.1 (b) -235038 (c) 0.2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -8242119 + -0.9?\nAnswer: -8242119.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 160 minutes before 9:35 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -95894880882 + 1.4.\nAnswer: -95894880880.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3517 and -2?\nAnswer: -7034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 297444?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:52 PM and 4:52 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 879*v - 15310 = 2270 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 7477957 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5760.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 3*r = 23. Let o = 19 - r. Suppose -6*a = 117 - 135. What is the nearest to 3\/5 in o, 4\/3, a?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1449 a factor of 140507157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (57 - 11 - 26)*(120 + 16*d - 120)*(2*d - 3*d + 3*d)*(d + d + d) as r*d + s*d**3 + h*d**2 + q and give s.\nAnswer: 1920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 1024*j**2 - 1065*j**2 + 15*j - 15*j + 1 in the form o*j + z*j**2 + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 70767 (base 8) in base 7?\nAnswer: 151026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum -21907017 and -0.4.\nAnswer: -21907017.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/4)\/((-129)\/5418)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 37*k**5*t + k**3*t**2 + 3*k**3 - 2064*k*t**2 + 2*k*t wrt k?\nAnswer: 740*k**3*t + 6*k*t**2 + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -3291, -3296, -3305, -3318?\n\"Answer: -2*x**2 + x - 3290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -42 divided by 2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3 - -1)*3914\/(-76). Suppose -2*v + s = -5*q, 3*q - 6*q = -v + 51. What is the smallest common multiple of 15 and v?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(91) + (-2*(1*sqrt(91) + sqrt(91)) - sqrt(91)) + sqrt(91) + sqrt(91))\/((sqrt(63)\/(sqrt(9) + sqrt(144) - sqrt(9)) - sqrt(7)) + sqrt(7)).\nAnswer: -8*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 3\/2, 0.5, 9, 6\/7, 0.3, 101.\nAnswer: -5, 0.3, 0.5, 6\/7, 3\/2, 9, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 491457 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 960?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -30048, -30046, -30044, -30042, -30040, -30038?\nAnswer: -30036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d = -4*f - 4 - 0, 5*d = 5*f + 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + (-3 + sqrt(475))*4)**2 + 3)*3*-1.\nAnswer: -23001 + 960*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:20 AM and 8:29 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 10 = 18. Suppose -10 + 52 = s*q + 4*z, 3*z = q - 31. Solve 0 = 4*l - 5 + q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2254, -2568, -2882, -3196?\nAnswer: -3510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*h - c - 11, -4*h + 4*c = -2084 + 2088 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 82940 and 7091370.\nAnswer: 14182740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6\/211 - 730\/4009. What is the closest to 1 in v, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1091251 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**2 - i - 5. Let k be (-4)\/((-16)\/12) + -3. Let c be m(k). What is the nearest to -0.02 in -4, c, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26486817?\nAnswer: 3, 7, 19, 66383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -173\/510972 and -173\/504.\nAnswer: 3065832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2)\/6 + 1160\/24 + -4. Suppose 0 = 5*m - 8 - 2. Let f be ((-1)\/((-1)\/q))\/m. Calculate the greatest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -50, -113, -190, -287, -410, -565, -758, -995?\nAnswer: -1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 5*m - 6. Let i = -12 + 14. Let p be q(i). Let h(l) = -2 - p + 2*l**2 + 6. Let s(t) = -t**2. Determine h(s(f)).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 211\/235585350 and 46\/917865.\nAnswer: 706756050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Are -12\/13225295 and -0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -i**2 - 17*i - 14. Suppose 10*z = -0*z - 160. Let c be m(z). Suppose 40 = g + v + c*v, -2*g - 3*v = -65. Solve -g = s + 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 36 - 22. Suppose 3*j = 1 + q. Suppose 0*v - j*v = -995. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -11.7109 and 5468.41.\nAnswer: 5456.6991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3752 is divided by 1476.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in -5\/2, 1, 3\/4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s**(-1\/9))\/s*s\/(s*s\/s**(-3))*s)**(1\/5) assuming s is positive.\nAnswer: s**(-28\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1680?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the first derivative of -z**4\/4 + 5*z**3\/3 + 2*z**2 - 2*z + 1. What is i(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (10\/840)\/((-2)\/(-16)*-6) and -25\/99?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7442251?\nAnswer: 137, 54323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 181066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 20 = -5*d + 4*h, -4*h + 20 = 5*d. Solve 0 = -5*k + d*k + w + 1, -4*k + w + 10 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*y = -2*y + 2358. Let c be 2*(y\/4 + (-5)\/(-5)). Let z = -10 - c. What are the prime factors of z?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = j**3 - 27*j**2 - 41*j + 356. Calculate b(28).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 214, 429, 644, 859, 1074?\n\"Answer: 215*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + ((4*(4*-2*sqrt(99) - (sqrt(99) + (-2*sqrt(99) + sqrt(99) - sqrt(99) - sqrt(99))*5)))\/(-2*5*sqrt(27)\/sqrt(3)*1))**2)*5.\nAnswer: 1684\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2888, 2790, 2566, 2210, 1716, 1078, 290, -654?\n\"Answer: -i**3 - 57*i**2 + 80*i + 2866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 738840891*u**3 - 235208391*u**2.\nAnswer: 4433045346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the first derivative of 3*j**5\/5 - 18*j**4 + 118*j**3 + 468*j**2 + 507*j + 116. Factor q(h).\nAnswer: 3*(h - 13)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b = -2*b + 2. Calculate the least common multiple of b and (243\/405)\/((-3)\/(-255)) + 4.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 124620435 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l + 16303 = -36*p + 15689, 5*p = 5*l - 90 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 642*h**4*u - 130*h**4 + 5*h**3 + 329*h**2 - 2905*u wrt h.\nAnswer: 15408*h*u - 3120*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = z - 5*z - 8. Let u = 84.19 - 84.19. What is the biggest value in z, 15, u, 0.5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = t**3 + 8*t**2 - 8*t + 9. Let c be b(-9). Suppose 2 = z - c*z. Suppose -3*s = -z*f - 20, -5 = -s + f + 2. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 13 = -5*z, -5*j - 2*z - 9 = -10*j. Let s(b) = 13*b**2 - 5*b + 3. Let p be s(j). Solve -4*h - 7 + p = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -y = y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/(-2) + 1 + -3. Suppose -5*y = 5*z - 50, d*z + 5*z = 4*y - 85. Let b = 29 - y. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53 a factor of 92122469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(675)*1)**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(216) + sqrt(216) + 4*sqrt(216))\/sqrt(12) - 4*sqrt(18)*3)\/(4*sqrt(3600)*2).\nAnswer: -3*sqrt(2)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 176*t - 219*t + 4217 = -1072. Is t <= 123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate -107*(52\/156)\/((1\/8)\/(66\/176)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(13) + 3 - (4 + sqrt(637))) + 2)**2.\nAnswer: -24*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 11384 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2076 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**2 - 14*k + 5. Determine q(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*j = 30 + 1266. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 * -1184280.\nAnswer: 236856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 16 - -8. Let b = d - 9. Solve m + b = 4*m, t = 4*m - 17 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 7a0 + -31d66?\nAnswer: -315b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 10 = -n, -13 = -4*t - 0*t + 5*n. Let h(o) = 36*o**2 - o - 1. Let y be h(-1). Is (-10)\/t*y\/5 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 44*r + 664 = 312 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 494126?\nAnswer: 2, 107, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20023 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16\/6*(-6)\/(120\/(-5)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 287465181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 108 + (99 - 96 - (23 - 5)) + 0 + 6?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, l: 2, s: 4, z: 1}. Give prob of picking 2 l and 1 z.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -134 = -5*p + 46. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 2 + 10 - 7 - 2*x + 2*x**2 - 3*x - x**2. What is g(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes before 11:48 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = 105 + -102. Suppose z*w = 5*o + 2*w + 1088, 3*w - 1094 = 5*o. Let q = -111 - o. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*u**2 + 617130*u**3 - 1234274*u**3 + 617132*u**3 - 2*u**2.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (-18 + 9 - -10)*1\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in -2\/7, 0.4, -3, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 9*b**2. Let l(s) be the first derivative of 10*s**2 - 11*s**2 - 3 - 2 - 8. Give l(w(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f + 28 = -4*u, 2*f - 5*u = 8 + 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r be 468\/32 + 6\/16. Solve 0 = -2*f - f + r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 2, w: 10, x: 4, g: 4}. What is prob of picking 1 x, 1 g, and 2 w?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -58738, -117158, -175556, -233926, -292262?\n\"Answer: z**3 + 5*z**2 - 58442*z - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of a**2*b**5 - 34*a**2*b**3 - 510*a**2*b wrt b.\nAnswer: 20*a**2*b**3 - 204*a**2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-21 + 7)*14\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d**2 + 281960*d - 3975072080 = 0 for d.\nAnswer: 28196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 32 + -30. What is the closest to 4 in 0, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(931)*1*-4 - sqrt(931))*2 - (-3 + (sqrt(931)*2 - sqrt(931)))*-3)**2.\nAnswer: 882*sqrt(19) + 45700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3920*x + 83969 + 33631 = 0 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2045*-91*(-20)\/350?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-15)\/840*-21)\/(10\/((-280)\/(-119)))?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 139275 is divided by 2990.\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:37 PM and 6:36 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 160 and 0.024?\nAnswer: 3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(153)*-5)\/(sqrt(90)\/(sqrt(10)*2)).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lwn when three letters picked without replacement from gnlwwnw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -176.02 minus 96098.4054?\nAnswer: -96274.4254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 1 + 7.532\nAnswer: 8.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 21597906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 7*t**2 - t. Let z = 4 - 1. Let g be i(z). Let q = g + -1. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*u + 3*u - 5*u)*(-91*u + 243*u - 44*u)*(-u**2 + 4*u**2 - u**2) in the form b*u**2 + v*u**4 + m + l*u + t*u**3 and give v.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 3*u = -0*c + 11, -16 = 2*c - 2*u. Let b = c + 1. Let v = b + 8. Solve 0 = v*f + 9 - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (30\/12)\/((-6)\/4)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 3955776 divided by -1056\nAnswer: -3746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mhdmmjcmdhemmmjhh. What is prob of sequence memh?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = d - 3*d + 76. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 2*g**2. Let y(h) = 48*h + 7. Let t(c) = -50*c - 6. Let j(k) = -7*t(k) - 6*y(k). Calculate j(z(u)).\nAnswer: 124*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 - -1. Let h = -1099\/3 + 2225\/6. Suppose h*l**3 + 3\/2*l**5 + q - 3\/2*l**2 - 9\/2*l**4 + 0*l = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(88)*2 + sqrt(88) - (2*sqrt(88) + sqrt(88))*4)\/(2*-1*sqrt(1152) + sqrt(1152)).\nAnswer: 5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f*f*f**2)**(-1\/10))**(-20) assuming f is positive.\nAnswer: f**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-2)\/12)\/(((-3)\/(-15))\/((-88)\/220)). Put u, 0.3, 0, -8112 in increasing order.\nAnswer: -8112, 0, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -120 divided by 7\nAnswer: -120\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 1537*u + 122987. Give o(-80).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 25 and 3905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1)\/(-2) + (9\/(-6) - -3). Let a be (-11)\/(v + 45\/(-22)). Differentiate -a + 15*s + 227 + s wrt s.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 1 + sqrt(525)\/sqrt(7))**2.\nAnswer: 50*sqrt(3) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 513707*q**3 - 7*q**2 - 2873235*q wrt q?\nAnswer: 3082242*q - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.79663149 rounded to 4 dps?\nAnswer: 0.7966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Add together 1 and 6426.\nAnswer: 6427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -151*h**2. Let b(j) = j + 2. Calculate s(b(x)).\nAnswer: -151*x**2 - 604*x - 604","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = q, l + 4*q + 32 = 5*l. Suppose 22 - 13 = l*z. Suppose 2*p = -4*m + 54 + 88, z*m + p - 104 = 0. Solve 2*o + 2*o = -2*w - 2, 5*w = 4*o - m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 3*y - 2 = 0, 112*r - 114*r - y - 2 = 0. What is the closest to r in 3\/4, -2, 3\/19, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -7 + 5 - 4*l**2 - 5*l - 11*l**2 + 14*l. Let b(r) = -7*r**2 + 4*r - 1. Suppose 1 + 25 = 2*u. Give u*b(f) - 6*z(f).\nAnswer: -f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1319 + -26?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n*n*n**(-14))\/(n\/n**(2\/3))*((n\/n**(3\/7)*n)\/n)**(-1\/21))**(2\/5))**42 assuming n is positive.\nAnswer: n**(-7268\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = 39 + -24. Let q = 10 + -6. Suppose q*n - 25 = -n. What is the highest common divisor of m and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -141*r - 1263. Let y = 15 + -2. Suppose 2*a - 3 = y. Calculate the smallest common multiple of a and m(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -302739, -302760, -302783, -302808, -302835?\n\"Answer: -f**2 - 18*f - 302720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 655 a factor of 72959871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 288.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 77 + -258. Let x = 228 + b. Sort -2, x, -1\/3.\nAnswer: -2, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 42667976 divided by -13.\nAnswer: -3282152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11562.\nAnswer: 2, 3, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 3*o - 1571 = 0, -3*z + 3*o + 1423 + 938 = 0. Suppose 0 = -3*d + 6673 - z. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.1 - -0.3. Let j = l - 0.3. Let a = 8515\/2 + -4259. Sort 1\/5, a, j.\nAnswer: a, j, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 135793.\nAnswer: 7, 19, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 287 = -k, 772 + 113 = 3*k - 3*m. Calculate the remainder when k is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*j - 163 + 100 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 31*h**3 - 5*h**2 - 5*h + 1. Let g(t) = 29*t**3 - 4*t**2 - 4*t + 1. Determine -5*g(a) + 4*v(a).\nAnswer: -21*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 108 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -47*v**3*w**3 + 5670*v**3 - 7*v**2*w**3 + 38*w**2 + 84*w - 1 wrt v?\nAnswer: -282*w**3 + 34020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 322 times -0.942974\nAnswer: -303.637628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the first derivative of 13*j + j**2 + 17*j - 2 - 5 - 7*j. What is the remainder when c(-8) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1.3? (a) -36\/11 (b) 0.02 (c) 2\/297\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10750\/7 - 1536. Let t = 0.96 + 0.04. Let u = -1.2 + t. What is the closest to 1\/6 in -0.4, u, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = 5*q - 13, -q = r + q - 6. What is the highest common factor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 12685 + -12643. Let s = 13 - 9. Suppose 0 = k - s, 2*g - 6*k + 5*k = 52. What is the highest common factor of z and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -7*t**2 + 119*t + 21. Let l be o(17). Solve 3*x = l*x + 90 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s - 2*s = -50. Suppose 5 + s = 3*m. Suppose 0 = 5*h - 3*w - 0*w - 35, -m*h - w + 15 = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3081084055.\nAnswer: 5, 7, 88030973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1503032581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -30 + 105. What is the highest common factor of f and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 17819376 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) -3020 (b) 2 (c) -3\/2 (d) 2\/7 (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 120 and 503349960.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*q + 4*q. Solve 4*m - l - 3*l + 24 = q, 2*m = 4*l - 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -110*m - 62*m = -20*m - 1064 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c + 3*c - 4*y - 19 = 0, 2*c - 2*y - 8 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1048 + 151*c + 1048 + (3*c - 3*c - 2*c)*(-2 + 0 + 4) - 2 - c + 2 + 3*c + 0*c - c + 2*c + 4*c - 4*c)*(-22 - 2*c + 22).\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = w - 14. Let y = 4 - w. What is the units digit of (-2 - y)\/1*19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p**3 - 11*p**2 - 2*p - 17. Does 4 divide l(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -17\/1497 + 3317\/28443. Determine y, given that -t*y**4 + 0*y + 4\/19*y**2 - 2\/19*y**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12 + 20 - -10 - (68 + -25) - -1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 3752 - 717614.\nAnswer: -713862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the first derivative of 4*f**3\/3 + 3*f**2\/2 - 4*f - 1879. What is m(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 218, 231, 252, 281, 318, 363?\n\"Answer: 4*q**2 + q + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2)\/(3\/(-57) - 0). Suppose 22 = 5*k + r + r, 5*k - 2*r = c. Suppose m = 3*m - k. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(1862))\/(sqrt(2) - sqrt(6)\/(-1*sqrt(3))))**2 + -6*((1*sqrt(171))\/sqrt(9) + sqrt(304) + -1).\nAnswer: -30*sqrt(19) + 955\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = w**2 - w. Let s(a) = -32*a**3 - 68*a**2 + 68*a. What is -408*g(r) - 6*s(r)?\nAnswer: 192*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 5*o**2 + 10*o + 6. Let q(x) = -6*x**2 - 11*x - 7. Let r(i) = -7*g(i) - 6*q(i). Factor r(h).\nAnswer: h*(h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*u + 3*z + 35, 0 = -2*u - 2*z - 5 + 3. Let k be 22\/10 - u\/(-5). Solve 3*a + 4*b = -4, 0*a = -4*a + k*b - 22 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10588699?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2165551?\nAnswer: 2165551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b**2\/4 - 25*b\/4 - 5 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = -4 - 8. Let k be ((-4)\/n)\/((-10)\/(-75)). What is the greatest common divisor of k and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*-4128593.\nAnswer: 20642965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -0.3, 0.5, 0.2, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17508 is divided by 237?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 1426158 divided by -2\nAnswer: -713079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1354 divided by -677?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be (17\/((-34)\/(-4)))\/((-14)\/(-174)). Suppose -208 = 3*l - 11*l. Which is bigger: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = -w + 28, 0 = 2*w - 0*b - 3*b - 58. Let g = 40 - w. Suppose -2*d - 2 = -g. Sort 0, -1, d in increasing order.\nAnswer: -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**2)**(-1\/6)*(z**3\/z)**(23\/4))**(-1\/38) assuming z is positive.\nAnswer: z**(-67\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*sqrt(19)*2 + sqrt(38)\/(sqrt(4)\/sqrt(2)).\nAnswer: 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 24.9 + -25. Let v = 1393.1 - 1497.1. Does v = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -44 - -51. Let a(y) = y + r*y - 4*y. Let d(g) = -10*g. Give d(a(j)).\nAnswer: -40*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) be the first derivative of 2 - 4*w + 1\/30*w**4 + 0*w**2 - 1\/15*w**3. Let p(h) be the first derivative of t(h). Suppose p(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -424.9571 + 425. What is g rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -370, -373, -388, -421, -478, -565, -688?\n\"Answer: -k**3 + 4*k - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 285*-0.2.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 68 divide 25286\/6 - (-10 - (-75)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2338 + 2330. Sort 22, -2, m in ascending order.\nAnswer: m, -2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 7540.146 seconds?\nAnswer: 7540146000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -4503 divided by 3\nAnswer: -1501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 8, 5, -8, -37, -88, -167?\n\"Answer: -i**3 + i**2 + i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = w, 0 = -5*w + 4*s - 48 + 144. Let y be (-1 + -3)*(-1)\/1 + -1. Suppose 7*o - 12 = y*o. Solve -o*l = l - w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.6 and -329?\nAnswer: 197.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 5*b - 22. Suppose v + 6 = -3*c, -4 = -5*v + 4*c + b. Is v smaller than 3\/58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 - 9054999155?\nAnswer: -9054999155.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/20771125 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*f - 64 = -9*f. Suppose -f*x + 26535690 = -135138078. Suppose 15*y + x - 289418442 = 0. Round y to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 1131 (base 9) to base 16\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 4\/3 (b) -7 (c) 2.8 (d) -0.2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 1559787774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 22 + 20122220212?\nAnswer: 20122221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h be 5*(2 + -2 - -2). Suppose 0 = -4*y + y + 3, 2*a - 17 = y. What is the remainder when a is divided by (h\/8)\/((-3)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 25415\/8 + -3188. What is the common denominator of 76\/1407 and b?\nAnswer: 11256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3 - (0 - 147\/(-6)). Let i = 21 + u. Let h be 0*(-3 + 2)\/(-1). Which is bigger: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:21 PM and 10:09 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0 - 5. Let i(k) = -7*k**2 + 12*k + 1. Let g(x) = -3*x**2 + 6*x + 1. Let h(p) = 9*g(p) - 4*i(p). Let q be h(b). Solve -3*y - 3 = -q*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**2. Let u(s) = -135*s + 4. Give y(u(p)).\nAnswer: -18225*p**2 + 1080*p - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 193321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-19 - 0\/4)*4. Let j = 180 + m. Suppose 5*n + j = f, 3*f - 3*n = 133 + 167. 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 y(w) = 54*w - 50. Let h(v) = 30*v - 25. Calculate 7*h(f) - 4*y(f).\nAnswer: -6*f + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b = -5*f - 10, 4 = f - 3*f + 5*b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x. Let q(f) = 6*f**2 - 2. Let s(o) = 13*o**2 - 5. Let n(l) = -5*q(l) + 2*s(l). What is n(g(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l**2 + 41*l - 78. Let c be j(39). Factor -5*q**2 + 11*q**2 - 10*q - q**2 + c*q**2.\nAnswer: 5*q*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/((l\/l**(-4))\/l*l)*l*l\/((l*l**1\/l)\/l))\/(l**(2\/11)*l*l**(2\/9)) assuming l is positive.\nAnswer: l**(-337\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 7*v - 3*v - 22 = 0, 5*v = 3*f + 31. Let g = f + 29. Calculate the highest common factor of g and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 18 - 28. Let r be s\/(3\/(3\/(-2))). Suppose -r*c = -2*c - 48. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -v + 48. Let y(o) = -o**2 + 6*o - 8. Let f be y(4). Suppose f = -5*l - 5, 3*x = 5*l + 3 + 2. List the prime factors of h(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1328 and 429608?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 3*g. Let a be u(-2). Let w = a + 9. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11527 divided by 6?\nAnswer: -11527\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from {n: 1, j: 5, e: 3}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -1826*d. Let b(l) = 13 - 879*l + 9 + 816*l - 22. Give 88*b(i) - 3*q(i).\nAnswer: -66*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 4*n**2 + 0)*(30*n**2 + 7*n - 7*n) - 5*n**4 - 9*n**4 + 2*n**4.\nAnswer: -132*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -195 * 12\nAnswer: -2340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) be the third derivative of -225*t**4\/8 + 509*t**3\/6 - 582*t**2. Find the first derivative of m(o) wrt o.\nAnswer: -675","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 165 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9470 + -2215981\/234. Find the common denominator of c and -83\/286.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 13876 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 24912.67cm?\nAnswer: 249.1267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - 2) + 2 + 2 + 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qrpttpbbtb. Give prob of picking 1 r, 2 t, and 1 b.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b be 3\/4*(11 + -3). Let w(o) = 2*o + 8. Let c(z) = z + 4. Let x(a) = -13*c(a) + 6*w(a). Give x(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -52, 154, -3054?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 4, 0, 1.\nAnswer: -4, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 15 = 2*w. Solve -14 = w*i - o, -13 = 3*i + 2*i - 2*o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2 + 13*f**2 + f**3 - 2*f**4 - 9*f**2 + f - 2*f**2 in the form x + a*f**3 + i*f + p*f**2 + z*f**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2465120 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4471 divided by -118.\nAnswer: 4471\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: fca (base 16) to base 4\nAnswer: 333022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -18427, -36851, -55273, -73693, -92111?\nAnswer: -110527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -106 (base 9) to base 16.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*q - q + 2*q + 11*q - q + 4*q - q - q + q + (0 + 1 - 3)*(-2*q + q + 0*q) + 6*q + 0*q - 3*q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 6.7, 5, 0.8315?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 - 0. Let w be ((-14)\/4)\/(y\/2). Calculate the highest common factor of 21 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w**2 + 5 - 2*w**2 + 0*w - 2*w. Let q be b(-5). What is the remainder when 1 is divided by q\/(-15) + 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 131 + -61. Let p = -67 + k. Suppose -4*l + d = 267, p*l - 5*d + 81 = 2*l. Is -65 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16, -24, -32, -40?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -57 + (-65 + 53 - (-2 + 0 - (-2 - -4))).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6 + -17. Let x be (-5 - -7)\/((-2)\/y). Let t(f) = -f + 11. Let n be t(x). Solve 0 = 5*u - 4*p + 13, n = -5*u + 3*p - 4*p - 28 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 + (-14 - -1) + 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*t - 5, 80 - 290 = -2*x - 4*t. Let p = -104 + x. Let l = 713\/275 + 2\/275. Which is greater: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 bigger than 2208\/137447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2659\/35 + -382\/5. Let i = 0.1 + 0.1. Let k = 14745\/8 - 1843. Which is the closest to -1? (a) g (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 147758861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 170, 714, 1624, 2900?\n\"Answer: 183*i**2 - 5*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 40, 1, 4, 20 in descending order.\nAnswer: 40, 20, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-10 - -6 - 2)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = n**3 + 6*n**2 - n - 3. Let k be v(-6). Suppose 0 = -5*s + 4 + 6. Suppose 0 = s*f + 2*f - 16. Solve -k = -f*b - 23 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.3, 3, 1\/5, -3616?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 288 is divided by 111?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**3 + 31*w**2 + 34*w + 109. Let q be x(-30). Let b(j) = 9*j - 1. Let y(k) = 17*k - 2. Determine q*b(n) + 6*y(n).\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -410*k**5 - k**4*z + 3*k**4 + 2*k**2*z + 2*k + 385 wrt k?\nAnswer: -24600*k**2 - 24*k*z + 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -h - 8. Let a(s) = -3*s - 23. Suppose -47*k - 110 = -37*k. Determine k*f(r) + 4*a(r).\nAnswer: -r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 451 a factor of 7514562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -2*r**2 - 16*r + 24. Calculate m(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/4, -4\/3, -0.4, -1.7 in increasing order.\nAnswer: -1.7, -4\/3, -0.4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.2 - -0.5. Let a = -0.2 - m. Let i be 32\/(-30) - (-2)\/5. Sort i, 3\/7, a.\nAnswer: i, 3\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/(n**(-14)*n)*n*n**(-13))\/(n**0\/n**(-25)))**(14\/5) assuming n is positive.\nAnswer: n**(-322\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*q**4 + 21*q**3 + 9*q**2 - 21*q + 6 = 0 for q.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 30767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -4*x**2 + 7*x - 1. Let b be -1*(3\/(-1) - -2). Let m be g(b). What is the derivative of 13 - 15*t**3 + 8*t**3 - m*t**3 - 15*t**3 wrt t?\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xbxb when four letters picked without replacement from bllbbxblblbbxb.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = 298 + -287. Solve x*z + 15 = -7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/11 (b) -0.2 (c) -2370 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**5 + 5*x**4 - 9*x**3 + 7*x**2 - 2*x.\nAnswer: -x*(x - 2)*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*v**3 - 11*v**3 + 2*v**3 + (v**2 - v**2 - v**2)*(2*v - 2*v + 2*v).\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes before 9:08 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -1747776 divided by -2?\nAnswer: 873888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 522304318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 3*g**2 - g + 1. Let b be -1 - (-21)\/27 - 80\/45. Let u be t(b). Solve d - 15 = -2*s, -5*s = -2*d - 0*d - u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + -58959821928719.\nAnswer: -58959821928721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 18374044 at most -0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*i - 67 = -3. Calculate the remainder when 42 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2.4, 0.04, 0.3, -4, 12?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -11*i + 329. What is u(10)?\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -408674, -409201, -409728?\nAnswer: -410255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 8*b**3 - 206*b**2 - 65*b + 40. Calculate z(26).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 36\/384*24*(-60)\/9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-22)\/q)\/q*q\/q**(4\/7) assuming q is positive.\nAnswer: q**(-165\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 84, 5, 0.1004, -10\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express ((21*g - 19*g - 11*g)*(g + 0*g + g)*(0 - 2 + 1) + 0*g**2 + 0*g**2 + g**2)*(-2*g**2 - 1 + 4*g**2 - 1) as f + k*g**2 + s*g**4 + z*g**3 + y*g and give s.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2739482912.\nAnswer: 2, 29, 2952029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12134*f - 24269*f + 12133*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1099505273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 7 = h, 7*h - 6*h - 10 = -5*u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be 15\/(-10)*(0 + -2). Suppose 2*y = i + 3. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*r + 6*r, 0 = 4*d - 5*r - 2105. Is 25 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 3 = j, -3*p = 3*j - 16 - 5. Solve 3*v = -5*a - j, 3*a - 8*a - 2*v = 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p and 1 n when three letters picked without replacement from ttptttttntpptttt?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.5? (a) 4 (b) 10 (c) -0.5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/(-4)*(-6)\/1. What is the tens digit of 1\/2*12*i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*g**2 + 2\/3*g**4 + 0 + 0*g + 2\/3*g**3.\nAnswer: 2*g**3*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -16*h**3 + 6*h**2 - 3245*h + 3245. Determine z(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/y**(-2\/3)*y**(-4\/7))**(-32\/5) assuming y is positive.\nAnswer: y**(-736\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32972 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**3 + 16*x**2 - 11*x - 19. Let o be l(15). Suppose 10 = o*m - 39*m. Calculate the least common multiple of 4 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**3 + 3*b**2 - 2*b. Suppose -t = -6*k + 2*k + 4, 5*k - 22 = -3*t. Let r be -4 - 0 - (k - 3). Calculate j(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 96 minutes before 3:55 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1712.9644 + 0.0356. Let j = -1745.64 + b. Let z = j + 32. Round z to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a\/(a**4*a))\/(a**7\/a)*a**0\/a**(-4) assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -6*p**2 - 12*p + 21. Give q(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49*i - 137957 - 67157 = 0. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 51 - 47. Suppose -c = u - 3. Let r be 33\/108 + (-1)\/4*u. Which is greater: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 12\/5*(-120)\/48. Sort 5, q, 4 in decreasing order.\nAnswer: 5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -4, 200, -7, -2 in ascending order.\nAnswer: -7, -4, -2, 0, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 360 and 43185880?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.697 to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-1 - 2 + 1)*(-4 - 1 - 3) + (5 - 2 - 2)*(-2 + 0 + 9) + 2 - 6 + 3)*(2 - 3 - 2)*(-4*p + 2*p + 4*p) to the form q*p + j and give q.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 2 = -2. Let a = f + -8. Let q = 0 + -4. Is a equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 55 divide 3530136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by -7206.\nAnswer: -1\/7206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -77\/36684 and 23\/183420.\nAnswer: 183420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = 3*s - 89, -2*t + 5*t - 81 = -3*s. Let u = s - 25. Calculate the common denominator of (-22)\/u*(-3 + 2) and -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 282\/(-54) + 5 + 56\/(-72)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the third derivative of 1\/12*v**4 - 2*v**2 + 0*v + 0*v**3 + 0. Let b(u) be the first derivative of -u**3 + 5. Give h(b(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1\/671, 2, 5, -0.22, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/3 < 290.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -2036.50817 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -7*c**2 + c - 1. Let p be (1\/(-1))\/((-1)\/(-6)). Suppose -309 = 4*h - 481. Suppose -h*r + 31*r = 12. Let f(t) = t**2. Give p*f(d) + r*l(d).\nAnswer: d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-10)\/(-2)*248\/10. Suppose 4*y + 362 - 34 = 0. Let f = y + n. What is the greatest common factor of 105 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -697 + 723. What is the greatest common divisor of i and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 5238*d - 162350. Determine g(31).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -117 + 125 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 6829, 13507, 20185?\n\"Answer: 6678*z + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a**2\/4 - 505*a - 22099\/4 = 0. What is a?\nAnswer: -2009, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5149 is divided by 215?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2371609 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 7, 2717, -0.1?\nAnswer: 2717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 406, 1649, 3732, 6655, 10418, 15021?\nAnswer: 20464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -p**2 + 9*p - 13. Give h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -43 (base 9) to base 11.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 1143*b + 12572. Determine m(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -18 - -18. Let p = 2615 - 7843\/3. What is the closest to g in p, -4, 4\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -26*h**3 + 46*h**2 - 76*h + 81. Let t(g) = -5*g**3 + 9*g**2 - 15*g + 16. Let v(i) = -2*n(i) + 11*t(i). Is v(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*g + 36 = 16*g. Let t be 2\/2 + 1*-15. Let s be g\/t + (-115)\/(-35). Solve j - 3*u + 2 = 0, -u = -s*j - 8 + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 29\/3 of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.20227828 rounded to three decimal places?\nAnswer: -0.202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 149 >= 152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*x**3 - 24*x**3 + 0*x**3 + x**3.\nAnswer: -46*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttttt. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1476 and 1148.\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1828 - 1290. What are the prime factors of t?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3 - -55aac91?\nAnswer: 55aac94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3729.\nAnswer: 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -447, -17\/2, -88, 2 in ascending order.\nAnswer: -447, -88, -17\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -5. Let z(r) = -r - 18. Suppose -7 + 5 = 5*w + 4*x, -2*x = 3*w + 2. Let b(y) = w*a(y) + z(y). Determine b(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 0, -5, -45 in decreasing order.\nAnswer: 0, -4, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 2*c**3 - 4*c**2 + 2*c - c + 0*c + 7*c**2 - 2. Suppose -127*t = 364 + 17. Calculate d(t).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-24)\/(-16) + 1\/2. Let n = 0.2 - 0.3. Let v = n + 0.2. What is the nearest to s in -5, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5\/2, -1, 5, 0.4 in descending order.\nAnswer: 5, 5\/2, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 147 and 273.\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = q**3 - 40*q**2 + 319*q + 4. Let k be a(29). Solve 7*g = k*g + 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 70 - 67. Solve -7 = 3*t - u, -2*t - 9 = c*u - 8*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 2*m = 33, -3*l + 142*m - 141*m = -24. Let w(o) = 2*o**3 - o**2 - 2*o + 2. What is the lowest common multiple of w(2) and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 10 and 1.329?\nAnswer: 8.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4 - 5. Is 20\/139 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3\/(-15)*-5*2. Let l be ((-4)\/14)\/(3\/(-21)). Solve l*g = -h*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -t. Let i(j) = -210676*j**2. Determine v(i(h)).\nAnswer: 210676*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 261920161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 182775 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-68)\/3 + ((-70)\/15)\/(-7). Let v = 36 + t. Suppose 11*w - v*w + 285 = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 71*f**4 - 52*f**4 + f**5 - 71*f**4 + 2*f**5 + 4*f**3 - 4*f**3 + (-5 - 2*f + 5)*(-f**4 - f**2 + f**2) + 0*f**5 + 2*f**5 - f**5 - 4*f + 4*f - 3*f**5.\nAnswer: 3*f**5 - 52*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9307 is divided by 468?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {a: 2, e: 2, i: 3, r: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 238383\/8, 1.6, -1?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -8473, -16956, -25437, -33916?\n\"Answer: m**2 - 8486*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1065, -11043, -1 in descending order.\nAnswer: 1065, -1, -11043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -18, -2, -5, 5, -1.\nAnswer: -18, -5, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*-1 + 290\/203.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -x + 22, -3*x = -7*x + 2*g + 38. Calculate the remainder when 33 is divided by ((-8)\/x)\/(2\/(-36)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 111\/56 - 2335\/168. Let y be -3 + 13294\/(-12) + 3. Let z = y - -1111. Find the common denominator of x and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:10 PM and 1:12 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32703150 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -2*l**3 - 2*l**2 + 7. Let r be s(0). Solve w - 2*j = -3, 2*j + 25 = w + r*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1870 is divided by 157?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d**3 + 5*d**2 - 5*d - 16. Let v be l(-5). Solve 3*u = 6, -2*n + v = 3*u - 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 45.80077 to two dps.\nAnswer: 45.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -55\/166330312 and 95\/168692.\nAnswer: 166330312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 38 + -21 - (7 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**(-1\/13)*c)\/((c**(-2)\/c)\/c))**(-3\/37)\/(((c*c\/((c*c*c**(-1))\/c))\/c)**(9\/7)\/(c\/(c**(2\/5)*c*c*c)*c\/c**(-3))) assuming c is positive.\nAnswer: c**(-2794\/16835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2779754 to the power of 1\/2, to the nearest integer?\nAnswer: 1667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 446 minutes before 6:24 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*y - y + 0*y)*(-1 + 0 + 2) - 7551*y + 15120*y - 7549*y - 17 to the form c + i*y and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 48 = 2*z - 4*h, 3*z - 2*h = 72. What is the lowest common multiple of 10 and -15*(-3)\/(-5)*z\/(-18)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v**3 + 9299*v**2 + 21557280*v - 281818368 = 0. Calculate v.\nAnswer: -4656, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 503 + 1287 = 25*z + 190. What is the highest common divisor of 524 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -9*t*z**2 - 182*t*z + t + 1494*z**2 wrt t?\nAnswer: -9*z**2 - 182*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -312 + 520. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8226, -8017, -7808, -7599, -7390, -7181?\nAnswer: -6972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 - 7 = 3*p, 0 = -5*g + 4*p + 232. Let z be 11\/g + 47\/4. Solve 3 + z = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vij when three letters picked without replacement from ovijwvvvw.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 4+-26776291\nAnswer: -26776287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -2*z**3 + 9*z**2 - 5*z + 7. Let n be x(6). Let g = n - -131. Let 3\/4*o**2 + g + 3\/4*o = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 45702 and 21.\nAnswer: 319914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 3068 - 6101 - g + 3056. Determine l(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the second derivative of 16*y**7\/7 - y**4\/4 - 11*y**3\/2 - 102*y. What is the third derivative of m(d) wrt d?\nAnswer: 5760*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-68)\/17136*21)\/(((-108)\/(-128))\/9)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.02 less than -10926?\nAnswer: -10926.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + (0 - (-33)\/(-9))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 - -14. Suppose 2*k = -5*x - 3*k - 5, 3*x - k = h. Let r = x - -1. Put 0, -2, r in ascending order.\nAnswer: -2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5*(-10)\/(-150)*-5*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -60*m**3 + 35635206*m**2 - 35635206*m**2.\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 54\/143 and -11\/13?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {d: 5, c: 5, j: 8, f: 1}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -73381, -73365, -73339, -73303, -73257, -73201, -73135?\nAnswer: -73059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1 and -1481.\nAnswer: 148.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/9 (b) 9 (c) 2\/5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) -3\/2 (b) 3 (c) -0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 299064.92 rounded to the nearest ten?\nAnswer: 299060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -26 + 94. Let w = h - 59. Solve 8*p - w*p = -3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {z: 2, u: 5, j: 1, a: 8}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j - l = 8, j + l = 5*l + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 394.3458mm?\nAnswer: 394345.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-2)\/6)\/((-12)\/(-396)). Let o(b) = 11*b - 5. Let p(t) = 5*t - 2. Let h(g) = 2*o(g) - 5*p(g). Let f(k) = -8*k. Give d*h(i) + 4*f(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be (1\/2)\/((30\/2676)\/5). Suppose g + 4*g + 481 = -4*d, -g = -2*d - h. Let v = d + 209. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1581.99 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**0\/m)**(-1\/46))**(-5) assuming m is positive.\nAnswer: m**(-5\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*-115.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 119 * 4\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*u**4 + 4*u**3 - 4*u**3)*(1 + 1 + 0) + 103*u**4 + 1 + 77*u**2 - 77*u**2.\nAnswer: 93*u**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d + 11*d + 144 = 21*d. Solve d = -20*n + 96 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 2*h + 10. Let c be d(-5). Solve 4*b = 5*j, 4 = -j - c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 117000.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 419680, 1678639, 3776880, 6714403, 10491208, 15107295?\n\"Answer: 419641*x**2 + 36*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(20)\/sqrt(4) + 3)*-4*6 + 1)*1)**2.\nAnswer: 3408*sqrt(5) + 7921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1c + -b0?\nAnswer: -cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 78190*g**2 - 2*g*j + 51953*j - 1 wrt g?\nAnswer: 156380*g - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 21066*w**3*x**3 + 11*w**3*x**2 + 3*w**3 - 54*w*x**6 + 14426*w*x**2 wrt x?\nAnswer: 126396*w**3 - 6480*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 3*w**3 - 15*w**2 - 2*w + 12. Let o be p(5). Let v be -2 - 2*(-5 + o). Solve v*l - 2*m = 12, 4*l + m - 30 = -6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 526 minutes after 5:54 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 4 + -98120?\nAnswer: -98118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 51551056 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v and 2 z when four letters picked without replacement from {d: 1, v: 5, z: 3, m: 4}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is f89 - c?\nAnswer: f7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*a**2 + 468 + a - 4*a - 465 + a to r + w*a + c*a**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 17 + -16. Is 7 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - -16) + -5 + -35 + -14 + 4?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 30841 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**3 + 11*f**2 - 10*f - 6. Let d be m(10). Let k = 24 - d. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -9*n**6 - 8*n**5 - 507*n**2 + 13. Let x(c) = 4*c**6 + 4*c**5 + 254*c**2 - 7. Let d(k) = -6*f(k) - 11*x(k). Find the third derivative of d(t) wrt t.\nAnswer: 1200*t**3 + 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 1, -26, -2 in descending order.\nAnswer: 4, 1, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(1404)*2 - 2*(sqrt(1404)*-2 - sqrt(1404)))\/(6*sqrt(288)\/sqrt(54)).\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 121108 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 880, 168, -544, -1256?\n\"Answer: -712*s + 1592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 763 divide 1707328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4360)\/18748)\/(4\/(-860)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 334870567 to the power of 1\/2, to the nearest integer?\nAnswer: 18299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -192*m**2 + m + 903 wrt m?\nAnswer: -384*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 4 = -1. Let z(k) = -5*k**3 + 52*k**2 - 20*k + 8. Let m be z(10). Let g(j) = -j**3 + 4*j**2 + 2*j - 1. Let n be g(4). Solve -n = q*u + m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 1 + (-16 - -16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -4384429 greater than -13153289\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/(2*(-2)\/4))\/((-11424)\/651168).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 989?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 76*t - 228. Does 56 divide l(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 71 + 67 = 0. Is -68 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 150 and 37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/(-6) + (-69)\/(-9). Suppose q + z = 45. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {b: 2, l: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = 43395 + -43401. Let f(s) = -15*s**3 - 89*s**2 + 7*s - 2. What is f(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x = 31 + 193. Let v = x - 40. Suppose 2*t - 6 = -2*w, 4*t + 5*w - v = -0*t. Which is the closest to t? (a) -0.3 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.29999999 - -1.3. Round w to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes after 8:43 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from jfuggwwgwwwjt.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1080219565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 32*a**3 - 20*a**3 - 11*a**3 + 1 - a**4 - 2*a**2 as g*a**4 + j*a + f*a**2 + b*a**3 + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*w**3 + 801*w**2 - 49020*w.\nAnswer: -3*w*(w - 172)*(w - 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qwfxfqsxxx. What is prob of picking 1 s, 1 x, and 1 w?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6 - -2. Let x = -192 + 206. What is the remainder when x is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 0*j = 710. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (1177\/749)\/((-2)\/14)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 1777*u - 576*u + 6526*u as p*u + x and give p.\nAnswer: 7727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*h = -7*h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 107\/44 and -2 - (4 + 124\/(-28) - (-19052)\/(-13888))?\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 3, o: 2}. Give prob of picking 1 o and 3 e.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2459, -4914, -7373, -9836, -12303, -14774?\nAnswer: -17249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 336*d**2*s**2 + 29*d*s**2 - 3*s**2 - 2 wrt d.\nAnswer: 672*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 127009 less than -0.3?\nAnswer: -127009.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3.6 (b) 2.9 (c) 198\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -5*t**3 + 3*t**2 + t + 25. Calculate y(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**(-3\/2)*f**(1\/2)*f**(4\/13)\/(f**(1\/16)\/f))**(-50) assuming f is positive.\nAnswer: f**(-6475\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5024)\/4396)\/((-4)\/(-14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*w**5\/5 + 334*w**4\/5 + 4752*w**3\/5 + 21194*w**2\/5 + 7816*w + 5160 = 0.\nAnswer: -5, -3, -2, 215\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 9 (base 13) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1245*i + 1245*i + 55*i**3)*(-5*i + 3*i - 3 + 2)*(6 - 2 - 3)*(-1 + 0 + 3).\nAnswer: -220*i**4 - 110*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -29859, -59752, -89645, -119538, -149431, -179324?\n\"Answer: -29893*o + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2879397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = 20 - 22. Let h(x) = 3*x + 0*x - 2 - 4*x - 5*x. Give h(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*n = 50 + 270. What is the remainder when 391 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -27*b**4 - 2*b**3 + 36*b**2 + 98*b - 2 wrt b?\nAnswer: -324*b**2 - 12*b + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 328 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 912 and 42579?\nAnswer: 681264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vucup. What is prob of picking 1 p and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 6*j - 30 = 0. Is (-3 + (-404)\/j)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 - (14 + -6 + 3) - (-1 + 2 + -42)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 10046 (base 9) to base 4\nAnswer: 1213023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/3 or 107?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 175 = -4*t - t - 4*q, -5*t = -q + 150. Let k = t - -29. Let m = 69\/5 + -13. Which is the second biggest value? (a) m (b) k (c) 0 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 0 - 5*g**2 + 0. Let q be (-54)\/12*4\/(-2). Let k(u) = 3 - q*u - 3 + 8*u. What is p(k(i))?\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is ((-13167)\/1729)\/(99\/1287)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -22139201*o**3 + 508*o**2 + 14502*o - 2?\nAnswer: -132835206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 4 = -2*f. Let g be 5*f*(-6)\/15. Suppose 4*s = 5*x - 192, -162 = -5*x - 3*s + 44. Calculate the highest common factor of g and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 252795 and 155705.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2168220?\nAnswer: 2, 3, 5, 36137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eyeetnencetnnpe. Give prob of sequence nnne.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -74, -349, -808, -1451, -2278?\nAnswer: -3289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 177, -7, 2\/13.\nAnswer: -7, 2\/13, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -2*h**2 + h. Let n be m(0). Suppose 0 = -p - 2*j - 4 - 1, 2*p - 4*j - 22 = 0. Solve n = p*c + 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7284 + 12335. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 24 = 6*z. Let j = z - -17\/3. Let b = -53.5 - -50.5. Sort -0.2, j, b in increasing order.\nAnswer: b, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 70 - 67. Let m = -48 - -68. Solve -m = -b - t*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2031*p**3 + 1335*p**2?\nAnswer: 12186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of (-64 + 6)*(-1)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 234 (base 6) to base 10\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-1\/3)*q)**(-4\/9) assuming q is positive.\nAnswer: q**(-8\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 847 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: Find the third derivative of -2*j**3*y**2 + 1170808*j**3*y - 2*j**3 + 8*j**2*y**2 + 4588*j*y**2 - 2*j*y - 2 wrt j.\nAnswer: -12*y**2 + 7024848*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 3*n - 2. Let t = -2 - -3. Let d be b(t). Suppose -l = d - 3. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -69\/256 and 25\/112?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -32 - -117. Let a = 88 - g. What is the nearest to -0.1 in 8, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**7*d**(-6))**(10\/11))**(-30) assuming d is positive.\nAnswer: d**(-300\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-12)\/(-176) - (48\/44)\/(-6). Let s = 1 + 1. Let q = 1 - s. Which is the third biggest value? (a) d (b) 0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the third derivative of 55*k**8\/112 - 61*k**5\/30 + 225*k**2. Find the third derivative of h(j) wrt j.\nAnswer: 9900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 45350 and 81094870.\nAnswer: 9070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 36*d + 147 = -6*d - 189 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 89\/6 and (-2)\/5*2162\/92?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3817274 is divided by 2447.\nAnswer: 2401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-16)\/10)\/(2\/(-5)). Suppose p + 12 = o*p. Solve p*j + 20 = 2*t, -3*j + 4*t - t - 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1963 and 1651.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 91*u**3 - 538*u**2 + 288*u + 1087. Let n(i) = -44*i**3 + 268*i**2 - 144*i - 544. Let w(v) = 4*d(v) + 7*n(v). Solve w(k) = 0 for k.\nAnswer: -15\/14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -764, -1035, -1546, -2345, -3480, -4999?\nAnswer: -6950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 478584, 478576, 478556, 478518, 478456?\n\"Answer: -o**3 - o + 478586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 754433 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 83732009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -12, 1\/76, -927 in ascending order.\nAnswer: -927, -12, 1\/76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-13 + 532\/42)*(-6)\/(-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 4)*(-2 + 0 + 4)*(3*g**2 - 3*g**2 - g**2)*(1 - 1 + 2).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 - 8. Let r = -13.7712825 + 2.771287. Let q = w - r. What is q rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.184 and 1.1.\nAnswer: 0.2024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -603872557*s**2*u**3 - 48*s**2 - 338953*u**2 wrt u?\nAnswer: -3623235342*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:58 AM and 8:17 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*h = 52*h - 870 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1696)\/12*63\/6. What is the common denominator of -5\/6 and (-24)\/(-84) - (-970)\/u?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 361 + -86. Suppose 8*v - b = 3*v. Calculate the greatest common factor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 35847 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -7*v**2 + 40*v + 20. Determine s(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*x**3 + 15*x**4 + 0*x**3 + 87*x - 15*x**2 - 97*x + 5*x**5.\nAnswer: 5*x*(x - 1)*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f, 1 n, and 1 y when three letters picked without replacement from {n: 2, y: 1, s: 1, f: 2, w: 1, l: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen quarters of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange d**2 + 15*d + 5*d**4 + 13*d - 31*d - 5*d**3 + 3*d to the form o*d**4 + m*d + r*d**3 + p + q*d**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 3*r - 14. Let k be q(-5). Suppose -392 = 10*d + 4*d. Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 7*m. Suppose -3*s + 8 = r - 2*r, -s + 2 = -r. What is the units digit of u(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j**(-3\/28)\/j)*j\/(j**(-1\/6)*j))\/((j**(-40)\/j)\/j**(-26)) assuming j is positive.\nAnswer: j**(1451\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 660 minutes after 1:55 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 3*g**3 + 2*g**2 - 4*g - 2. Let w(o) = 7 + o**2 - 10*o**3 - 11*o**2 + 13*o + 2*o**2 + o**2. Give 7*c(s) + 2*w(s).\nAnswer: s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3, -2, 0.3, 10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lzzzzl. Give prob of sequence lz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 124 and 4526.\nAnswer: 9052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 150348 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -931a - 10251?\nAnswer: -19570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 174 + 167 - 504 - 42*i + 163. Let j(m) = 105*m**2. Calculate z(j(o)).\nAnswer: -4410*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 - 7 + 23 + 9*p**2 + 0 to r + f*p**2 + i*p and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -13*y**2 - 22*y + 12. Let w(i) = -12*i**2 - 21*i + 12. Let a(n) = -3*p(n) + 2*w(n). Factor a(l).\nAnswer: 3*(l + 2)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gkbijgkjgkqbb. Give prob of picking 1 g, 2 b, and 1 i.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 548*j - 103*j - 9668064 - 5717811. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1025035 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*y**3 - 4*y**3 - 2*y**4)*(-3*y - 2*y - y) - y**3 + y**3 - 2*y**5.\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/4*(34 + -30). Suppose 0 = 9*b + h + 188. Does 15 divide 5*7\/(b\/(-81))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-165 - 20 - 305 - 391)*(w**3 - 3*w**3 - w**3) to the form v*w + l + a*w**3 + k*w**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.2341 + -4.6489. What is s rounded to 1 dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -4*c**3 - 990*c**2. Let b(v) = -5*v**3 - 1320*v**2. Calculate 7*b(z) - 9*h(z).\nAnswer: z**3 - 330*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.12 + 0.02. What is the closest to -1 in 3\/7, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 908186153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 131602 and 138409?\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 816*j + 73425. Calculate b(-90).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1006 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*f + 48 = -7*f. Suppose -4*c = u - 10, 0 = 3*u - f*u - c + 41. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 14 - 2. Let c be (-6)\/(15\/n + -2). Suppose -j + 0*j - 1693 = -3*a, c = -2*j. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 = 4*r - 2*r. Let x = 19 - r. What is the third derivative of -2*m**2 - 2*m**4 + 7*m**2 + 11*m**6 + x*m**4 wrt m?\nAnswer: 1320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -21167 and 8946992.284.\nAnswer: 8925825.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, -0.02, -2\/11, -3, -2 in increasing order.\nAnswer: -3, -2, -0.3, -2\/11, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 1 - (16 + -25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 338821.\nAnswer: 7, 97, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 30.256 + -30.476. Which is the closest to 0? (a) 2\/11 (b) -3 (c) l (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -420213585 rounded to the nearest one hundred thousand?\nAnswer: -420200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -45, 8, 83, 168, 251?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 15515.141 to zero dps.\nAnswer: 15515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -q**2 + 5*q - 1. Let z be h(4). Let y = 14372\/1137 + 10\/379. Find the common denominator of y and (-84)\/(-16) + (0 - z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000034383715 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 5*g + 0*g = 2425, -3*w - 5*g + 1457 = 0. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 24*s + 258 - 258 as r + d*s and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**3 - q**2 - q + 12. Suppose 0 = -4*u + 5*u. What is the least common multiple of f(u) and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 197508\/15100 + 1\/(-6) + 231\/(-18).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 12 = -3*m - 2*i, -i + 11 = 3*m. Let p = -6 - -3. Let t be 2\/(m - (-2 - p)). Sort 1, 5, t in decreasing order.\nAnswer: 5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -30 = 1269*v - 1275*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*v - 21 = 16*v. Calculate the common denominator of -5\/27 and (117\/v - 4)*14\/36.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6992 is divided by 1800.\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1041?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the first derivative of 41\/6*b**6 + 55\/2*b**2 + 0*b + 0*b**5 + 58 + 0*b**4 + 0*b**3. Find the second derivative of a(c) wrt c.\nAnswer: 820*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*i**2 - 2870*i + 1790700.\nAnswer: -2*(i - 470)*(i + 1905)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in eleven tenths of a meter?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 68753 and 788.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -458, -391, -322, -251, -178, -103?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 3\/2 (b) 1\/2 (c) -0.06 (d) 5.288 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (-5*(2*sqrt(486)*1)\/(6*((-2*sqrt(200) - sqrt(200)) + sqrt(200))))**2.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 188*y + 351*y + 16357 - 726 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 3343698 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1058 - 183 = 35*f. Suppose a - 3*z + 6 = 4*a, 5*z - 7 = -4*a. Solve 2*b + 32 = 4*q - 3*b, -a*q + f = -4*b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -203.131 + 197.2. Round b to 1 decimal place.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 62 - (-34 + 9 - -50)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 172 - 172 + 269*s.\nAnswer: 269*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -345369 divided by 4.\nAnswer: -345369\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 387555656?\nAnswer: 2, 48444457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -7*a - 2. Let m(v) = 8*v + 3. Let j be 0\/1 + (-4)\/1. Let n(h) = j*m(h) - 5*x(h). Differentiate n(w) wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1548 != -105307\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 21 + -18. What is the third derivative of q*o**5 + 17*o**4 - 7*o**4 + 12*o**2 - 10*o**4 wrt o?\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 2*w, 0*w = -4*q - 4*w - 8. Let u be 12\/6 + q + 0. Solve -u*p = -2*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = -3*v - 108, -2*v + 4*v - 104 = -4*x. Solve -x = -o + 4*c, -c = 3*o - 5*c - 32 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 11 = -3. Suppose -3*s = x - 2430, 0 = z*s - x - 3*x - 1620. What is s rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 10*b**2 + 5*b - 8. Let s(u) = u**2 - u + 1. Let c(n) = h(n) + 6*s(n). Does 16 divide c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = -7*u + 9. Let y = u - -9. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the second derivative of z + 0 + 0*z**3 - 1\/2*z**2 + 1\/45*z**5 + 1\/36*z**4 + 1\/180*z**6. Let t(u) be the first derivative of j(u). Factor t(p).\nAnswer: 2*p*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*((sqrt(1331) - (sqrt(1331) + 1)) + -2 + (sqrt(1331) - -4*(sqrt(1331) + 1) - sqrt(1331))) - (-3 + sqrt(1331) + -5 - (1*sqrt(1331) + 4)))**2.\nAnswer: 3960*sqrt(11) + 191889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3.812 or -5\/7?\nAnswer: 3.812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*g = 42*g - 335 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19293*c + 19302*c - 57931*c + 19315*c.\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the second derivative of u + 5\/6*u**3 + 1\/12*u**4 - 1\/2*u**2 + 0. Let w be -1 - (135\/30 + (-6)\/(-4) + -3). Give f(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -360394289 or -360394288?\nAnswer: -360394288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 2*m**2 + 9*m - 26. Let g be p(2). Let f(o) = 3*o + 1. Let l be f(2). Solve g = -2*s - 6, 2*s - l = -5*y + s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**2 - r - 1. Let l be c(-4). Let g = 22 + l. Solve 4 - g = -2*d + h, -10 = -3*d + 4*h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-38 - (-3 - -2)) + (32 - (-7 - 37 - -67)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 53867 (base 13) in base 14?\nAnswer: 3cd7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -3\/7, 1\/2, -88, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1652646, -1652645, -1652644?\nAnswer: -1652643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 206245590?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*i - 8*i**3 + 34*i**3 - 27*i**3.\nAnswer: -i**3 - 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-1\/3))**(-48)\/(x\/(x**(1\/3)\/x*x))**(-33))**(4\/9) assuming x is positive.\nAnswer: x**(152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*f + 7*f - 2685. Let v = 1255\/7 - f. What is the fourth biggest value in -5, -2\/7, -7, v?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 6 - 5)*(0*f + f + 0*f)*(-2 - 3*f**2 + 2)*(3*f - 2*f - 10*f).\nAnswer: -54*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 43810758?\nAnswer: 2, 3, 2433931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -15 + 59\/4. Let s = -82.717 - 0.683. Let j = -83 - s. Which is the nearest to p? (a) 0 (b) j (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 1245*w + 2. Let r(s) = 135707*s + 219. What is -219*a(d) + 2*r(d)?\nAnswer: -1241*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 182219?\nAnswer: 47, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = -21 + 16. Sort z, -0.4, -4.\nAnswer: z, -4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 19259 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000012625677 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -18958, -37766, -56572, -75376, -94178?\n\"Answer: y**2 - 18811*y - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 505 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -389719 * 346.\nAnswer: -134842774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -2092.7+346.07\nAnswer: -1746.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -2*x**3 - 35*x**2 + 17*x - 40. Determine w(-18).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -113\/3000 and -59\/153000.\nAnswer: 153000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 14 + 8*5\/(-10)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2552 + 717?\nAnswer: 3471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 9\/(-27) + (-638)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*m + 184 = 23*m. Suppose 5*d + 123 = 2*v, 4*v - 349 + 82 = 3*d. Calculate the highest common divisor of m and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -8.828+0.0481\nAnswer: -8.7799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*s = -17*s + 8*s + 350 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 515*g**3*v**3 - g**3*v**2 - 237*g**3 - v**2 wrt v?\nAnswer: 3090*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, d: 2, n: 7, g: 4, i: 6}. Give prob of picking 1 g and 1 i.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0 + 0.2. Let f = 0 - c. Let p = -0.0672 - -0.0672. What is the nearest to 1 in f, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4508347*b + 8855188 wrt b?\nAnswer: -4508347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1009356039 is divided by 902.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 910, 1831, 2736, 3619, 4474, 5295, 6076?\nAnswer: 6811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -1138841 and -11.\nAnswer: 12527251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = 39 + -36. Let t be 6\/(-18) + 16\/f. Suppose -2049 = -t*x + 901. What is x rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -71, -10, -1, -3, 1, 15 in descending order.\nAnswer: 15, 1, -1, -3, -10, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2260 or 20335\/9?\nAnswer: 2260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -354*a**4 - 18*a**2 - 7*a?\nAnswer: -8496*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 7*i = 9*i - 32, -5*f + 50 = 5*i. Suppose 0 = -5*m + 4*n + 14, -2*n = -1 + 3. Let a = 8 - m. What is the least common multiple of a and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) be the third derivative of -n**5\/120 - 5*n**4\/12 - 61*n**3\/6 - 26*n**2 + 3. Let j(m) be the first derivative of s(m). What is j(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u**2 - 7*u - 2. Let f be x(7). Let i be -1 - f*(-10)\/(-4). Suppose w = i*w. Solve w*q = -5*q - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.0333 times -0.3628\nAnswer: 0.01208124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:25 AM and 9:34 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -2*v - 2. Let a be c(-2). Suppose -2*x - 2*o = 4, -5*o = -x - 6 + 34. Find the third derivative of 26*s**2 + x*s**2 - 7*s**a + 2*s**6 wrt s.\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 2*s**2 - 38*s + 260. Calculate the remainder when 113 is divided by m(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-440)\/(-32)*(228\/60 - 7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 8070 and 86370.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 798.0623 micrograms to tonnes.\nAnswer: 0.0000000007980623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + c)*(-5 + 4 - 1) + 85804 + 229*c - 85803 + 41*c.\nAnswer: 268*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:07 AM and 7:54 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (b - 2*b**4 - b)*(-3 + b + 3) + (-2*b**3 - 2*b**3 + 2*b**3)*(-4*b**2 + 8 - 8).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-15800)\/5372)\/(4\/(-17)))\/((9\/(-3))\/(-6)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1 + 641001653?\nAnswer: 641001654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*s + 17 = -19. Let l = -62\/7 - -379\/42. Which is the closest to -2\/9? (a) 3\/7 (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 18\/11, -3, 4, -15 in ascending order.\nAnswer: -15, -3, 18\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 4375799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 2*k. Let r(n) = -2*n. Let z(g) = 4*c(g) + 5*r(g). Let h(t) be the third derivative of -t**4\/12 - 6*t**2. Calculate h(z(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-2)\/(-3))\/(2\/(-3)). Let q(k) be the first derivative of -3*k**4\/2 + k**2\/2 + k + 38. Calculate q(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 4, 12 in ascending order.\nAnswer: -5, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 + 2. Suppose 3 + c = f. Suppose -f*g = -2*g - 12. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3427 = 16*k - 12931. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -3*z + 3. What is the least common multiple of b(-5) and ((-5)\/5)\/((-1)\/27)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*q**3 + 0*q**3 + 4*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -307773617 and -318448.8?\nAnswer: 307455168.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 9, 3, 5406 in descending order.\nAnswer: 5406, 9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 9394 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = 64 + -64.074. Let d = r + -3.346. Let q = d + 3.4049. Round q to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 785 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 0*o = 2*o - 8, z - 3*o = -12. Suppose z*y - 8*y + 16 = 0. Solve y*k + 16 = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -22 - -22 - (6\/(-9))\/(2\/72). Solve 2*w + 3*u = -3*w - 20, w - 5*u - i = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 21*l**3 - 2*l + 2. Let t be h(1). Find the common denominator of 210\/9*(-32)\/40 and (-133)\/t*(8\/10)\/(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = -3*w + 93, 0 = 3*t - 2*w - 55 - 33. What is the least common multiple of t and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*i = 28*i + 16. Let z be 1976\/228*3\/i. Let m(n) = 11*n**2 - 10*n - 17. Let r(d) = 5*d**2 - 5*d - 8. Determine z*r(s) - 6*m(s).\nAnswer: -s**2 - 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be 4\/18 - 478705\/450. Let y = 1411\/10 - o. Let j = y + -1187. Calculate the common denominator of j and -41\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 330225 is divided by 8717.\nAnswer: 7696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-136)\/2176)\/(4\/(-2944))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 223999 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -617, -606, -589, -566, -537, -502, -461?\n\"Answer: 3*k**2 + 2*k - 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -n**3 - 6*n**2 + n + 3. Let u be i(-6). Let v(o) = 2*o**2 + 2*o + 4. Let d be v(u). Let q = 71 - d. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.17 + 0.07. Let m = -39.03 - -39. What is the closest to q in 1\/5, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 5 - 2)*(-2*j - 4 + 4) - 5*j + 4*j + 13*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-2\/9))**41*(d\/(d*d**3))**(-27))**41 assuming d is positive.\nAnswer: d**(26527\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2*5 - 2 - 1. Let s = q + -3. Suppose 0*r - 52 = -s*r. Solve 2*g = 4*i + 26 - 4, 0 = -3*g + i + r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4192 + 4222. What is the greatest common divisor of 3870 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/7 (b) 22 (c) 128683\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = 5*b, 7*b + w = 6*b. Suppose -2*f = 2*f + 3*n - 8918, b = 5*f - n - 11157. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3393*v = -2*h + 3389*v - 2, 0 = 3*h + v - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -11*q**2 + 119573*q - 271700.\nAnswer: -(q - 10868)*(11*q - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-33)\/42*-2 - 2. Which is the smallest value? (a) 4\/9 (b) -0.04 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2347 - -3978. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 + 7092\/30)\/((-1)\/5). Let b = d - -1703. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5156, -5168, -5180, -5192, -5204?\nAnswer: -5216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a**(3\/4))\/a*a**(-3\/16))**42 assuming a is positive.\nAnswer: a**(189\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 60046, 120104, 180162, 240220, 300278?\nAnswer: 360336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 7, -0.09, 149, -0.1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express h - 12*h**3 + 9*h**3 + 14*h**3 - 3*h**3 - 10*h**3 + 8340 as b + t*h**3 + q*h + d*h**2 and give b.\nAnswer: 8340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 795520399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4 (b) -0.2 (c) -9 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1776 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 18*y = 0. Solve -5*m - 2 - 8 = y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide ((-36044)\/10)\/((-86)\/1290)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 241965\/4245 - 327\/6\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 36452 or 3681724\/101?\nAnswer: 36452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 158500047 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qt when two letters picked without replacement from {z: 1, t: 1, i: 1, j: 2, q: 1, d: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(2 + sqrt(1584) + -5 + sqrt(1584) + 0 - (-5 + (sqrt(1584) - (0 + sqrt(1584))*4)))*-6)**2.\nAnswer: 34560*sqrt(11) + 5702976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 58 = -5*f, -f - 8 = -3. Let d(i) = 10 + 1 - u*i - 2. Is d(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*l + 105*l + 129*l - 9*l.\nAnswer: 218*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 25.8 + -40.5. Let m = r - -15.18. What is m rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*s + 32554 + 81826 = 0. Suppose s + 215 = 5*n + 4*l, 2*l = 0. What are the prime factors of n?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7*-8690.\nAnswer: -60830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20 - 27225.\nAnswer: -27205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1 + -21?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 721842007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 254 minutes before 5:35 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*g + 10428*c - 10431*c + 17, 3*g - 2*c + 13 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 49*x**3 + 12*x + 31. Let l(s) = -50*s**3 - 10*s - 32. Let v = -193 - -199. Let n(m) = v*l(m) + 5*f(m). What is the derivative of n(g) wrt g?\nAnswer: -165*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 657894.3ns to minutes.\nAnswer: 0.000010964905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2 + 1\/1*1. Let d = 1314 - 1314. Suppose 5*i - 93 = 19*g - 21*g, -4*i - 4*g + 84 = d. Solve 5*w + y = -i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -6*j - 3. Let f be o(-1). Let y(i) = 3*i - 9. Let s be y(f). Solve 3*w - 2*w + 5 = -2*x, s = x - 5*w + 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 37 = -5*o - 6*l + 3*l, 2 = 2*l for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**2 + 599*p + 4. Let d be y(0). Put d, 2, 116, -29 in ascending order.\nAnswer: -29, 2, d, 116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7*12\/((-15)\/((-1275)\/(-238))).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -17 + 16. Let n be (-10)\/(-35) + 129\/63. Let g = 19\/9 - n. Which is greater: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -64730 >= -64812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*b - 100 + 132 = 0. Let y be ((-8)\/(-5))\/((-8)\/(-20)). Solve y*j - 5*v - 16 = 0, -j - 8 = -3*j + b*v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37082 is divided by 11540.\nAnswer: 2462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:12 AM and 9:54 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 327.3579t?\nAnswer: 327357900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 56448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 1.79662 to two dps.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 38, 85, 130, 173, 214, 253?\n\"Answer: -w**2 + 50*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 47127.17 millimeters?\nAnswer: 47127170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(7) + -4*(sqrt(7) + 1))**2 + sqrt(7).\nAnswer: 25*sqrt(7) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -4334*x - 1586*x = -1913*x - 120210 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5 + 13. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 6 + (260\/(-16))\/13*4. Are 3\/104 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3158*g**4 - 705*g**3 + 12601484?\nAnswer: 12632*g**3 - 2115*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1297\/4 or -323?\nAnswer: -1297\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is (151462\/(-6))\/((-186)\/558) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -23015 + 23044. Which is the nearest to -9? (a) f (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -37, -51, 4, -4, -5 in increasing order.\nAnswer: -51, -37, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 488656 and 350000.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k**4 + 2*k**4 - 5*k**4)*(86 + 35 - 2112*k - 210 + 88) + 0*k**5 + 0*k**5 - 5*k**5.\nAnswer: 2107*k**5 + k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes before 2:55 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z**3 + 7*z**2 - 85*z + 130. Let p be u(5). Put -40, p, 4 in decreasing order.\nAnswer: p, 4, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/((-162)\/(-72)) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 9, k: 11}. What is prob of picking 2 w?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 357, 332, 285, 210, 101, -48, -243, -490?\n\"Answer: -k**3 - 5*k**2 - 3*k + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*w - 11*w + 2. Are w and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((n*n**7\/n)\/n)\/n)\/n)\/(n\/(n\/(n*n**(-2\/11)*n))*n*n)*((n**(-2)\/n*n)\/n)\/n*n**4*n assuming n is positive.\nAnswer: n**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the second derivative of 14 - 1\/2*p**3 + 3\/2*p**2 + 2*p. Calculate c(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1397717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5767*f**2*m*t**3 - 24*f**2*m*t**2 + f**2*m*t - f*m*t + 4*f*t**2 - 2*m*t wrt t.\nAnswer: 34602*f**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 + -4. What is the common denominator of 107\/12 and (((-274)\/(-40))\/(-1))\/(6\/p)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -765 = -16*m + 6259. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*c + 4*c - 401*c**2 + 2*c - 1260*c**2 - 2*c to the form a*c**2 + w + g*c and give a.\nAnswer: -1661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0 + -18830\nAnswer: -18830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2930300 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v**3 + 3*v**3 - 4*v**2 - 5 + 2*v - v**3. Let m be y(4). Let g be 1*(4 + -1)*8\/(-6). Put g, 2, m in descending order.\nAnswer: m, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18574 divided by 1.\nAnswer: -18574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 18 and 154.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 6622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -c**4\/2 - 427*c**3\/2 - 29565*c**2 - 1204354*c + 17116748.\nAnswer: -(c - 11)*(c + 146)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0002943771 rounded to 6 decimal places?\nAnswer: 0.000294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1732, 3288, 4646, 5806, 6768?\nAnswer: 7532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5963937 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -11.1 (b) -12\/25 (c) -3\/10 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(168\/6)*(-18 - 72\/(-12))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p**3 + 5*p**2 - 11*p - 15. What is the remainder when 594 is divided by x(4)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = h + 9, -2*v = -h - 10 - 2. Let k = -1037 + 1026. Are h and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 591 minutes after 7:58 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 63 - -8?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d - 11*c + 8 = -12*c, 2*d = -5*c + 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 7, g: 5}. What is prob of picking 2 u?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 90904 and 3626863.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.07986 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 157831.\nAnswer: 157831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 2, z: 8, h: 1, b: 1, i: 3, m: 5}. Give prob of sequence hb.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 9 = -i, 4*i - 3*r = -r - 36. Let w(o) = o**3 + 9*o**2 - o - 5. Let d be w(i). Solve -3*v + 0*v = -d*a + 19, 2*a + 3*v + 13 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 2 - n**2 + 10*n - 5*n + 2*n**2. Let t be v(-5). Suppose 0 = b - 4 + 1. Which is smaller: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4\/6 - (-52)\/12. Suppose 0 = -2*c + v*c - 9. Let a(q) = 2*q + 7*q**3 + 1 - q**c - 3*q. Calculate a(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/3, -5, 4, 607\/42, 0 in increasing order.\nAnswer: -5, 0, 2\/3, 4, 607\/42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 457 minutes after 12:41 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3532 (base 16) in base 6?\nAnswer: 143014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*u - l - 0*l + 96, 4*u = -5*l + 204. Suppose 50 = 6*t - u. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 2294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -586.2 - -588. What is the third smallest value in -0.7, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8980 - 8980 + 10*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i**2 - 4*i - 15. Let r be d(7). What is the second smallest value in r, -2, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -381 (base 11) in base 2?\nAnswer: -111000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -550 + 549.7. Put 2, 38, n in ascending order.\nAnswer: n, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 69795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = -9 + 59. Suppose -k = -2*x + 30. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v - 4, l = -3*v - 20 - 20. Suppose -4*m - 7*m = -1892. Suppose z + 124 = -3*c, 2*c - m = 6*c - 2*z. Are l and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the first derivative of -f**6\/15 + 17*f**5\/60 - 3*f**2\/2 - 6. Let g(u) be the second derivative of y(u). What is the third derivative of g(p) wrt p?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -18 + 58. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20311 divided by -7875?\nAnswer: 20311\/7875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 18861097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-6)\/((-6)\/1)*(3 + -1). What is the closest to f in 1, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -44330289, -44330290, -44330291, -44330292, -44330293, -44330294?\n\"Answer: -f - 44330288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 6, r: 7}. Give prob of picking 3 b.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*f - 21 + 1113. Suppose 2*k + k - f = -4*l, 3*k - 3*l - 336 = 0. Let x = 146 - k. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -166*t - 22 + 5 - 29 + 211*t.\nAnswer: 45*t - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 12152859 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 2 = 4*k - 2*k, 0 = -3*t + 4*k + 22. Let i(p) = -1 - p + t - 4 + 0*p. Let w be i(-5). Solve -3 = -5*c + w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u**3 - 13*u**2 - 13*u - 10. Let z be s(-12). Let y(m) = -3*m - 7*m + 10*m - 2*m**z. Let o(n) = -19*n. Determine y(o(q)).\nAnswer: -722*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*w - 13 = -68 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v**10*v)\/v*v*v**(-1) assuming v is positive.\nAnswer: v**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-1)\/2)\/(2\/(-1196)). Suppose -152 = -5*b + 4*g + k, 454 = 5*b - g. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the first derivative of 5*o**4\/4 + 20*o**3\/3 + 22. Let t(i) = -4*i**2 + 2*i**2 + 3*i**2. Suppose 16*c + 258 + 51 = -11. Calculate c*t(d) + v(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes after 7:24 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -j + 6. Let z be (-2)\/(-11) + (-1002)\/66. Let p be 2*(5\/2)\/((-25)\/z). Solve -p*c = -0*c - j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**3 - 2*q**2 + 5*q + 6. Determine f(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.42 in -0.21, -22, 0.3, -1, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w + 5*y - 14, y + 13 = -3*w + 5*y. Let z = w + 4. What is s in 2 - 3*s**2 - 9*s**3 - 3*s**4 + 5 - z + 9*s = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*u**2 + 1264 - 87*u**4 - u**3 - 1265 - 3*u**2 to the form p*u**2 + b*u + z + g*u**4 + d*u**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -9 + (-45 - -61)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s**(-8))\/s)**43 assuming s is positive.\nAnswer: s**(-344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -156*v - 36 + 77*v + 22 - 77 + 93*v. Calculate a(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -211*d - 2935 - 2912 = 272 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 16 and 8232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add together -2825814799 and 7.\nAnswer: -2825814792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -9 - 1a43?\nAnswer: -1a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/2 of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 234007 to the nearest 1000.\nAnswer: 234000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l be 8\/20*(-5)\/3. Let c = l + 4\/3. Let r = 787 + -7079\/9. What is the nearest to c in -5, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 26 + 26 = -5*v, 24 = f - 4*v. Solve -2*x + 8 = -5*a, 3*x - a = f*x - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 3, 0.3, 2\/1747 in descending order.\nAnswer: 7, 3, 0.3, 2\/1747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 448 and 384.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -173*t + 172*t. Suppose -4*a - 3 - 5 = t, 146 = 4*j - a. What is the remainder when j is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60 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: (30\/21)\/(10\/35*(-1 + 2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {d: 1, n: 3, p: 5, s: 1, a: 1, u: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-18)\/(-15)*5\/2. Suppose -v = 4*v - 15. Let r = v + m. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4.8 + 4.8. What is the second biggest value in q, 0.5, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 178 + -168. Suppose 3*t - u*t = 0. Solve t = -5*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 915 and 4155.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1038 (c) 0.03 (d) 21\/2 (e) -12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 472 + -319. Suppose 0 = 2*n - 163 + d. Calculate the lowest common multiple of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 30 and 135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 3*a**2 + 5*a + 8. Let l be o(7). Let b = 223 + l. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2961557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -246\/5 in 0.3, -2\/9, -0.03, -202?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the second derivative of 89*k**6\/30 - k**5\/10 - 375*k**2 + 663*k. Differentiate b(m) with respect to m.\nAnswer: 356*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*g - 10 + 10)*(0 - 2 + 1)*(0 + 0 + 6*g**2).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1191 - 1189. Let r(i) be the first derivative of 1\/8*i**d + 0*i + 1\/12*i**3 - 6. What is n in r(n) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (-28)\/10 + 4\/80.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the first derivative of s**3 + 2*s**2 - 2*s - 4007. Let m(c) = 2*c**2 + 3*c - 2. Give -6*m(g) + 5*z(g).\nAnswer: 3*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 3716?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -4 (b) 5 (c) 2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*(5*sqrt(66)*-2 - sqrt(66)))\/(-1*sqrt(150)*4))**2.\nAnswer: 1331\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-11)*y*y)**50*y**(-2\/3)\/y**(10\/11) assuming y is positive.\nAnswer: y**(-14902\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -25 + 27. Suppose -l = -z*d, -2*d = -3*d - 5*l. Solve d = -4*g - 0*g + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3148422 and 101562.\nAnswer: 3148422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-41)\/(-41))\/(1\/2*-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -64*w + 14892 = 11884 for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -28, -31, -34?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -228557*n*v**5 - 619*n*v**4 - 2*n*v + 307863*n - 13*v wrt v.\nAnswer: -4571140*n*v**3 - 7428*n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 78\/5 (b) -9 (c) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 71474760 and 420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 205889 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -26*b**2 - 7*b - 54. Let z(u) = 53*u**2 + 14*u + 108. Let f(m) = -7*q(m) - 3*z(m). What is the tens digit of f(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -96 - 42 - 44 - 36*y + 182.\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -4431, -4702, -4979, -5268, -5575, -5906, -6267, -6664?\n\"Answer: -d**3 + 3*d**2 - 273*d - 4160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 3.93 and 1.\nAnswer: 3.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/3*(-23 - -6 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:01 AM and 1:47 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 225.23981 rounded to zero dps?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -503476*j**4 + 3*j**3 + 4804196*j**2.\nAnswer: -12083424*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 21463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (-7*s + 1 + 9*s + 5)*((-s - s + 4*s)*(-1 + 5 - 5) - 11*s - 2*s + 7*s) in the form k*s**2 + t*s + j and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27224 = 3*i - 3*v + 1283, -3*v = -5*i + 43223. What are the prime factors of i?\nAnswer: 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2370519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 73*r + 84*r - r**2 - 135*r + 45. What is the remainder when f(9) is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 1432310110 (base 5) to base 7\nAnswer: 44140203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -196701.155 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 82 is divided by 353\/9 - 6\/27 - -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = 2*l - 168, 4*z = -3*l + 230 + 36. Let p be 3\/(((-1)\/(-3))\/(3\/9)). Solve -p*n + l = 79 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1383, 5317, 11857, 20997, 32731, 47053?\n\"Answer: -y**3 + 1309*y**2 + 14*y + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(612) + -2 + sqrt(1700)*3 + (sqrt(833) + 0 + -1 - 6*(0 + sqrt(833))).\nAnswer: 2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c + c + 20. Let z(r) = -r**3 - 7*r**2 - r + 2. Let o be z(-7). Let n = o + c. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the first derivative of -5*o**7\/7 + 2*o**3 + 1. Find the third derivative of j(l) wrt l.\nAnswer: -600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 371 is divided by 123.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 12aa7 (base 11) to base 6.\nAnswer: 222130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s*s**3))\/s*s**(-3)*s)**(-42)\/((s*s*s**3)\/(s\/(s\/(s\/(s**(-3\/5)\/s)))))**7 assuming s is positive.\nAnswer: s**(1176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -822*g - 3276 - 2386 = -524*g for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 1 w, and 1 a when three letters picked without replacement from {w: 4, v: 5, l: 1, a: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 0 - -60?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + 7 + -5 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2861550350?\nAnswer: 2, 5, 29, 47, 199, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 857208 to the power of 1\/2, to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -542*p - 837*p - 2967 - 126239 - 3178 for p.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 30885422?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q + 9*q - 152 = 0. Let w be 2\/2*(q + -38). What is the greatest common divisor of 247 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 47 and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be (18\/21)\/(33\/154). What is the lowest common multiple of 10 and 6\/5*(14 - m)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.138469 and -0.55.\nAnswer: 0.07615795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.60349 from 144546809.\nAnswer: 144546809.60349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.2 (b) 0.1 (c) -1384093 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 18 = 4*c, 2*w - c = -2*w + 10. Solve 0*m - w*h + 2 = 3*m, -5*h - 14 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 3*y + 18 = 0, -3*v + 2*y = -15 + 42. Let r be (0 - v) + -1 + 1. Suppose 5*l = 2*l + r. Solve 5 = -4*f - l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (y**3 - 4*y**3 + 2*y**3)*(-8*y**2 - 4*y**2 + 9*y**2) - 440*y**2 + 435*y**2 + 5 + 4*y**5 - 2.\nAnswer: 7*y**5 - 5*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 68510, 68517, 68526, 68537, 68550?\n\"Answer: y**2 + 4*y + 68505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000105669 rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9993 + 9980.9. Which is the biggest value? (a) -3 (b) v (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -101\/2442176 and 93\/111008.\nAnswer: 2442176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 556.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 11 minutes before 6:49 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l**2 - 1. Let g be k(2). Suppose y - 88 = -g*y. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 64018460 is divided by 95836?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-120)\/(-14) + -3 + -5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 36183 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.4 and -386.\nAnswer: -385.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -179*m + 19 - 4*m**2 + 143*m + 25 - 4.\nAnswer: -4*(m - 1)*(m + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 divided by -15162.\nAnswer: 3\/5054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -174612068, -349224133, -523836196, -698448257, -873060316, -1047672373, -1222284428?\n\"Answer: l**2 - 174612068*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2779790 to the nearest integer?\nAnswer: 1667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -86\/2385 and -37\/15?\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -71 + 98. Let r be ((-168)\/(-36))\/((-60)\/h). Is -2 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/4, 1\/2, -4, 0, -1\/3 in descending order.\nAnswer: 1\/2, 0, -1\/4, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(931) - (sqrt(931) + 1 + sqrt(931)))*-5)**2 + (1*(-2 + sqrt(931))*3)**2.\nAnswer: 8498*sqrt(19) + 590915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 9, 1, -53 in decreasing order.\nAnswer: 9, 4, 1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -46*w**2 + 17*w + 42. Let n(l) = -15*l**2 + 6*l + 14. Let m(f) = -17*n(f) + 6*t(f). Find the first derivative of m(x) wrt x.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 3588, 7146, 10702, 14256?\n\"Answer: -o**2 + 3561*o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-5)\/56)\/(7 + (8 - 8)) and 103\/12?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:16 AM and 9:05 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -56 + (62 + -90 + (-1 - -12) - (0 - 13))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 597 and 8?\nAnswer: 4776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1792 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 71.004 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -135 + 134.3. Let d = -40.71 + 41.4122. Let b = d + z. What is b rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 72702.\nAnswer: 2, 3, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -18 - -7 - -14 - (-5 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -87\/2512 and -77\/1570.\nAnswer: 12560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 172290400 and 11320?\nAnswer: 172290400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 106595935559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 2 - 19 = 0. Suppose -s - 5 + 18 = 0. Calculate the remainder when s is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-28)\/(f**(21\/5)*f) assuming f is positive.\nAnswer: f**(-166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -64.52468 rounded to one dp?\nAnswer: -64.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (17*n - 19 - 11 + 53 - 11)*(-3 + 3 + 2*n) in the form w*n + y + g*n**2 and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29923*k + 29921*k = -3582. What is the greatest common factor of 45 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -5*m**2 + 11*m + 6. Let c(o) = 7*o**2 - 11*o - 8. Let h(p) = -9*c(p) - 12*d(p). Determine z so that h(z) = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.16666057 to 3 dps.\nAnswer: -0.167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20151?\nAnswer: 3, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = -34 - -37. Sort -2, h, -7 in ascending order.\nAnswer: -7, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 351710 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.07 + -2.93. Let i = -98.3 - -98.5. Which is the nearest to 0? (a) t (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 20112010 + 1201121101?\nAnswer: 1222010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -546 = -5*p + 3*x, -2*p + x + 208 = 5*x. Let s = 120 - p. Solve -3 = 2*r - 0*k - k, -k = -5*r - s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: 163 divided by -20836\nAnswer: -163\/20836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c - x + 2 - 1 = 0, -2*x - 2 = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76) + sqrt(76) + ((sqrt(76) + -1 - sqrt(76))*2)**2 - sqrt(76)) + sqrt(76).\nAnswer: 4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 2033 * 4\nAnswer: 8132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (498 - 0)*(-5)\/(-90)*9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 4*a = 268, a - 5 = -3. Let j = 381 + p. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -j**2 - j + 31. Calculate the remainder when 92 is divided by f(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 3*g**3 - 4*g**2 - g - 3. Suppose -2*d + 16 + 6 = 0. Suppose 0*y + 10 = 4*n + 2*y, d = -n - 5*y. Is a(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 708 - 724.06. Round a to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -2*p + 2*w - 3*w, -2*p = 4*w + 12. Sort 5, -4, p, 7.\nAnswer: -4, p, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -3*a**3 + 3*a**2 - a + 15. Let c(q) = 7*q**3 - 7*q**2 + 2*q - 31. Let p(i) = -2*c(i) - 5*h(i). Calculate p(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + o + 0 = -118, 128 = 3*h + 4*o. Is h < 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor z**2\/2 - 7*z - 16.\nAnswer: (z - 16)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -21 + -35 - -55 - -72\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(2025)\/sqrt(5))*3.\nAnswer: 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/17 (b) -6.96 (c) -1 (d) 106 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 5*t + 68. Calculate z(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 224501 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be (23\/1)\/(4\/(-4)). Let x = 8 - z. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = -t + 5*t, 2*t = -4*f + 20. Let s(g) = 3*g - 4. Let c(y) = -12*y + 18. Let q(a) = f*c(a) + 18*s(a). Let v(h) = 22*h. Give q(v(u)).\nAnswer: 132*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0, -0.2, -2\/17, 4, -102, 8\/417?\nAnswer: 8\/417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -5593.5 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 2*c**3 - 2*c**2 - 2*c + 1. Let p be n(2). Suppose b + p*m + 80 = -b, -2*b - 76 = 3*m. Is -36 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11 + -9. Suppose -5*h = -13 - o. Let f be ((-4)\/3)\/((-130)\/(-15)). What is the biggest value in f, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27049 is divided by 386.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 0 + 9 = 0. Suppose -n*t = 5*i - 5, -5*i + 3 = -3*t - 2*i. Let u be t + 20 + (-2 - 0). Solve 3*s = -2*k - u, -5*s + 8 = -3*k + 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 84921, 85373, 86125, 87177?\nAnswer: 88529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48 = 38*h - 26*h. Suppose h*c = j + j + 648, -j = -5*c + 810. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -64 + 150. Let o = x - 82. Suppose -3*y = 5*b - 317, -6*b - 411 = -o*y - b. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(3 + 2*((-4 + 2 + sqrt(325) - (-1 + (-3 + sqrt(325) + sqrt(325) - sqrt(325))))*-1)**2).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1449 and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5 + 4.6. Let u = 30.8 + -31. Which is the third biggest value? (a) s (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-1)\/(-2))\/((-3)\/(-12)). Let y be 17\/3 - a\/3. Suppose c + 3 = y. What is the highest common factor of 14 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*h**4 + 1 + 124*h**3 - 2*h - 2*h**4 - 108*h**3 + 74*h**3 in the form l*h**2 + g*h + t*h**3 + j*h**4 + r and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, t: 3, x: 3, u: 3, j: 6}. What is prob of picking 1 u and 1 z?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be 7\/(-28) + 113\/4. Suppose 4*j - 4*z - 16 = o, -5*j = z - 43. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -4*u + 1. Let c(b) = 3*b - 1. Let j(r) = 3*c(r) + 2*v(r). Let w be j(4). Solve -2*s = -3*o - 5, w*s + 9 + 3 = -2*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zznzzqqqqqqqtqq. What is prob of sequence qz?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.5? (a) -0.341 (b) 1\/3 (c) 5 (d) 0 (e) -0.1 (f) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in seven eighths of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 + 8. Let a(w) = -2*w**2 + 7*w - 2*w**2 - 8 + l*w**2. Does 11 divide a(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 132012313 (base 4) to base 15\nAnswer: 26814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 56211 divided by -18737\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1086 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of (-42)\/(-7) - (1 - (-1 - 1)) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24506 is divided by 1884?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -5*c**2 - 4*c - 5. Let i(m) = 661 - 298 - 5*m**2 - 3*m - 367. Determine -4*i(b) + 3*x(b).\nAnswer: 5*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-2)\/(-4))\/((-6)\/36). Let j be 7 - ((-3)\/n - 1). Let u be (-1 - 1) + j*4. What is the greatest common factor of u and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -4 + 3*c + 1 + 1 - 11*c**2 - 28 + 3*c**3 + 7. Let r(o) = -o**3 + 4*o**2 - o + 8. Determine -11*r(x) - 4*s(x).\nAnswer: -x**3 - x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 6616 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 408 + 175*d**3 - 408.\nAnswer: 175*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/15, -6\/65, -0.02?\nAnswer: -6\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2 - 6)\/(-2)*1. Suppose -x*i - 3 = -3*i. Does 5 divide (-9)\/6*(-20)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4766256 to the nearest integer?\nAnswer: 2183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 48 - 20 = b, -20 = 4*b. Let k = 48 - i. Solve k = 7*p - 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2876.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4.5 - -7. Let h = -11 + 9. Let b = k + h. Put b, -5, 4 in decreasing order.\nAnswer: 4, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.12 + -0.82. Let d = -0.01024 + -4.28976. Let l = d + f. What is the second biggest value in -3, l, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 255a6 (base 12) in base 3?\nAnswer: 2120220100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 155.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 531*t - 376. Determine y(1).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 3*p + 29. Let g be j(-7). Let h be 0*(3\/(-6))\/((-4)\/g). Suppose -x + 28 = l, 32 = 4*l - 4*x - 56. Solve -b + h*b = f - 3, -3*b + 5*f = -l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 682908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the third derivative of 5*s**4\/24 + s**3\/6 + s**2. Let y(d) = -7*d - 52. Let x be y(-7). Let m(r) = -14*r - 2. Calculate x*m(n) - 8*g(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 5\/74?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Are 3390306 and 3390308 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 31529 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**3 - 13*a**2 + 10*a - 11. Let z be p(-14). Suppose z = 5*s - 70. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 601313?\nAnswer: 601313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence en when two letters picked without replacement from sinemmez.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 17574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes before 1:20 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 14650796 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -189*i**2 - 5*i. Let k(d) = -188*d**2 - 4*d. Determine 4*a(s) - 5*k(s).\nAnswer: 184*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - (-3 + -14 + (8 - 6) + -4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -0.05, -3, 5, -5, -7, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67*q - 433998 - 259720 = 0. Calculate the remainder when q is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 29 = 8*b. What is the closest to 3 in 0.03, -4, b?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 492 is divided by 174.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1198829*u**2 - 12424*u - 4 wrt u?\nAnswer: -2397658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -26*z + 20*z - 1 - 1 - 131*z. Suppose 0 = 4*c - 2*l + 2, 3*c + 2*l = c - 4. What is the hundreds digit of o(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -133 in -4, -0.4, -2683?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11 + -13230?\nAnswer: -13301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 19 = -2*p, -6*f + f - 4 = -p. Let r(z) = z + 14. Let c be r(p). Find the second derivative of -58*m**4 + 2*m + 58*m**4 + c*m**5 wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from azmaaazmuaa. Give prob of sequence zmaa.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -3*q + 6. Let p = -49 - -53. Give f(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c - 0 + 9. Let s(t) = t - 2. What is s(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1741256863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:26 PM and 7:54 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 23 - 26. Let a(v) = 3*v + 22. Let n be a(w). Solve 0 = n*d - 9*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vpruprppcruvc. What is prob of sequence cuvp?\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 3, q: 11}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1723052 + 2781*i**2 - 1723052 + 2782*i**2 - 5569*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = w - 2*w + 2. Let p = w - -4. Let b = -1 + p. Solve b*g = 5*j + 2*g + 16, 4*g = -j - 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 5 + 868\/372 + 14\/(-6). Solve 10 = 3*y + 4*c, 19 - 34 = -z*y - 5*c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -16 (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**3 - 4*h**2 + 2*h + 4. Let g be y(-4). Let n be 3 - (-1)\/2*g. Let v be (n - 0) + 5 + -6. Solve 4*z + j + 10 = v, 7 = 5*z - 10*z - 4*j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 22\/7 (b) 4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0006088 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u be -4 - (-1 + -9) - 2. Let c(p) = 4*p - 5. Let r be c(u). Suppose -9*t + r*t = -10. Is -0.1 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 1117, 2119, 3125, 4135?\n\"Answer: 2*n**2 + 996*n + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = h - 4 - 1, -4*r + 20 = 4*h. Let i be ((8\/1)\/2)\/2. Solve i*m = 5*y - 14, r = -2*y + m - 2 + 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d - 5*z - 45 = -17, -2*z = 3*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of -3 + 2 - -3 - 868\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7508181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5222, 834, -6486, -16744, -29946?\nAnswer: -46098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*a + 4*b = -3*a - 19 - 2, 3*a - 73*b + 3 = -153*b + 82*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 5*r = -0*d + 9, 2*d = 4*r + 6. Let f(g) = 5 + g - 5*g + d*g. Suppose 2*q = -2*t + 6, -4*q + 18 = -457*t + 455*t. What is f(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (1 + 10\/(-6))\/((-5)\/(-387)*(-3054)\/(-2545))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 492 divided by 3?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-4\/9)*k**(8\/11) assuming k is positive.\nAnswer: k**(28\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -40*r**2 - 27*r + 44. Determine y(3).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*l**4 + 4400*l**3 + l**5 - 4400*l**3 + 2*l + (4*l - 5*l + 4*l)*(l**4 - 5*l**4 + l**4).\nAnswer: -8*l**5 - 5*l**4 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-236)\/30)\/(4\/6). Let d be (-65)\/(-518) + 644\/(-11914) - 155\/14. Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 11*l**2 - 5. Let x(k) = 229*k**2 - 236*k**2 - 1 + 4. Give 5*c(z) + 8*x(z).\nAnswer: -z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the third derivative of 553*n**6\/120 + 371*n**3\/6 + 918*n**2. Find the first derivative of l(r) wrt r.\nAnswer: 1659*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -12, -132, -330, -606, -960, -1392, -1902?\n\"Answer: -39*h**2 - 3*h + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 587*c - 9549*c + 1 - 2627*c.\nAnswer: -11589*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 + 3.55. What is c rounded to one decimal place?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -17*h + 5. Let n(v) = 22*v - 6. Let u(j) = -4*f(j) - 3*n(j). Give u(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r**3 + 5*r**2 + 4. Suppose -3*x + 144 = 12. Suppose -2*f + x = -0. Calculate the least common multiple of f and s(-4).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2944915 bigger than -2944909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 1, e: 4, f: 2, a: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1492 and 17531?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*o = 12*o + 13. Let z = o + -16. Is z at least -17\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k**2 + 23*k - 124. Suppose x - 5*r = -3*x + 55, 0 = -4*r + 4. Let y be m(x). Put -1, -26, y in descending order.\nAnswer: -1, y, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -9592959 by 9592959.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -21 - -22. Suppose -18 = -3*q - 3. Put x, -4, q in ascending order.\nAnswer: -4, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f + 33 = -3*f. Let h be (-1)\/3*(3 + -3 + -3). Let o = h + 10. What is the highest common factor of f and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 87611805 + -2277459749\/26. Let t = -17196 + x. What is the common denominator of -139\/18 and t?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 5, u: 8, d: 5}. Give prob of picking 3 d and 1 u.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*t**2 - 20*t - 24.\nAnswer: 4*(t - 6)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -2229, -2223, -2215, -2205, -2193?\n\"Answer: s**2 + 3*s - 2233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 110221102111211201 - -2?\nAnswer: 110221102111211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from {s: 8, j: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + 3 - 23 = 0. Calculate the greatest common factor of 32 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -118*d + 108*d + 7130. What is the remainder when d is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*u**2 + 8*u**2 + 12733*u**3 - 27*u**2.\nAnswer: 12733*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 183089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -5 + 100*d + 47*d + 47*d + 133*d. Is h(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*r - r + 3*r)*(r - 1 + 1) - 3*r**2 + 7*r**2 - 3*r**2 - 599*r**2 - 493*r**2 + 1 - 303*r**2.\nAnswer: -1392*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 34454 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: Calculate the highest common factor of 179 and 1032830.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3096 = 28*i + 3040 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 544.3285803 rounded to the nearest ten?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6874683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 38776421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 155 + -25. What is the remainder when k is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1459412074?\nAnswer: 2, 83, 8791639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 13712, 13711, 13712, 13715, 13720?\n\"Answer: j**2 - 4*j + 13715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -0*t - 1042. Let m = -4219\/4 - t. What is the common denominator of m and 332\/16*4\/(-22)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -2\/3, 3, -3518, 0, 6, 5, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -v**2 + 13*v - 22. What is the remainder when -1 + 83 + (-14)\/7 is divided by z(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5648 is divided by 1623?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -157\/2832546 and -77\/376826.\nAnswer: 252096594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 878452 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1905.19945 - 1899.2. Let n = -108 - -114. Let p = c - n. Round p to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -4 + 2 + 0 + -3. What are the prime factors of 90\/12*(-4)\/y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bmll when four letters picked without replacement from {l: 3, m: 1, d: 1, b: 1, g: 6, n: 1}?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 24 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + 1 + sqrt(425) - (sqrt(425) + sqrt(425) + 0 + 1))**2 + 4 + (3*sqrt(425)*3 + (sqrt(425) - (sqrt(425)*3 + -5)))**2.\nAnswer: 380*sqrt(17) + 21288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: -16a349 (base 12) to base 2\nAnswer: -1011111011101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -69\/58288 and 79\/72?\nAnswer: 524592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k + 18 + 0 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*(-6)\/5*(-27)\/16929*55?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = -6*s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 68045 - -164976. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -60604605.44939 minus 0.1?\nAnswer: -60604605.54939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 134 (base 16) in base 3?\nAnswer: 102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1441 + -1445. Let y be 4*14*(-1)\/(-8). Let t be y\/9 + (-2)\/6. Which is the biggest value? (a) 2 (b) v (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from {a: 1, i: 2, n: 5, u: 2, v: 1, b: 6}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -9*u - 7. Let h(m) = -6*m - 5. Let t(z) = -5*g(z) + 7*h(z). Let r(x) = -x. Determine t(r(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:26 AM and 9:55 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 67, -5, 1\/188 in decreasing order.\nAnswer: 67, 1\/188, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f - 1167 = 3*f - 5*x, 3*f - 1167 = -4*x. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 547*d*o*u**3 - d*o*u**2 - 95*d*o*u - 6272*d*u**3 + 48*o*u**2 - 69*o*u wrt u?\nAnswer: 3282*d*o - 37632*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -5284*z**2 + 3624*z + 5. Let l(u) = 2642*u**2 - 1811*u - 2. Let j(c) = 5*l(c) + 2*m(c). What is the second derivative of j(s) wrt s?\nAnswer: 5284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 3*d. Let u be (-4)\/10 - 124\/(-10). Let i be 11 - (-9 + 9 + 9). Let x(t) = u - t + i*t - 12. Give x(l(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -6830, -13750, -20672, -27596, -34522, -41450?\n\"Answer: -w**2 - 6917*w + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 278 divided by 4?\nAnswer: 139\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = -5*j, 19 = -2*j - 3*o - 6. Let p(c) = -c**2 + c - 1. Let y be p(2). Let f = 32 - 27. Put y, f, j in descending order.\nAnswer: f, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 18331.54 + -18533. What is u rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 greater than -1647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -1 + 3*k - 1 + 0*k. Let s be a(-2). Let z = 8 + s. Is z less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 + -4. Let h(x) = 12 + 4*x**2 - 4*x + 4*x + x - 5*x**2. List the prime factors of h(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.05 or -13\/12?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**2 - 14*k - 19. Calculate the remainder when 22 is divided by h(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5027524 and 276.\nAnswer: 15082572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = -25, 5*m = -3*n + 2*n + 1530. Find the common denominator of -103\/14 and (m\/(-6))\/(-5)*(-6)\/(-20).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -17\/2 in -5, -6, 5, -0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 1001001000101001001 (base 2) to base 6\nAnswer: 10225453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the third derivative of -1\/60*s**5 + 0*s + 5\/24*s**4 - 1\/3*s**3 + 2 - 134*s**2. Give t(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 295392.\nAnswer: 2, 3, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -a - k + 5, 0 = 3*a - 2*k - 37. Let d(f) = f - 15. Let h be d(a). Let h*s + 0 + 2\/3*s**2 = 0. Calculate s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*o - 460 = -17*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 6 - 807817?\nAnswer: -807811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 102 - 1011102022?\nAnswer: -1011101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.3 (b) -2\/933 (c) -1.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 - 7 = -3*d. Let c(g) = 200*g**3 + 2*g - 1. Is c(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -13 - 7 - 12*o - 21 + 30. What is the remainder when 122 is divided by k(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -245.145522 to 2 dps.\nAnswer: -245.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 973*k**2 - 3084*k**2 + 997*k**2 + 1127*k**2.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zyyyyzzyyyyyyyzyyyy. Give prob of sequence yy.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 218 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be 93\/(-558)*(-1)\/((-4)\/694). Let l = f + 63\/4. Calculate the common denominator of 99\/86 and l.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 17576673 and 381?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c = 5*g + 43, 3*g + 1304 = 6*c + 1283 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2686, -5401, -8116?\nAnswer: -10831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -14*m**2 + 2755. Let a(y) = y. Give o(a(l)).\nAnswer: -14*l**2 + 2755","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*v**3 + 251499*v**2 + 7509*v - 92 wrt v?\nAnswer: 18*v + 502998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 406*n - 130*n = 126*n + 135*n + 600 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand 1782*a + a**2 - 1778*a + 2*a**2 + (2*a**2 - 1 + 1)*(-1 + 0 + 0).\nAnswer: a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Add -2100684 and 2.24.\nAnswer: -2100681.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the third derivative of p**6\/120 + p**4\/24 - 5*p**2. Give n(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7\/(252\/15))\/(-29*57\/2204)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -28*a + 611. Let b(f) = -22*f + 612. What is 5*b(i) - 4*l(i)?\nAnswer: 2*i + 616","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -y - 1. Let j(q) = 23*q + 2. Let f = -15360 + 15356. Give f*w(a) - j(a).\nAnswer: -19*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 2 z when three letters picked without replacement from {i: 2, z: 2, b: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 6035830147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*o**2 + 20*o**2 + 20*o**2 + 4*o**2 + 56*o**2 - 33*o**2.\nAnswer: 86*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.1 and 51386479.\nAnswer: 51386479.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/(-92) + (-228)\/552)*((-64)\/(-7))\/2?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*m - 437 - 123 = -65*m. Solve m = -p + 3 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -215 in 2, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**2 - f. Let s(i) = 3*i**2 - 4*i. Let r(v) = -2*o(v) - s(v). Suppose 12*l = 5*l + 42. Determine r(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-1\/10)\/(x\/(x**(-6)\/x)) assuming x is positive.\nAnswer: x**(-81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 366258, 0.4, 1.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the second derivative of w**5\/20 + w**4\/2 - 5*w**3\/6 + 5*w**2\/2 + 38*w. Calculate l(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 58 and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -4*q - 3. Let z(r) = -8*r**2 - 695*r - 2. Give z(p(d)).\nAnswer: -128*d**2 + 2588*d + 2011","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-6)\/(2\/(-54)*3). Let v be ((-12)\/18)\/((-4)\/l). Let j(b) = -b**2 + 8*b + 12. Let x be j(v). Solve -w + 5 = h + 2, x*h = -3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-21)\/(-24)*16\/84*-1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-157 + 49*i + 157 + (i + 0*i + 0*i)*(1 + 3 - 2))*(5*i - 5 + 5) + (2 - 2 + i)*(-i + 4*i - 2*i).\nAnswer: 256*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2538139 to the power of 1\/2, to the nearest integer?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1920, -14921, -50208, -118923, -232208?\n\"Answer: -1857*p**3 - p**2 + p - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the first derivative of -h**6\/18 - 14*h**5\/15 - 73*h**4\/12 - 172*h**3\/9 - 88*h**2\/3 - 64*h\/3 - 17. Factor a(y).\nAnswer: -(y + 1)**2*(y + 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 828.7887ml to litres.\nAnswer: 0.8287887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 287079412 is divided by 1097.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**2 + 11*j + 19. Let q be v(-2). Sort 12, q, -1 in decreasing order.\nAnswer: 12, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the second derivative of i**4\/48 + 9*i**3\/2 + 729*i**2\/2 - 278*i. Suppose u(g) = 0. What is g?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3807 + -3806.7. What is the fourth biggest value in 0, 4, -5, w, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 84 - 47. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = -2*v - 3*y, 7*v - 2*v + 3*y = -25. Let u(d) = d**2 - 3*d - 5. Let l be u(v). Suppose 2*x - l = x. Solve 5*b - 4*h - 4 = 5, -5*h - x = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 277 or 279?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = -15 + 46. Calculate the remainder when b is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d*d**18*d*d**(-2\/33)*d)**43 assuming d is positive.\nAnswer: d**(31132\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be -3*(5 - 6 - 0). Solve 2*o = 3*o, -3*k + s = -2*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 79 divide -65 - -73 - 101*-14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2 - 1 - (1 + 0). Let j = -6.3 - 274.7. Let u = -285 - j. What is the biggest value in u, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42 minutes before 12:31 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = g**2 - 10*g + 11. Let n be p(9). Let f be (-102)\/(-6) - (n - 2). Let r = f - 10. Solve 5 = 5*o - r*a + 2*a, 3*o - 11 = a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1917502*d**3 + 1459*d**2 + 54*d wrt d.\nAnswer: -11505012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (-7*y - 11*y + 0*y + 4*y)*(-239 + 122 - 121) as x + b*y and give b.\nAnswer: 3332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2 + 3)*(-23 + -4). Let q = b - -44. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the third derivative of -797*i**8\/84 - i**5\/20 - 2*i**4\/3 + 11*i**3\/6 + 2*i**2 - 45*i - 17. Find the third derivative of u(k) wrt k.\nAnswer: -191280*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 2*r**2 + 7*r + 6. Suppose v = -u + 11, 2*v + v + 5*u - 23 = 0. Let y be (2 - v\/6)*6. Is j(y) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(-4 + 2*(3*-4*(sqrt(2057)*-2)**2 + (-3 + (2 + sqrt(2057))**2)*6)).\nAnswer: -691120 + 2112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = -2*y - 2*y, -y - 4 = 3*p. Find the third derivative of d**2 - 4*d**y - d**5 - 4*d**2 + 4*d**2 wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l**3 + 6*l**2 - 2*l + 11. Let f be j(6). Let d be (18\/72)\/(f + 7\/6). Sort 2\/9, 3, d in descending order.\nAnswer: 3, d, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -86 - (-4 + -1 + -1 - (348 - 334)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes before 6:01 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -2b (base 13) in base 2?\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 27*o - 3. Calculate n(-3).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.16 (c) 0.1 (d) -0.3 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (187*(-25)\/(-2750))\/17?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 257 - 641 = -8*l. Let w be (1 - 1)\/2 - 3. Let i = 15 + w. Calculate the greatest common divisor of l and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:46 PM and 2:02 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27815 is divided by 265.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) 2\/9 (b) 0 (c) -35 (d) -5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2325785034?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -756 - -745. Let p be (m\/22)\/((-3)\/24). Let 25*s + 35\/4*s**3 - 10 - 5\/4*s**p - 45\/2*s**2 = 0. What is s?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -4, 2 in increasing order.\nAnswer: -8, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 3 = -2, 3*r = -5*b + 133. Let z = 107 - b. What is the remainder when z is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55*y**5\/3 + 917905*y**4\/3 - 3833980940*y**3\/3 + 35117905100*y**2\/3 + 10665748000*y - 2318520000 = 0. Calculate y.\nAnswer: -1, 2\/11, 10, 8340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -143*m + 964*m**2 - 902*m**2 + 1416*m**2 + 739*m**2 + 143*m.\nAnswer: 2217*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -4*x**3 - x**2 - x. Let u be l(-1). Suppose -5*y = -u*t + 44, y + 5*t + 3 = -0. Let s = 8 + y. Solve 0 = 3*w - s + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 458 minutes after 6:11 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**4 + 4*b**3 + b**2 - 4*b.\nAnswer: -b*(b - 4)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 75\/2 of a kilogram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = k**3 + k**2 - k + 1. Let r(s) = 9*s**3 + 2*s**2 - 2*s + 2. Determine r(m) - 2*t(m).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -z. Let d(g) = -2*g. Let a(p) = -d(p) + 4*n(p). Let k(o) = 17*o - 2. Give a(k(v)).\nAnswer: -34*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -15*j + 4*p + 40, -5*j = p - 11649 + 11624 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 243 minutes before 3:13 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.7 - 2.2. Suppose 4*d = 3*d + 2. Suppose -d*c + 10 - 4 = 0. Put l, c, -5 in increasing order.\nAnswer: -5, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*(h\/(h*h**(-4)*h))\/h*h)\/h*h*h*h\/h**(-4\/3)*h assuming h is positive.\nAnswer: h**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 36222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 586 minutes before 4:52 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2510041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1938190.\nAnswer: 2, 5, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1 + 2)\/1 - -1. Let p(i) = 22*i - 3. Let k(l) = 2*l**2 - 21. What is the remainder when p(f) is divided by k(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z**5\/9 + 755*z**4\/9 - 3034*z**3\/9 + 1522*z**2\/9 + 337*z - 253 = 0. What is z?\nAnswer: -759, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.17 - 9.17. Let u = w + 10. What is the closest to 1 in u, -2, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 589 = -88*i + 119*i. Solve -5*c - i - 11 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 61*o - 63*o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:04 PM and 1:09 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 28 (base 10) to base 13.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 15 = 5*q. Let x = 10 + 3. What is the units digit of q\/(2 - x\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the third derivative of r**5\/15 - 5*r**4\/12 - 11*r**3\/6 - 5*r**2 - 4. What are the prime factors of t(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1849 - 899. What is the greatest common factor of m and 1330?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -2*t - 7426. Let z(y) = 7*y - 13. Calculate k(z(w)).\nAnswer: -14*w - 7400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 100, 259, 526, 901?\nAnswer: 1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**0\/(o**(-1)\/o))\/(o**(-1\/2)*o*o\/(o**(2\/21)\/o)*o) assuming o is positive.\nAnswer: o**(-59\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 10206111 + -6?\nAnswer: 10206102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 8814.66 hours in seconds?\nAnswer: 31732776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64 = -5*h + h. Suppose 4*a = -109 + 101, -3*p + 131 = 2*a. What is the remainder when p is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 8*n**2. Let m(j) be the first derivative of -9*j**2 - 37. Give d(m(h)).\nAnswer: 2592*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 3233*i**2 + 3217*i + 5. Is d(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -102 + 212 + (-50 - 17)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5545*p + 16643*p + p**2 - 5552*p - 5546*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 339462 is divided by 169721.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1691252.\nAnswer: 2, 563, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 93347.4 and 3?\nAnswer: 280042.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 17100225 divided by -2\nAnswer: -17100225\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(55)\/(sqrt(11) + sqrt(33)\/sqrt(3)) - (sqrt(45) + sqrt(5) + -1))*-2)**2 + 5 + 5*sqrt(1280).\nAnswer: 52*sqrt(5) + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -3 < -143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = j**2 + 2*j - 2. Let h be p(-2). Calculate the remainder when (190\/h)\/(-2 - -1) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u = 4*b + b + 10, 0 = 5*u + 4*b + 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 7*o**5 + 2*o**4 - o**2 + 2*o - 2. Let y(t) = 7*t**5 + 3*t**4 - 2*t**2 + 3*t - 3. Let i(b) = 3*j(b) - 2*y(b). Find the third derivative of i(u) wrt u.\nAnswer: 420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) -0.0688 (c) -1070\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 184 and 2?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -12*j**3 + 4946*j**2 + 3 - 3 + 46*j**4 - 16*j**3 + 47*j**3 wrt j.\nAnswer: 1104*j + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2973.5 + 2974. What is the biggest value in u, -13, 6\/23, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/18)\/((-8)\/30) + 4\/8.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 332613270?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 + 2 - x + (4 - 2 - 1)*(x + 3*x - 2*x) + 3*x - x + 0*x + (2 - 3 - 1)*(-598*x - 15884 + 15884) + (0*x + 2*x - x)*(2 - 3 + 2).\nAnswer: 1200*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 45204*a**6*v**2 + 392*a**2*v**2 - 5*a**2*v + a*v**2 + 2*a wrt a?\nAnswer: 5424480*a**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (1 - 3 - 2)\/(1722\/(-105) - -16)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 9, 2, 1\/33, -2\/11?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 2 (b) -6 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Are -6073723\/6 and -1012287 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = -934 - -1371. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 24 = -t. Let b(v) = -v. Let p(r) = 4*r + 5. Let a(j) = -5*j - 6. Let n(s) = -5*a(s) - 6*p(s). Let m = 23 + -16. What is m*n(f) + t*b(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 3.268157 centimeters?\nAnswer: 0.03268157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 231 is divided by 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -24681 minus -0.1778665?\nAnswer: -24680.8221335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*o**3 + 3*o**3 + 4*o**3)*(932 + 292 - 357).\nAnswer: 1734*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*x = 11*x + 318. What are the prime factors of x?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 225.94 plus -6?\nAnswer: 219.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply -26084 and -0.9.\nAnswer: 23475.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-48)\/(-64))\/((-1)\/(-4)). Put -4, -2, p in increasing order.\nAnswer: -4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 0*t**3 + 48*t**2 - 58*t**2 + 5 - t**3. Let d be j(-10). Let r(m) = -2*m + 2. Calculate r(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 88\/1744665 and -71\/1744665?\nAnswer: 1744665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the second derivative of 23*l**4\/2 + 148*l. Let k(w) = 150*w**2 - 18 - 148*w**2 + 18. Give j(k(v)).\nAnswer: 552*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 202 divided by 210112?\nAnswer: 101\/105056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 38 = 2*u, -3*u + 2 = -n - u. Is -2 + (-8)\/n*-12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 2*m**3 - m**2 - 2*m - 254. Let n(t) = 3*t**3 - t**2 - 3*t - 253. Let h(w) = -4*g(w) + 3*n(w). Is h(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 92 + -99. Let i be 5*((-56)\/20)\/d. Find the second derivative of 0*n**2 + 2 + 9*n - 2*n**i - 3 - 4*n**3 + 3*n wrt n.\nAnswer: -24*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(52)\/sqrt(2)*3)\/sqrt(2) - (-4 + (sqrt(52))**2 + -3).\nAnswer: -45 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*d**2*t**2 - 3*d**2*t - 2*d**2 - 1472*d + 27*t wrt t.\nAnswer: -4*d**2*t - 3*d**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 129a95 (base 13) to base 15.\nAnswer: 8d500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = 2*y - 164, 3*z = -y - 2*z + 75. Calculate the remainder when y is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 64005900 is divided by 914370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 78 = -21*x. Which is the nearest to x? (a) 1 (b) 1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -55.9899 + 56. Round n to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 290704 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 3 = -3. Let r = v - -6. Solve 2 = -2*i, 2*l - 3*l - r*i = -1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 4*l**2 + 2*l + 1. Let z be t(-1). Suppose 0 = -2*g + z*f - 1, 65 = -5*g - 2*f - 3*f. Let x = -4 - g. Solve 13 = 4*i + u, -2*i - x*u = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the third derivative of x**8\/252 + x**7\/90 + x**6\/180 - x**5\/180 + x**2 - 7*x. Let h(f) = 0. What is f?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -1781, -5323, -11235, -19523, -30193, -43251?\n\"Answer: -r**3 - 1179*r**2 + 2*r - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -n + 3*v - 0 - 4, -n - 4 = 2*v. Let i(f) = f - 5. What is i(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9437.928 rounded to the nearest 100?\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8248190 and 2.\nAnswer: 8248190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 344*j**2 + 3 - 86*j**2 + j - 87*j**2 - 86*j**2 - 2*j**3 - 88*j**2 - 2*j**4 to the form y*j**3 + u + f*j + d*j**2 + m*j**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12 - -6. Let a = -6.3 - m. What is the second biggest value in a, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 110535852 is divided by 3615?\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 4718, 4476, 4232, 3986, 3738?\n\"Answer: -f**2 - 239*f + 4958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 474*y**3 - 2*y**2 - 3*y - 1. Let w(i) = -1423*i**3 + 7*i**2 + 10*i + 3. Let t(f) = -7*k(f) - 2*w(f). List the prime factors of t(-1).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*l**2 + 14*l**2 - 5*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -7.5959 rounded to 2 decimal places?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 28861 and 1085?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 832487790?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -96871 (base 10) in base 8?\nAnswer: -275147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 2*s + 24. Let x be l(-12). Suppose 3*n + x*c = c + 23, 3*n - 31 = -c. Let w(g) = 15 + g**2 - 25 - 2*g + n. Calculate w(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**3 - 5*o**2 - 5*o + 1. Let t be l(-4). Suppose 0 = -2*m + t*g + 43, -68 = -4*m + 2*g + 2*g. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -7*o**2 - 4*o + 4. Suppose 9*a - 6*a = -12. Let q(v) = -8*v**2 - 5*v + 5. Let s = -6 - -7. Let m be s\/(((-1)\/(-5))\/1). Give a*q(l) + m*w(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19844 is divided by 588?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 106*c - 118. Let u be m(-4). What is the closest to -0.1 in -3, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c such that 15*c**5 - 366*c**4 + 759*c**3 + 744*c**2 - 396*c = 0.\nAnswer: -1, 0, 2\/5, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 5519888667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the first derivative of -s**3\/3 + 11*s**2\/2 + s - 240. Let b be u(11). Let i(v) = -2*v**3 + 5*v**2. Let d(y) = -y**3 + y**2. Give b*i(k) - 6*d(k).\nAnswer: 4*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4)\/6*(100\/8 - -1). Is 28 a factor of z\/(-6) + 7770\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = o - 2*o + 217, m + 4*o = 87. Suppose -61 = -3*t + m. Let s = t + 0. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hyhhyhyhghygg. What is prob of picking 1 h, 1 y, and 1 g?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 175 = -5*u, 0 = -3*w + 7*w - 5*u - 275. Suppose -w = -6*v + v. Suppose -18*t + v*t = -72. Calculate the highest common factor of t and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -14*3\/(-6) + 3. What is the units digit of 1*16 - (s + -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2151 + 2090. Which is smaller: -684\/11 or g?\nAnswer: -684\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + i + 4*v = 450004, -v - 449999 = i. What is i rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from agaaagaaaahgahagaag. What is prob of picking 2 g?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.254 * 0.022.\nAnswer: -0.005588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find x such that -134*x**3\/5 - 309786*x**2\/5 - 35803632*x + 29399392\/5 = 0.\nAnswer: -1156, 11\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -134010 to the nearest one thousand.\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 158174 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 102 divide 5841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {v: 1, f: 5, l: 4, g: 8}?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 735.852 nanometers in micrometers?\nAnswer: 0.735852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.098989157296 + 0.31.\nAnswer: 0.211010842704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -1803*x**2 + 5363*x + 150. Calculate s(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4 + 15dc?\nAnswer: 15d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1073912?\nAnswer: 2, 7, 127, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 3. Let d(s) = s + 1. Let a be d(0). Suppose a = i - 4. Let j(u) = u**2 + 7. What is i*f(v) - 2*j(v)?\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w + 5*k = -1, 5*w - 2*k = -0*w - 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -3*u**2 + u. Let m(d) = -870*d**2 - 3*d. What is -m(v) - 3*z(v)?\nAnswer: 879*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the second derivative of -14*k**6\/15 + 2*k**5\/5 + 271*k**2\/2 - 2*k - 39. Differentiate f(i) with respect to i.\nAnswer: -112*i**3 + 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*r**3 + 38760*r**2 + 62100*r - 31040 = 0. What is r?\nAnswer: -2, 2\/5, 1552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 91478920 is divided by 7409?\nAnswer: 7406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 134 (base 5) to base 12\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 5987.942m to centimeters.\nAnswer: 598794.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/383 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (23*(-66)\/(-2024))\/((261\/8)\/3)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*z**2 - 306660*z + 3985735.\nAnswer: 5*(z - 61319)*(z - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19690965 is divided by 666?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -122536867 divided by 424003\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(72) - sqrt(72)*-2 - sqrt(12)\/((sqrt(6) - (sqrt(6) - (sqrt(6) + -2*sqrt(6)))) + sqrt(6) - sqrt(6))) + (6*(sqrt(18) + 0) + sqrt(18))**2.\nAnswer: 19*sqrt(2) + 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -10 + 643503?\nAnswer: 643483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Are -115799 and -115774 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 24709916317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (-7 + ((0 - 0) + 8 - 14))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the third derivative of 118*m**4\/3 + 739*m**3\/6 + 1111*m**2. What is the first derivative of u(v) wrt v?\nAnswer: 944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(1100) + sqrt(11) + (sqrt(33)\/sqrt(3)*-6)**2.\nAnswer: 11*sqrt(11) + 395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**(2\/9))**(18\/7)\/(a**(-21\/2)*(a*a*a**(-1))\/a) assuming a is positive.\nAnswer: a**(191\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 0*q**2 + q**3 + 11 - 6 + 3*q - 11*q - 3*q**2. Does 15 divide r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -14596*z**5 + 483*z - 8?\nAnswer: -291920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -3007062 times -0.1?\nAnswer: 300706.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 73 = -4*x - 5*p + 188, -4*x + 2*p - 8 = 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 3*z**3 + 1 - 3*z**3 + 4*z**3 - 2*z**3 + (0*z + 0*z - 2*z**2)*(1 + 2*z - 1) + (-2*z + z + 4*z)*(-2 - 3*z**2 + 2) + z**3 - 2*z**3 - 2*z**3.\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4169272 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -164665 > 24\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -91.3, 0.2, 2.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5379 (b) -177\/4 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-10)\/3*(-18)\/5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -232.384 + 232.3947731. What is r rounded to 5 dps?\nAnswer: 0.01077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7309\/2 - -3654. Which is smaller: 5\/28 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 + -1 - 4) + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**3\/5 + 83*h**2\/5 + 1034*h\/5.\nAnswer: -h*(h - 94)*(h + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/25 of a millimeter in micrometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 44\/5 of a milligram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the first derivative of -113*q**4\/4 - 5*q**2\/2 - 6*q + 3. What is the remainder when u(-1) is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 118\/11*v**2 - 60\/11 + 98\/11*v**3 + 6\/11*v**4 - 34\/11*v = 0. What is v?\nAnswer: -15, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -18\/54331127 or -1?\nAnswer: -18\/54331127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 5288 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) -4 (c) 76 (d) -117 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 14503, 14511, 14531, 14569, 14631, 14723?\n\"Answer: z**3 + z + 14501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -q + q - 8*q - 2*q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0, -4, -1, 0.1, 1\/2844?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 + 0.6. Let j = 3103\/6 - 514. Let g = 5\/3 - j. What is the third smallest value in u, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v - 4*c = -280, 0 = -49*v + 1289*c - 1286*c - 434 + 37 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -5, 5, 1, -76, -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-48 + 8 - 12)*(13*a - a + 2 + 0).\nAnswer: -624*a - 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -107*m + 110*m. Let d(y) = 7*y + 1. Let b be d(1). Let r = 1 + -1. Solve m = -r*i - 2*i + b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f - f + 4 = 0. Suppose -3*i - 9 = -2*c, 2*i = 7*i - f*c + 17. Is i at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - 12 = -3*g - 8*s, -5*s = 4*g - 16. Suppose 5*x - 1 = g*i + 11, 2*x - 16 = -4*i. Solve -n - i*b + 0*b = 0, 5*n + 6 = -4*b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 12*f**2. Let g(r) = 4*r + 0*r - 6*r + r. What is g(x(h))?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 558 - 612. Which is bigger: p or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 276660093 to the power of 1\/2, to the nearest integer?\nAnswer: 16633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*(-35)\/1176*2562\/(-3660).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -26*u**2 - 6*u + 6. Let r(q) = -25*q**2 - 5*q + 5. Let n(o) = -5*l(o) + 6*r(o). Let t(c) = -56*c + 4*c + 54*c. What is n(t(k))?\nAnswer: -80*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 560, 2, -2 in descending order.\nAnswer: 560, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -927 + 915 + -10 + 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11166.\nAnswer: 2, 3, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*r - 3*i + 0 + 17 = 4*r - 44, 12 = 4*r - 14*r - 4*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 33737 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -229225 - 229228 - 4*j + 2*j**2 - 229243 - 33*j + 687696.\nAnswer: 2*j**2 - 37*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 720 + -656. Calculate the greatest common factor of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that 2*m**5 - 608*m**4 + 67002*m**3 - 3125628*m**2 + 46443672*m + 319120560 = 0.\nAnswer: -5, 66, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1272 = 5*x - 228. Is 60 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 10) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2675*g**2 + 2685*g + 10.\nAnswer: 5*(g + 1)*(535*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:04 AM and 4:41 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes before 2:35 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be -3 + 110\/(-15)*3\/2. Find the common denominator of -95\/4 and (-49)\/(-42)*((-12)\/g + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 8 + -2. Is 0 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -31587 (base 9) to base 14.\nAnswer: -7888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 5*a**3 + 74*a**2 - 13*a + 33. Let f be r(-15). Let n(c) be the third derivative of -c**5\/30 + c**4\/6 - c**3\/2 - c**2. Give n(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**2 + 5*h - 6. Let z = -48 - -48. Suppose z = -0*d + d - 4. Calculate o(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 204060 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -4*s**2 + 3*s + 4. Let t(i) = i**2 + 2*i - 1. Let o(m) = 8*m**2 + 2*m - 7. Let y(q) = -o(q) + 3*t(q). Determine -6*w(j) + 5*y(j).\nAnswer: -j**2 + 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1192261*m**3 + 11*m**2 - 97417*m**3 - 11*m**2.\nAnswer: -1289678*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*j + 26*j - 18 = 0. Factor -81*g - 29 - 207*g**2 - 22 - 63*g**4 + 45 - 195*g**j.\nAnswer: -3*(g + 1)**3*(21*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -28662, -57325, -85988, -114651?\n\"Answer: -28663*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -g**5 + 561836*g**4 + 2*g**3 + 39270*g**2 + 1674*g.\nAnswer: -60*g**2 + 13484064*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 778*t - 30405 + 30405.\nAnswer: 778*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 184706794 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -53 (base 14) to base 5\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 94770 by 234.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*j - 159 = -57 + 96 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.03 (b) -2 (c) 4 (d) 1\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3\/2*u**3 + 0*u + 7\/4*u**2 + 0 - 1\/4*u**4 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -4*z + 28. Let o(b) be the third derivative of -b**3\/3 + 76*b**2. Let t(c) = 16*o(c) + y(c). Calculate t(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = -4*l + 41, -77 + 24 = -4*l + a. Solve -l*z + 10 = -9*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 895982, 1791968, 2687960, 3583958, 4479962?\n\"Answer: 3*t**2 + 895977*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:26 PM and 1:37 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 9? (a) 3\/2884 (b) -0.3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -14.796031 rounded to one decimal place?\nAnswer: -14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be 36\/16 + 1 - 4\/16. Suppose i*g - 89 = 16. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*f + 24 = -4*f. What is the greatest common factor of f and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0, 0.1, -1, 2\/93?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jwggjjjzzw. Give prob of picking 2 g and 1 z.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -21755, -87036, -195845, -348188, -544071, -783500?\nAnswer: -1066481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 419382 is divided by 300?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 193890 = 2846*g - 70435 + 35322 - 103979 for g.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 2 * 2.2\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 126284857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2.7 and 11.\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) 2 (c) 0.04 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -12 - -12. Suppose 6*n - 4*n = c. Solve -5*j + n - 5 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -16\/926289 and -83\/6484023.\nAnswer: 6484023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**3\/z)\/z**8)\/(z**(1\/3))**(-17) assuming z is positive.\nAnswer: z**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3 - -796369?\nAnswer: 796371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = f - 2*f + 5*g, -5*g = 4*f - 28. Suppose n - k = 1, -k - 6 = 2*n + k. Sort n, f, -2 in descending order.\nAnswer: f, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(17) + 1 + sqrt(34)\/sqrt(2).\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -10010001011011 (base 2) in base 4?\nAnswer: -2101123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 6197580 a multiple of 2070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 0 - 32 = 4*a, 0 = 2*r - 2*a + 20. Calculate the least common multiple of 12 and 7 - -42*(-6)\/r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = g**2 + 9*g + 10. Let o = -12 + 3. Let d be c(o). Suppose -4*q + 1 = -v + 13, -v + 3*q + d = 0. Solve 0 = v*h - 2*h - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*u = 159 - 170 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 26*o + 21. Let j be c(8). Suppose 0 = 3*l + l + 528. Let d = j + l. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 50 - 35. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 5 - 8.8.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 52\/19166841 and 14\/27685437.\nAnswer: 249168933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10 - 6. Let y(f) = 0*f**2 + r*f**2 + 3*f - 3*f**2 - 1. Let k = -2415 + 2412. What is y(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 78 or -1936?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 - 6. Let b(s) = s**3 + 7*s**2 + 5*s - 6. Let z be b(g). Factor 2\/5*w + z + 2\/5*w**2.\nAnswer: 2*w*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = y**3 + y**2 - y + 1. Let o(d) = -5*d**3 - 14*d**2 - 16*d. Let v(q) = o(q) + 4*w(q). Is v(-9) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -279*y - 292*y - 1291 = -25*y - 17671 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -103, -204, -305, -406?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 + 247*x**4 + 2279*x + 2273*x - 4554*x + 2*x**3 to t + h*x**4 + u*x + z*x**3 + v*x**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = 51 - 79. Let x = h - -46. What is the greatest common divisor of x and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 177209061.\nAnswer: 3, 59069687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y - 18 + 28 = -n, 10*n = 3*y - 149 + 49 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4, -11, -8, 11, 52?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 81\/4 of a gram?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 2 - 22 = 0. Let z = o + -8. What are the prime factors of (-4)\/z + 50\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0, 0.3, 178, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*z + 3 = 10*z. Let r(s) = 15*s**3 - 24*s**2 - 33*s + 9. Let f(j) = -16*j**3 + 23*j**2 + 34*j - 9. Let i(g) = z*f(g) - 4*r(g). Factor i(d).\nAnswer: -3*(d - 3)*(d + 1)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: c4 (base 14) to base 7\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -110*s = 46 + 1514 - 20 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -3, 0.2, 4\/7, 6.2092 in descending order.\nAnswer: 6.2092, 1, 4\/7, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dwu when three letters picked without replacement from {w: 3, l: 3, v: 2, u: 7, d: 5}.\nAnswer: 7\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x\/x**4*x*x*x**6)\/(x**(-2\/17)\/x*x**(-1\/8)))\/(x*x**6\/x*x\/(x*x\/((x**3\/x)\/x))*x*x**(-6\/7)*x**(-2\/7)\/x*x) assuming x is positive.\nAnswer: x**(1319\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 43890787.\nAnswer: 17, 41, 62971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 544373, 544643, 544909, 545171, 545429, 545683, 545933?\n\"Answer: -2*c**2 + 276*c + 544099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2\/(-4))\/(5\/10) - 34. Calculate the smallest common multiple of (14\/c)\/((-1)\/15) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 20166 + 931. Does 42 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 77, 152, 227, 302?\n\"Answer: 75*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 54 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 128556 rounded to the nearest 1000?\nAnswer: 129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:36 PM and 8:01 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 53044062?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 6412.02 millilitres?\nAnswer: 6.41202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -671 (base 14) to base 9\nAnswer: -1666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*j + 4 + 2*j**4 - 1225*j**3 - j**4 + 1225*j**3 to z + v*j**3 + f*j**4 + n*j**2 + q*j and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 32 + -10. Suppose 5*z + 4*b - 16 = z, -3*z + 2*b + l = 0. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 11104 + -3?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.23 - 61.23. Let p = x - -63. Is p bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -121 = 3*l - m, 3*m - 209 = 5*l + 5*m. Let r be (-28 + 1)*15\/(-9). Let z = r + l. Solve z*a - 6 = 2*a - 3*h, -4*h + 4 = 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1941 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 - 9) + -2 + (-14 - -19).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 44507548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -8*d**2 + 7*d - 26. Let j(y) = 3*y**2 - y - 1. Let r(q) = f(q) + 3*j(q). Let p be r(-9). Solve p*v = 20*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 19*j - 4. Let d(o) = -9*o + 2. Let s = 32 + -45. Let g(m) = s*d(m) - 6*q(m). Let y(r) = -r**2 - 3*r + 2. Let c be y(-3). Determine g(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -0.4, 1856, 0.\nAnswer: -0.4, -0.3, 0, 1856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 0.1 * -159060\nAnswer: -15906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*g**5\/5 - 2737752*g**4\/5 + 547551*g**3.\nAnswer: -3*g**3*(g - 1)*(g + 912585)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**3 - 7*m**2 - 5*m - 100. Let k be p(-8). Is (-1059 + 5 + -5 + k)*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find n such that -3*n**4\/5 + 1176*n**3\/5 + 7128*n**2\/5 + 14304*n\/5 + 9552\/5 = 0.\nAnswer: -2, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -1 bigger than -2\/37234449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 130 a factor of 4680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6464 = -2*o - 2*o + 6492. Solve -12*h - 5 = o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.1 + -4.9. Let u = 23 + -67\/3. Let q = 327\/4 - 81. Which is the nearest to u? (a) -1\/6 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9268)\/(-6951))\/((-2)\/51).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-292)\/(-1168)*152\/5)\/((-4)\/60*-3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = -6*y + 3. Let z = 27 - 26. Which is the third smallest value? (a) y (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 388 smaller than 0.095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 34495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-38)\/(-399) + (-130)\/42?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 170 minutes after 11:36 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 11, 31, 59, 95, 139?\n\"Answer: 4*h**2 + 8*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 337\/1476 - 1\/164. Let f = 0.65 + -0.35. Which is the nearest to 1? (a) t (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-704)\/44 - -13 - (0 + 1)*-3. Solve w = -0*k + 8*k - 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 4 = 0, -m - 4*w = w + 11. What is the third derivative of q - m*q**2 + 4*q**3 - 10*q**2 + 51*q**3 + 10*q**2 wrt q?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5.59 - 3.59. Let j(t) = -34*t + 1. Let v be j(1). Which is greater: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**3\/9 + 4*p**2\/3 - 34*p\/3 + 88\/9.\nAnswer: 2*(p - 4)*(p - 1)*(p + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000857770506 to 5 decimal places.\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the third derivative of -3067*g**5\/60 + 1145*g**3\/2 - 1803*g**2. Differentiate y(o) wrt o.\nAnswer: -6134*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -32*o. Let q(g) = g + 67763. Determine q(f(v)).\nAnswer: -32*v + 67763","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2258 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -13*m + 11*m - 25*m + (-1 + 4 - 2)*(1287*m - 233*m + 921*m - 418*m).\nAnswer: 1530*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 11213758 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -15*h**4*l - h**3*l**3 - 275*h**3*l + 1275*h**2*l**3 + h**2*l wrt h?\nAnswer: -360*h*l - 6*l**3 - 1650*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = -1 - 3. List the prime factors of (0 + 2 - r)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 36 + -3. Let s be -2*1 + (d - 3). Let k(p) = 50*p - 48. Let q be k(6). Calculate the greatest common divisor of s and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c - 9 + 3. Suppose 0 = 5*z - 4*y - 104, 5*z - c*y + 5*y = 101. What is the lowest common multiple of z and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 23.05 and -0.4.\nAnswer: 22.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4)\/(-2162)*(-1)\/4. Let y = 37831\/8648 - r. What is the common denominator of 9\/2 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v = 0, -12 = -3*s + 7*s - 4*v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:19 AM and 3:28 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 224415351 and 18.\nAnswer: 448830702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -0.14817064 to three decimal places.\nAnswer: -0.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/70950 and 28\/473.\nAnswer: 70950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 0*p - p - 65 = 0, -m - 2*p + 10 = 0. What is the greatest common divisor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0.3, 3\/7, -2, -0.04 in ascending order.\nAnswer: -2, -0.04, 0.3, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ppp when three letters picked without replacement from jpbyjrrbbvjbbpbbp?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*r = -1438 + 608. What is the highest common factor of 2407 and r?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 62\/(-341) - 200912\/(-44)?\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 5 = 3. Is -0.13 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -3956.292 - 4891961\nAnswer: -4895917.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l**4 - 4601727*l**3 - 1764705932514*l**2 - 37057043735424*l - 95288902060032 = 0.\nAnswer: -766944, -18, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.3, 3, 0.022, -2?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/115 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the third derivative of -l**5\/20 - 7*l**2 + 2*l. Let y(b) = 4*b**2. Determine y(k(a)).\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/((-18)\/(-1296)*-18)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*h + 130 - 130.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 491636 is divided by 32773.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 2*l - l = 11, 0 = -2*l - 10. Suppose d*s = 2*s + 8. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 295*p - p**3 - 295*p + 4*p**2.\nAnswer: -p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 190*s + 166*s + 56*s + 37*s to w*s + d and give w.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vjpkjmu. Give prob of sequence vjjp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5)\/25 - 161\/(-414)) + 1\/9.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 756 - 1511\/2. Which is the nearest to l? (a) 0.5 (b) -0.4 (c) 201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -48864.8 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 17 + 2 = 0. Solve 7 = l*f - 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*j**2*u - j**2 - 394*j*u - 2*j + u - 3036 wrt j.\nAnswer: -4*j*u - 2*j - 394*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -240*z - 13*z**2 + 240*z.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-4687)\/121862 - 6939\/78\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 2*c**2 - 15*c - 46. Let p be g(10). Differentiate -2*a**3 - 3 + 11 + 3916*a**4 - 3910*a**p wrt a.\nAnswer: 24*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 + 7 + 2 - 5 - 13*i.\nAnswer: -13*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7.5 + 8. Let o = -0.756 + 4.756. Which is the nearest to -4? (a) o (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 110 * 4443257.\nAnswer: 488758270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(2736)*-2 + -1 - (sqrt(114)\/sqrt(54) - (sqrt(2299)*-1)**2).\nAnswer: -73*sqrt(19)\/3 + 2298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 89045183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 66129 and 437577?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4525818, 4525824, 4525834, 4525848, 4525866, 4525888?\nAnswer: 4525914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54713 is divided by 547?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply 63.443 and 164.\nAnswer: 10404.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -24, -27, -30, -33, -36?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 15169, 29874, 44615, 59410, 74277?\n\"Answer: 3*c**3 + 14684*c + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q**3 + 17*q**2 - 66*q - 120. Let f be j(-20). Solve f = -37*a + 9 - 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60463 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r**2 + 7*r - 2. Let f be o(6). Let v be 96\/(12\/f) + 1. Let t be (-344)\/(-44) + 6\/v. Solve -n = -5*h - 2, -2*h - 19 = 3*n - t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + h + 300 = 0, 166*k = 163*k + 4*h + 163. Solve 8*f - 21 = -k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (32 - 28) + (-9 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 59.49 - 59. Let s = i - -0.01. What is the third smallest value in 1\/4, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -5213 and -0.19.\nAnswer: 990.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l - 19 = 5*o, l + 9 - 7 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 2*z + 2*r - 55, 0 = -5*z - 4*r + 136. Suppose 0 = -4*o + 2*o + z. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -164 + 1111*x + 39 + 40 - 1118*x + 45 + 40.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 - 8 - -12 - (1 + -2 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -5*v**3 + 6*v**2 - 17*v - 26. What is the thousands digit of r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-1\/11)\/x**(4\/9))**(-47))**1 assuming x is positive.\nAnswer: x**(2491\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 3*l = -19, 2*c + 6 = 4*l - 2*l. Let z be c\/14 - (-23)\/7. Solve 4*x + z = 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -245 + 1224\/5. Let d be -3 + 2 - 8\/(-7). Put d, m, 6 in descending order.\nAnswer: 6, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6.436 - -23.5502. Let k = d + -17.0622108. Let x = 0.052 - k. Round x to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -31, -275, -997, -2455, -4907, -8611, -13825, -20807?\nAnswer: -29815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*l*n**3*y**2 + l*n*y + 13*l*n + 2*l*y**2 + 18*n**5*y**2 wrt n.\nAnswer: 30*l*n*y**2 + 360*n**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -75.3 + 8.3. Let m = 38 + f. Let o = m + 29.0092. Round o to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:22 PM and 11:05 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = 3*k - 69, 71*k = 68*k + 3*h + 69. What is the remainder when k is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 + -5. Let f(p) = p**3 - 4*p**2 - 3*p - 7. Let r be f(5). Let l = -18.638 + 17.638. What is the fourth biggest value in 0.4, r, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -4 + 1 - 5 + 2*g. Let w = 12 + -4. List the prime factors of f(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:50 PM and 5:02 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) be the second derivative of -o**6\/15 - 619*o**5\/5 - 443*o**4\/2 + 7199*o. Find the third derivative of c(q) wrt q.\nAnswer: -48*q - 14856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (54 - 54)\/(1\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 6 - 4b3c807?\nAnswer: -4b3c801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w be (338*3\/(-4))\/(-1)*-2. Let t = w + 699. What is the smallest common multiple of 10 and t?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 155\/168 and -127\/65315952?\nAnswer: 457211664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -47 + 131?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, s: 5, n: 7, r: 1, y: 1}. Give prob of picking 1 n and 1 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16510738?\nAnswer: 2, 739, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h**(2\/15)\/h)*h)**(14\/9) assuming h is positive.\nAnswer: h**(602\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 735 divide 132300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -13\/97 (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a = 2*f - a - 8, -4*a - 86 = -5*f. Suppose 0 = -9*p + f*p. Solve -4*x + 0*x + 12 = p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 713664 and 11718?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 6240009 or 6240010?\nAnswer: 6240010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -74*p**3 - 8*p**2 + 11. Let y(v) = -25*v**3 - 3*v**2 + 4. What is -3*g(q) + 8*y(q)?\nAnswer: 22*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2069 - -2068.99967252. Round n to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y - 3. Let x be h(5). Factor -6*t**3 + 7*t**3 + 7*t**4 + 6*t**x - 9 - 4*t**4 + 12*t - 13*t**3.\nAnswer: 3*(t - 3)*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*i**5 + 3*i**5 - 3*i**5 + (-i**5 + 3*i**4 - 3*i**4)*(5 - 4 + 1) - 3*i**5 + i**5 + 0*i**5 - 2*i**5 + 2*i**5 + i**5 + 3*i**5 + 6*i**5 + 0*i**5.\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -15*h**3 - 2*h**2 - 6*h - 4. Does 6 divide v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (18\/(63\/7)*(-2)\/(-44))\/1.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and -5.89?\nAnswer: -29.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: ((-10)\/5)\/((-2)\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be 9\/(-6)*(-16)\/6. Find the second derivative of -5*l - 4 + 0*l + 4 - g*l**4 wrt l.\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2 (b) -5 (c) 0.13 (d) 7\/6 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 32*b**3 - 6*b**2 + 122*b - 3251. Is s(24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1470000 = -3*g + 6*g. What is g rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 66851?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1 + -2)*12\/12. Let d be -1*n\/(-3 - -2). Let r = d + 24. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5a + 12100?\nAnswer: 1215a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3\/64 - -73\/192. Which is the nearest to y? (a) -1 (b) 42\/13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 128 - 111. Calculate the remainder when 60 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwj when three letters picked without replacement from jwjjwjjjj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 880604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t**2 + 407*t + 29093. Determine o(469).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -42 + 84 + -21 - 50\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of j**3*w**3 - 4*j**3*w + 24*w**3 - 87*w**2 wrt w.\nAnswer: 6*j**3 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l - 3*l = 6. Let c be 27\/18 - l\/4. Let u(w) = -w**2 - 9*w - 5. Let x be u(-8). Solve a + c*a = -x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t + 62 - 63 = 4*b + 34, 5*t - 95 = 14*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 1032*s**2 - 328*s. Let u(a) = -1037*a**2 + 327*a. Let c(h) = -6*t(h) - 5*u(h). Find the second derivative of c(b) wrt b.\nAnswer: -2014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 101*o - 807 + 100 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/63 of a week in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4720935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 l and 1 n when four letters picked without replacement from {n: 11, l: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the second derivative of -k**5\/20 - k**4\/6 + k**3\/2 - 10*k. Suppose z(g) = 0. What is g?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -428829 divided by -1.\nAnswer: 428829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g + 3*n - 8, -2*n - 2*n - 22 = g. Let m = 24 + g. Suppose h = -4*q + 41, 5*q + 5*h + 14 = 84. What is the lowest common multiple of m and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7.04 - -0.04. Let h = 2 + w. Let g = -30.5 - -31.5. Which is the closest to -3? (a) h (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -b**2 - 7*b - 6. Let u(x) = -x**2 - 7*x - 6. Let z(r) = 5*c(r) - 4*u(r). Let g be (-1820)\/420 + -2*1\/(-6). Determine z(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*k + 48 = -9*k. Suppose 3*r = 2*r + 35. What is the remainder when r is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((4*(sqrt(99) - sqrt(99)*-4))\/(-6*sqrt(54)\/sqrt(6)))**2.\nAnswer: 1064\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1916.0999998792 + -1916.1. What is c rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25 < 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 90 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1705261 = -10*a + 2642318 - 1397849. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 12 - -4881cf?\nAnswer: 4881e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-466)\/(-8) + (-1)\/4. Let s = 109 - a. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11605276 is divided by 635?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2613688\/(-950432)*(2\/(-7) + 391\/(-77)).\nAnswer: 59\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/27? (a) 4\/5 (b) -3 (c) 5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 3, c: 1, e: 1}. Give prob of picking 1 o and 1 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = 131 + -225. Let d = w - -876. Is d a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 157 + -237. Let c = j - -80.6. Sort 5, 3\/4, c, -0.3.\nAnswer: -0.3, c, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4\/811 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -190 (b) 6 (c) -2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7923*k + 5098028 = -7850*k. What is the ten thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-35)\/(-90)*2)\/((-1379)\/(-29550))*12\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8 + 9. Suppose -4*l = -f - 7. Solve l*j + 10 = 2*q, 4*j - j = -6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(-1\/5)\/j**(-1\/4)*j**(-6)*j*j**13 assuming j is positive.\nAnswer: j**(161\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 27, 14, 50 in descending order.\nAnswer: 50, 27, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 125877?\nAnswer: 3, 41959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -40 + 9 + (-20 - -26 - 8).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 27\/7 (b) 4\/7 (c) -0.1 (d) 0.3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the first derivative of 1\/2*t**2 - t + 1\/3*t**3 - 1\/4*t**4 - 18. Let g(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 5, -55, -26 in decreasing order.\nAnswer: 5, 3, -26, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 429 minutes after 6:58 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffiilfvfvmiimfvfzf. What is prob of picking 2 v?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.005535 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 130 + -80. Suppose 3*g = -7*g + i. Suppose 0 = g*q - 7 - 3. Solve 3*h - r = -7, 0 = -q*h + 3*r + 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (c - 4*c + 6*c)*(-2*c - 2*c + 2*c)*(5 - 5 + 4) as z + k*c**2 + n*c and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y**3 - 10*y**2 + 3*y - 14. Let i(r) = -r - 7. Let f be i(3). What is g(f)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**6)**(-13)\/(x\/((x\/(x*x**(-8\/5)\/x))\/x*x)*x**(-9)))**40 assuming x is positive.\nAnswer: x**(-2696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 2*o. Suppose -2*j - 3*d + 25 = -2, 4*d + 15 = 3*j. Suppose 2*i = -i + j. Let s(g) = -i*g + g + 5*g. What is s(r(x))?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9240)\/(-462))\/(((384\/(-40))\/(-16))\/(9\/80)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 520 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -22*r. Let x(w) = -6*w - 966. Give i(x(j)).\nAnswer: 132*j + 21252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c = -3*o - 10, 3*c + 907*o - 906*o = 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(432)*-2 - (sqrt(27)*-1)\/sqrt(9)) + ((sqrt(72)*2 - sqrt(72))*-5)\/sqrt(6) + 4)**2.\nAnswer: -264*sqrt(3) + 3283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*a**3 + 424*a**2 - 217*a**2 + 2876 - 207*a**2.\nAnswer: 3*a**3 + 2876","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000354988 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3070 - 24. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 400\/13, -7, 6.3, -1, 0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 13 = 5*i + 2*l, -4*i + 3*l + 15 = 0. Is i - 264\/(-3 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -70 + 41. Let x = v - -28.99999982. Round x to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.039898*14\nAnswer: -0.558572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -225523 (base 6) to base 15.\nAnswer: -5b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + -10 - (-11 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 12*x**2 + 3*x - 2. Let q be g(-2). Let o = 40 - q. Let p be 1 - (-3*(-3)\/(-9) - o). Calculate the greatest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4800 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8655 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 1, g: 2, n: 1}. What is prob of sequence gqg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Are 9510.253 and 0.01 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -37, -2, 2, 4, 177531 in ascending order.\nAnswer: -37, -2, 2, 4, 5, 177531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11 + -10. Let l be k\/(-5) + 224\/70. Solve -5*z + 2*z = -l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m = -3*j + 59, j - 21 = -40 + 32 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/10)\/(((-18)\/3)\/30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10 - 7. Suppose -2*d = x*d - 20. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a + 16. Calculate z(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x**3 + 10*x**2 + 14*x + 10. Calculate j(11).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0.3 times -33337519\nAnswer: -10001255.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t + 4*k = 0, 23249*k = -2*t + 23246*k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5)*-3 + -2)**2 + -3 - (5 + sqrt(5)*-4 + -2).\nAnswer: 16*sqrt(5) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -2*b - 3086, 2*b - 1356 = -3*x + 3258. Does 28 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 57*p**2 - 13*p - 14. What are the prime factors of o(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00003445368 rounded to seven decimal places?\nAnswer: 0.0000345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.5 and 793.\nAnswer: -396.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3121215 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -6075146 rounded to the nearest 100000?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 5*t - 22 = 0, 0*y - t = -y + 4. Let q be y*(3 + 0) + 10. Suppose -6*n - 9 = -q*n. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w**2 + 8*w + 3. Let c be k(-6). Let a = -1844 - -20179\/11. Is a less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 14600 and 46450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 8*d + 4*d = 31, 3*d + 3 = 0. Let h = r + -22. Solve -f = -5*u + 3*f - 15, -h*f + 30 = 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 + 3)*(-70)\/210?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 4 + 3*b**2 - 3*b**3 + 2*b**2 - b**2 to the form q*b**2 + y*b**3 + o + x*b and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y - 3*y - 1. Let z(u) = -4*u - y - 4 - 3 - 2 - u**3 - 3*u**2. List the prime factors of z(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, m: 1, j: 1}. Give prob of picking 1 m, 1 j, and 1 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00723884622 rounded to four dps?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 556 minutes after 12:24 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -m**3 + 37*m**2 - 72*m - 38. Calculate i(35).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (72\/(-12))\/((-18)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6239969975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 125, 110, 85, 50, 5, -50, -115?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*y - 5*y - y - 73 + 7*y + 14*y.\nAnswer: 18*y - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 20032 and 128.\nAnswer: 40064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k + 5*n - 4, -2*k = -6*k - 5*n + 7. Suppose 4*x = 3*x + k. Suppose -p + 3 = -4*p - x*b, 3*p = b - 3. Sort -3, p, -4 in descending order.\nAnswer: p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1 + 533025445?\nAnswer: 533025444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -3*(-42634)\/42 - (-160)\/(-560).\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/35 - 376\/940.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (0 - 14\/21)\/((-1)\/(-54)). Let o be 1*1\/4*(s + 36). Suppose -3*a + 2347 = -4*r - 1231, 4*r + 8 = o. What is a rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2205199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1209)\/585 + (-8)\/(-3). Let w = -15.3 + 15.5. What is the closest to -2 in w, 5, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*d**3 + 15*d**3 - 34*d**3 + 5*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4\/3, 0.021, 5, 0?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0 - -3. Suppose n*s - 11 + 2 = 0. Differentiate -k - 4 - 2*k**4 + s + k with respect to k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1*((-1)\/5 - 1404\/(-45)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 28 (base 16) to base 3\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -204 + 2650\/13. Let a = -0.05 + -3.95. Let g = 3.8 + a. Sort g, 2, k.\nAnswer: g, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pp when two letters picked without replacement from {n: 7, p: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 48.66723 hours?\nAnswer: 2920.0338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -3*o**2 + 63*o - 63*o. Let s(z) = 10*z. Calculate s(l(j)).\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r*(r\/(r\/(r*r**(-1)\/r)*r)*r)\/r))**(9\/10)\/(r\/r**(-8)*r**(-3)))\/((r**(1\/3)*(r**(1\/6)*r)\/r)\/(r**(-1\/2)*r**(-1\/14))) assuming r is positive.\nAnswer: r**(-369\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = 9 + -26\/3. Let y = 1352 + -20278\/15. What is the nearest to 0.2 in m, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6711146 to the nearest integer?\nAnswer: 2591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n**4 + 5208*n**3 - 82509*n**2 - 87720*n = 0 for n.\nAnswer: -1, 0, 17, 1720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 863207.8kg in milligrams?\nAnswer: 863207800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 404, 810, 1230, 1670, 2136, 2634?\n\"Answer: m**3 + m**2 + 396*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -5, -159, 0, -3.\nAnswer: -159, -5, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 27227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2010 + -1069. Let j = y - 420. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -356, -937, -1458, -1919, -2320?\nAnswer: -2661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1 + 0 - (-31 + 0). Suppose 3*x - 5*x = -h. Let l be (x\/10)\/(2\/(-4)). Let u(n) = -n**3 - 3*n**2 - 2*n - 4. What is u(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**2 - 10390*c.\nAnswer: 2*c*(c - 5195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -15*q - 3. Let w be g(-5). Let m be 8\/(-28) - w\/(-7). Suppose 9*o - m = 4*o. Solve 2 + 2 = -o*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -231 - 4\/6*(-21)\/14. Let g be (a\/69)\/(2\/(-12)). Calculate the greatest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + (5 - 1) - (12 + -14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -10*w + 2. Let l(g) = g**3 - g**2 + g + 1. What is -f(m) - 2*l(m)?\nAnswer: -2*m**3 + 2*m**2 + 8*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -48 + 48. Let m = -7 + 15. Suppose m*y - 3*y - 120 = z. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 8 = 2*w, w = -i + 6*i - 17. Suppose i*m = -15, 3*q = -0*m + 5*m - 59. List the prime factors of q\/70 - (-1227)\/5.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n**3 + 16*n**2 + 58*n + 20. Calculate c(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 252 minutes after 10:24 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 + -b1?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 62 divide 1552691989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.9553, -8, 8, 0.1, -3?\nAnswer: -0.9553","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4441?\nAnswer: 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -22416, -22415, -22414, -22413, -22412?\n\"Answer: i - 22417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1207 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 32 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -491*s**3 - s + 455 wrt s.\nAnswer: -2946*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 17\/((-2261)\/(-38))*5*(-14)\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 40 - 282\/7. What is the nearest to -1 in -1, x, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nnnnnndn. What is prob of picking 3 n?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.7 - 1.5. Let u = -0.07 - -0.37. Let m = h - u. Sort -0.2, 3, m in decreasing order.\nAnswer: 3, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.58 times -0.11?\nAnswer: -0.0638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 47\/351967268 and -115\/14.\nAnswer: 2463770876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f + 3*f. Suppose k = -f*k + 70. Suppose a = -4*a + k. Calculate the highest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 59804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - (-3 - -1)) + (-1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((-48)\/10)\/(1866\/(-3110))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 + 8. Suppose 5*x - 16 = -3*l + m, 15 = l + 3*x. Solve -5*u + 30 = -5*t, 2*t + 0*t + 2 = l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1+70\nAnswer: 70.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -9, 16, -5474 in increasing order.\nAnswer: -5474, -9, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, 3030, -3, -4, 7.5 in ascending order.\nAnswer: -4, -3, -0.3, 7.5, 3030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = 119 + -117. Find the third derivative of -10*l**t - l**5 + 46*l**2 - 6*l**5 - l**5 wrt l.\nAnswer: -480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - r - 6 = 0, 5*p + 5*r + 235 = 0. Let h be p\/(-6) - (-4)\/6. Suppose -5*c = -26 - h. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((1*sqrt(2299) + -3 - ((sqrt(2299) + -1 + sqrt(2299) - sqrt(2299))*5 - sqrt(2299))) + 4)**2 + 3)*3.\nAnswer: -1188*sqrt(19) + 62190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2812, 2122, 1428, 730, 28, -678?\nAnswer: -1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Are 45 and 1\/2980 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 59, 27, -5, 0, -4 in descending order.\nAnswer: 59, 27, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = 43 - 37. Let b(s) = -s**2 - s + 14. Suppose -17 + 5 = 3*z. Let w be b(z). Solve w = 2*h + d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*2\/(-4) - (-2)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -117*f - 1. Calculate i(1).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 23020444*v**3 - 173*v**2 + 60318*v?\nAnswer: 138122664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -668111, -668614, -669117?\n\"Answer: -503*h - 667608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (16\/(864\/3375))\/(((-14)\/4)\/7)\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1.8 times -0.32?\nAnswer: -0.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sum -14 and -765532634.44.\nAnswer: -765532648.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 620632 and 368.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 9 + 3.966.\nAnswer: 12.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**2 + 3*t + 4. Let i be z(4). Suppose i*a = a. Solve a*m - 5*y = -2*m + 33, -y = -3*m + 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1455712191 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -245*n**2 - 249*n**2 + 8 + 11*n + 493*n**2 + (-4 + 4 - 2 + (-1 + 5 - 2)*(-3 + 3 - 2) - 1 + 3 - 1)*(-5*n**2 + 3*n**2 + 0*n**2).\nAnswer: 9*n**2 + 11*n + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 672 is divided by 211?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -52 - -6*(-1775)\/(-150)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1 - -1)\/((-66)\/(-6) - 12). What is the biggest value in -1, -0.4, u, -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d = 5*d - 2. Let k be (5 + d)*(0 - 1). Is k\/39 + 5505\/39 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 0, 67.\nAnswer: -1, 0, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 1 - f**2 + (-5*f + 2*f + f)*(-20 + 20 - 2*f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -2\/969 (b) -5 (c) 4 (d) 0.5 (e) -9.73 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 316, -1, 1, -19, -15 in ascending order.\nAnswer: -19, -15, -1, 1, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1617*y**3 - 974*y**3 + 583*y**3.\nAnswer: -2008*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/15, 83, 0.4, 0.2 in decreasing order.\nAnswer: 83, 0.4, 0.2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u - 107 = -3*o - 109, 5*u - 5*o = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -y**2. Let h be -1*0*1\/4. Let f(s) = -23*s + h + 7 - 7. Give f(x(d)).\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/(-5) - 30\/100. Let j(t) be the first derivative of -1 - f*t**2 + 0*t + 1\/5*t**4 + 1\/5*t**3. Let j(b) = 0. What is b?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/(-2400)*-8)\/((-1)\/5)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25185 = -3*f - 2*v, -2*f + 309*v + 16801 = 314*v. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t - 14*l + 11*l - 12 = 0, 0 = 4*t - 5*l - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 269 - 456. Let o = v - -168.8. Round o to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the first derivative of 2*p**2 + 35*p - 16. Let v be l(-8). Suppose -5*x + 120 = v*u, -3*u + 0*u = 0. What is the highest common factor of 32 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1584 + 792. Let w = 1119 + q. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14685678 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mgmmxxmmxqmxq. Give prob of sequence xxm.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r**(-2\/5)*r)**(4\/15)\/(r**(2\/3)*r)**(-24))**(-1\/5))**(-22) assuming r is positive.\nAnswer: r**(22088\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/40)\/((-7)\/(-35)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 38098 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 27899381 a multiple of 760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**3 - 2*v**2 - 3*v + 3. Suppose -y = 4*y + 25. Let s be (0\/(-2 - y))\/(-2). Suppose -g + 3*x + 18 = s, 0*x = -3*g + x + 14. Give r(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5 + 6.5. Let y = t + -3. Let i = -1 - y. Which is the nearest to 0? (a) i (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 108 = 4*j - j. Let g = 19662 + -19602. Calculate the greatest common factor of g and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -31888.661 to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -23283 + 22460.61. Let j = u + 829. What is j rounded to one dp?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -53*m + 9. Let q be w(-8). Suppose -4*n - 332 = -4*k, -n = -6*n - 4*k - q. Let z = -17 - n. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-8)\/(b\/b**10))\/(b\/b**(-2))**(-9))**(-10) assuming b is positive.\nAnswer: b**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2 + -7)*(-9)\/3. Suppose -2*q - k = -5*q. Factor -47*r - 16*r + 32*r**2 - r + 4*r**q - 7*r**3 + 71*r**3 + 28*r**4 - 64.\nAnswer: 4*(r - 1)*(r + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/33 and 68\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find i such that 5*i**4\/3 - 1810415*i**3\/3 - 30778420*i**2\/3 - 9656000*i = 0.\nAnswer: -16, -1, 0, 362100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -8, -3, 1, -3\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 336 divided by -14.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.4 (b) 5 (c) 0.0134 (d) 4088 (e) -1 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*t**2 - 3*t**2 + 0*t**2 - 740 + 740 - 25*t**2 + (1 + 1 + 2)*(0*t**2 + 2*t**2 - 3*t**2) + 48 - 48 + 39*t**2 to the form i*t + j + c*t**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -2*v**3 - v**2 - 3*v - 6. Determine f(-4).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25556.\nAnswer: 2, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**3 - 15*u**2 + 2330*u + 32874. Determine w(-14).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -n**3 - n**2 - 1. Let v be h(-2). Suppose 0 = -v*z - 4 + 31. Suppose -z*b + 4*b = -15. Calculate the remainder when b is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 37832561, 75665121, 113497681, 151330241, 189162801?\n\"Answer: 37832560*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 24, -0.1 in descending order.\nAnswer: 24, 5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 9.1 - 10. Let x = 4 - 3. Let z = x + o. Which is the closest to z? (a) 3 (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-3)\/(-1) - ((-21)\/(-294) + 1420321\/(-98))?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**2 + 6*y + 6. Let k be b(9). Suppose 2*v - 282 = 5*w, 0*w + k = v + 2*w. Let q = v - 101. What is the greatest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 94 a factor of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(1377) - (2 + sqrt(68)).\nAnswer: -11*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1737 bigger than 5292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*f + 0*f + 2*f**2)*(3 - 2 - 3 - 3 + 4 - 3 + 2 - 4 + 1 + (2 - 2 - 1)*(0 - 1 + 3))*(47*f + 64*f - f).\nAnswer: -1540*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18947?\nAnswer: 18947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xa when two letters picked without replacement from xxxxxxxxxxxxxxxxxxa?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(605)\/(sqrt(121)\/(sqrt(44)\/sqrt(4)))*5)\/((sqrt(11) - sqrt(22)\/sqrt(32)) + (sqrt(11) - (sqrt(1331)*1 + sqrt(1331) - sqrt(1331)))).\nAnswer: -20*sqrt(5)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 29734 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = 13 - 8. Let u be 42\/8 - 1\/4. Let y(o) = 2*o - u + 0*o - o. Give y(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15087 - 14031. Is 48 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (12*n**2 + 49*n**2 - 144*n**3 - 61*n**2)*(2*n + 3*n - 3*n).\nAnswer: -288*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*k - 10*k + 3*k + 9.\nAnswer: 3*k + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -20, -5, 9, -13, -3 in increasing order.\nAnswer: -20, -13, -5, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2012.514 - -20.714. Round q to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 38 - 2*18\/12. Let w be 1156\/28 - (-2)\/m*-5. Suppose -4*o + 16 = -0*o. Solve -11 = 4*l - j, 4*l + w = -o*j - j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(450) + 2*sqrt(450)*1 - 2*2*sqrt(450))\/(-4*-2*-2*sqrt(10)).\nAnswer: -3*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.54 + 2.46. What is the biggest value in -4, n, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/33? (a) 1.4 (b) 1\/7 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 8614829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 59\/12 + -17\/3. Let r = 8 - 16. Let s = 12 + r. What is the third smallest value in s, q, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3593, 3594, 3595, 3596, 3597?\nAnswer: 3598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1040.642 litres in millilitres?\nAnswer: 1040642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -5*j**2 - 90*j + 315 = 0.\nAnswer: -21, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**6\/((f\/(f*f*f**(2\/3)))\/f)*((f\/(f**(1\/2)*f))\/f)**35 assuming f is positive.\nAnswer: f**(-263\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that 5*g**2 - 31123590*g + 48433892724405 = 0.\nAnswer: 3112359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/9 + 272\/168?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -78, 11, 4, -643 in decreasing order.\nAnswer: 11, 4, -2, -78, -643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(-1))**(-27))**(2\/187) assuming c is positive.\nAnswer: c**(54\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3)\/(-21) + 22\/(-7). Is 25 a factor of (-1 + 51)*(l + 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -i - 1. What is m(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*i + 2*i - 3*i + (-2*i + i + 2*i)*(-2 + 0 + 1) + 45*i + 19*i + 5*i.\nAnswer: 65*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i - 14. Let a(j) = -2*j - 13. Let m(l) = 2*a(l) - 3*y(l). What is the smallest common multiple of m(6) and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/7, -610, -0.1, -15, 1 in decreasing order.\nAnswer: 1, 4\/7, -0.1, -15, -610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*d + 83 = 185. Solve -w - 8 = -d*w + 4*c, 3*w - 5*c + 3 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -344 divided by -86\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 1199 divide 20961525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 52 and 6656?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 383 is divided by 344.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(4*(sqrt(1215)*1 - sqrt(1215)) + sqrt(1215) - sqrt(1215)))\/((sqrt(6480)*-2 + sqrt(6480) - sqrt(45))\/((sqrt(900)*2 - sqrt(9)) + sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 26 (base 8) to base 16\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 42964 or 42960?\nAnswer: 42964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 2518913483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 3*n**2 - 2*n + 3. Suppose -3*j = -3*a - 39, 0 = j + 3*a + 4 - 1. Calculate the smallest common multiple of z(2) and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 24 - 21. Let i(q) = 11*q + 1. Let k be i(1). What is the lowest common multiple of j and k + -2 + (-2 - -3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.01 + -657.\nAnswer: -657.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 106628 is divided by 1124?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -40*z - 274 - 126 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 + 22. Solve 3*f = 3*k + c, -2*k + 4 - 13 = -f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -83*q - 8*q**2 - 2*q**2 + 27*q + 18*q + 16*q.\nAnswer: -10*q**2 - 22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 47\/182 and -73\/98?\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*k + k + 3*k)*(-4*k + k + 4*k)*(-15*k + 12*k - 2 + 7).\nAnswer: 3*k**3 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -957870384, -1915740770, -2873611158, -3831481548, -4789351940, -5747222334, -6705092730?\nAnswer: -7662963128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in u - 6 + 73 + 4 - 27 + 22 - 3.\nAnswer: u + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -76.9 - -12.8. Let m = z + 70. Let i = m - 5.8. What is the fourth smallest value in 0.3, i, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 14 (b) 0.4 (c) -1.9 (d) 1\/274\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 169*a**3*u**3 - 2*a**3 - 79*u**4 + 16117 wrt u?\nAnswer: 507*a**3*u**2 - 316*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (-8*o**2 + 4*o - 4*o)*(-10*o**2 - 15*o**2 - 44*o**2) in the form r*o**2 + p*o**4 + a + s*o + m*o**3 and give p.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*j - 9*j - 10. Suppose -f = 5*p - 20, 3*f + 30 = 5*p - j*p. Suppose -p*v = -21 - 9. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = v + 2. Let o be m(4). Let t(f) = -f**2 + 6*f + 1. Give t(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 104*i**2 - 126*i**2 + 32*i**2. Suppose 5*h - 392 = -122. Let l(n) = 54 + 2*n - h. Calculate l(a(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 129*s + 36 = 138*s. List the prime factors of 363 + ((-48)\/(-6) - s) - 0.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 644, -20184, 2\/5, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 16\/357525 and 29\/24.\nAnswer: 2860200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -217*h - 14. Let v(c) = 151*c + 16. Give 5*f(g) + 6*v(g).\nAnswer: -179*g + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 + 3402433?\nAnswer: 3402431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 166.7 - 167. Let g = 1.9 - 1.94. Which is greater: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -12*-17*(-31)\/(-18972)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/(-2 + 2 - -3). Let p = 4\/79 - -130\/553. What is the second biggest value in p, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes before 12:26 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Total of -18661024.8 and -13246.\nAnswer: -18674270.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6481, -4953, -679, 7715, 21603, 42359?\nAnswer: 71357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -8 - 1126039.58553?\nAnswer: -1126047.58553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/(-48)*70*(-106)\/(-150255).\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9 + -3. Let t = 9 - l. Solve 0 = -t*d - 2*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -124 (base 5) to base 7\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = n**2 + 9*n - 11. Let h be d(-10). Let m = h - -5\/6. Let t = -353 + 4591\/13. What is the second smallest value in t, 2, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 4\/1011?\nAnswer: 4\/1011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 30009 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -125, -120, -117, -116, -117, -120, -125?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -193414.11 + -0.59\nAnswer: -193414.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 161868956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 30895 + -30879. Let f(i) = -i. Let k be f(-5). Which is the nearest to 0? (a) -0.4 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in fifteen quarters of a minute?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -51*g**2 - 31*g**3 - 31*g**3 + 61*g**3.\nAnswer: -g**3 - 51*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -163*h - 240*h + 412*h - 117*h = -2484 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2 and 68.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 2 - (6 + (-3 - 1) + 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*(-3)\/9 - 188\/(-141)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3\/((-6)\/(-10)) - 0. Suppose -g*a + a = -20800000. What is a rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*d - 3*q + 14, 5*d + 8 = 4*q - 3*q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4 (b) 0.5 (c) 1 (d) 8 (e) 4 (f) -147\/50 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1*(-8)\/44)\/((81\/594)\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:25 PM and 5:54 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -259*p + 257*p = -2*z + 10, -7*p = 2*z - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 3, h: 4}. What is prob of sequence hhhh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(136) - (sqrt(136) - sqrt(136)*-2 - sqrt(136))))\/sqrt(1568).\nAnswer: -sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 153933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 31 = 2*t + t, t = -v - 11. Let d be 6\/t + 232\/(-12). Let r = 29 + d. Calculate the lowest common multiple of r and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1018 and 1576373?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -21*h**2 + 4*h + 20. Give v(-3).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-5)\/20 + (-1)\/48*-4. Which is the smallest value? (a) 5 (b) d (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -3*n. Let i be c(3). Suppose 2*v = -5*t, 0 = -2*v - t + 2*t - 12. Let f = v - i. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 25 + -20. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**2 - 2*f - 1. Let b be q(-1). Let m(k) = -k**2 + 27. Let l be m(b). Solve 3*s - 3*j + 18 = 0, -l = 2*s + 2*s - 5*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 552 minutes after 6:21 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 183*z**2 + 12*z - 35. What is the tens digit of b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.4 + 2.4. Let r = -136 - -131.12. Let s = r + f. What is s rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*w = 13*w - 130 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -46*i - 163*i + 27*i + 3264 - 1635 - 1631.\nAnswer: -182*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:52 AM and 10:20 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:36 AM and 9:09 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6070?\nAnswer: 2, 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the first derivative of 5 + 1\/9*q**3 - 1\/3*q**2 + 1\/3*q. Factor g(k).\nAnswer: (k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 393 - 430. What is the nearest to -1 in -0.5, -0.1, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*y**2 - 3*y.\nAnswer: -3*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 15622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 17594, 17605, 17616, 17627, 17638?\n\"Answer: 11*f + 17583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the second derivative of c**7\/42 + 13*c**3\/6 + 4*c. Find the second derivative of g(q) wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mmmmmmmmyy. Give prob of picking 4 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2167 - 21?\nAnswer: -2188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 9 = -21. Suppose -p = -h + w, h + 0*h + 4 = -w. Suppose h = -u - 3*b, 0*u - u - 2*b = -3. What is the highest common divisor of u and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -9, 1267\/5637, 0.3 in descending order.\nAnswer: 0.3, 1267\/5637, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 86915.\nAnswer: 5, 17383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 5 + 2)*(19*f**5 - f**5 + 78*f**5) + (-2*f**4 + 5*f**4 - 2*f**4)*(6*f - 16*f - 3*f).\nAnswer: 275*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 + -2. Let o(p) = 3*p**3 + 2*p**2 + p. Let y(v) = v**2 + 6*v + 8. Let f be y(-3). Let m be o(f). What is the nearest to w in -0.5, 5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 191 is divided by 95?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = -52 - -262\/5. Suppose -96 = 2*d + d. Let m be (-4)\/(d\/(-6))*4. Is m at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-94335)\/(-44023))\/(2\/(-70)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 2\/3 (c) -112556 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.27 (b) -5 (c) 0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 383951.568 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -39561, -39291, -39021?\n\"Answer: 270*q - 39831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 145886777 to the power of 1\/3, to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 19636129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the second derivative of z**7\/42 - z**6\/60 - z**5\/12 + z**4\/12 + z**2\/2 + 3*z. Let q(w) be the first derivative of n(w). Factor q(m).\nAnswer: m*(m - 1)*(m + 1)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.1, 6104, -4, 0, 5, -0.09?\nAnswer: 6104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1474159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = -0*t - 4. Suppose -2*n + 41 = -23. Let z = n + -18. Calculate the greatest common factor of t and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*l**3*v**3 - l**3*v + 295072*l**3 + 3339158*l**2*v**2 + 2*l*v**3 wrt l.\nAnswer: -12*v**3 - 6*v + 1770432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 45734648?\nAnswer: 2, 263, 21737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:05 PM and 4:42 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 23*x**2 + 17*x. Let j(l) = -4*l**2 - 3*l. Let q(m) = 34*j(m) + 6*u(m). Let k = 164 + -162. Let t(d) = 229 - 229 - 10*d**k. Determine t(q(a)).\nAnswer: -40*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from {z: 2, k: 1, c: 2, l: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -5*u + 14. What is v(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14055?\nAnswer: 3, 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 9 + -8.8. Let l(g) = 2*g**3 + 13*g**2 + 5*g - 9. Suppose -5*i = -2*n + 34, 12 = -5*i + 5*n - 28. Let x be l(i). Sort x, h, 3\/5 in descending order.\nAnswer: 3\/5, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 31 = 5*v, -5*v = 4*n + 104 - 87. Let z = -9.1 - -8. Let m = 6.1 + z. Put m, -0.5, v, 1\/5 in increasing order.\nAnswer: v, -0.5, 1\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 508486 and 2?\nAnswer: 508486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 572 minutes after 3:52 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + -2*sqrt(567) + -5)*-4)**2 - (sqrt(49)\/(sqrt(7) + sqrt(441)\/sqrt(7))*6 + 0).\nAnswer: 5757*sqrt(7)\/2 + 36688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 212.2867 - -0.0133. Let p = 212 - i. Which is the second biggest value? (a) -0.6 (b) 3 (c) 2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/12768 and -51\/14896.\nAnswer: 89376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = 37 - -37. Suppose -o = 3*k - w, 4*k - 2 = -w - 110. Is k >= -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -11.5, -30, 0, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -233031330 + 20?\nAnswer: -233031310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 0 + 178*v**2 - 8 - 1 + 8. What is the units digit of i(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-729)\/(-135) + 19046\/(-3115)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -80 (b) 0.08 (c) 8 (d) 2\/9 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -173434, -346864, -520292, -693718, -867142?\n\"Answer: w**2 - 173433*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 74624955 is divided by 74624946.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10 + -10110100101111100100000010110?\nAnswer: -10110100101111100100000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 513, 511, 509, 507, 505, 503?\n\"Answer: -2*s + 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -9*d + 4. Let h(w) = -3*w + 1. Let z be (-2)\/(-6)*-2*(-41 + -44 + 79). Calculate z*t(b) - 11*h(b).\nAnswer: -3*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from ttutttutettftt.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3*(-1)\/(-1)*(-276)\/(-3726). What is the second biggest value in h, 4, -1\/10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1241040 to the nearest ten thousand.\nAnswer: -1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1449 - 4345\/3. Put 3\/5, -0.4, 23, h in descending order.\nAnswer: 23, h, 3\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify w*(w*(w*w*w**(-20))\/w)\/w*w*w\/(w*w**(-2\/9)*w)*w*(w\/(w\/(w*w**7)))\/(w**(-7\/4)\/w) assuming w is positive.\nAnswer: w**(-217\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 6) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = i**3 + 11*i**2 - 5*i - 15. Let z be o(-11). Suppose -3*v + 76 = v. Calculate the remainder when -2 + 0 + z - 1 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 7442399, 7442421, 7442443, 7442465?\n\"Answer: 22*d + 7442377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3 - -43?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 251942977?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*b - 1335 - 1965. Calculate the greatest common factor of b and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-2\/27)*p*p*p*p**6\/p*p**(4\/9)\/(p\/(p\/(p*p*(p*p*p\/(p\/p**(-1\/9)))\/p))) assuming p is positive.\nAnswer: p**(148\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/(345\/132) - (-5 + 7).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -7*i**4*t + 8*i**3*t**2 - 90*t**2 + 1 wrt i?\nAnswer: -28*i**3*t + 24*i**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -19*n - 7 - 69 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-49)\/42)\/(52\/39).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18022 is divided by 3589?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 238 minutes before 9:49 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -w**3 + 5*w**2 + w - 2. Let d be o(5). Suppose -d*q = -q + 12. Is 17 a factor of 4\/q*153\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the second derivative of f**5\/10 + 5*f**4\/12 - 5*f**3 - 17*f**2\/2 + 94*f. Is s(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g**2\/8 - 117*g\/8 - 123\/4 = 0 for g.\nAnswer: -2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 172 = 5*v + 4*n, -3*v = 2*v + 3*n - 169. Suppose 10*z - v = 8. Solve -2*l = 2*l + 2*m + 26, -3*l - z*m = 32 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 87 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12837 - -12836.999971244. Round h to seven decimal places.\nAnswer: -0.0000288","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 86c74 (base 13) in base 9?\nAnswer: 411371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the second derivative of -l**4\/20 - 2*l**3\/5 - 9*l**2\/10 + 10*l. Solve n(c) = 0 for c.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1566 + -2?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the third derivative of k**4\/3 - k**3\/3 + 6*k**2. What is the tens digit of r(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-7)\/14 + (-18)\/4. Is (-4)\/(-6) - ((-12620)\/(-12))\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*n - 22*n = 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -25.1 - -2.1. Let r = -32 - i. Let x = -8.99 - r. Round x to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.446 and -5.\nAnswer: -2.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 0, 3, 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be 18*2\/9*3. Which is bigger: w or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y such that -22*y**5\/5 - 974*y**4\/5 + 57178*y**3\/5 + 319838*y**2\/5 + 90828*y + 101232\/5 = 0.\nAnswer: -76, -3, -2, -3\/11, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(15)\/sqrt(5) + 5 + -5)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -326 = 6*n - 404. Suppose 4*z = 7 + 5. Let p be z\/(-7) - (-828)\/21. Calculate the highest common factor of n and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 7 + 3)*(j - j + j - 1) to the form d + f*j and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6\/(-27) - 5*(-2)\/126. Which is the biggest value? (a) x (b) 2 (c) 0.1 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -3*w**2 - 9*w. Let a(t) = -t**3 + 18*t**2 + 19*t - 1. Let j be a(19). Let v be (-3)\/(-9)*12*j. Let y(z) = -z**2 - 2*z. Determine v*d(k) + 18*y(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (46\/230)\/(9\/(-5)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 92813 - 220 - (-32)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (624\/162 - -4)\/((-4)\/(-2946)). Let r = z - 5789. Find the common denominator of r and 86\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -32*k**4 - 15*k**3 + 4*k**2 - 125737*k wrt k?\nAnswer: -384*k**2 - 90*k + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2116*h - 563*h + 1024 + 16275 - 216 = 0 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**2 - 4*w + 3. Let i be ((-4)\/4)\/(-1) - 1. Suppose 2*h - 2 = -i. Let x(o) = -o + 1. Let n(y) = h*x(y) + l(y). Find v, given that n(v) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2335, -9268, -20743, -36700, -57079, -81820, -110863, -144148?\nAnswer: -181615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o. Let m = -142\/3 - -48. Let x(y) be the first derivative of 0*y + 1 + 0*y**2 - m*y**3. Give x(q(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-10)\/16*-3837)\/((-279)\/(-2898)). Let j = m - 24910. What is the common denominator of j and 71\/8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 26*x - 110*x**4 + 821*x**3 - 820*x**3 + 105*x**4 to b*x**3 + t + g*x**2 + q*x + i*x**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 2*w - 3*w + 647475 = 0, 0 = u - 5*w - 161850. Suppose 4*i - u = 66135. Round i to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dbvvtlh. Give prob of sequence vht.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 - x + 2 + 0 + x + 0 + (0*x - 4*x + 2*x)*(1 - 4 + 5) + 2 + x - 2 + 2*x - 3*x + 7*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = 4*m - 473*c + 476*c, -3*m - 6 = 5*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2324532*f**2 - 18*f - 67395234 wrt f?\nAnswer: 4649064*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.0477 - 0.3523. Sort -0.1, 3\/5, -4, a in ascending order.\nAnswer: -4, a, -0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 257948720?\nAnswer: 2, 5, 1279, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1953 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -428926.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 34370705 to the power of 1\/3, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -25 + 22. Let n(v) = -7*v**3 + 5*v**2 + 5*v - 5. Let t = 81 - 78. Let c(p) = -37 - 3*p**2 + 30*p**3 + 40 - 26*p**3 - t*p. Determine w*n(i) - 5*c(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 2 h when three letters picked without replacement from {y: 3, u: 1, q: 5, h: 1, g: 1, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:18 AM and 3:59 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5 - 3. Suppose 2*d - 8 = -2*w + 18, 0 = c*w - 2*d - 34. Solve -4*z = -y + w, z = y - 3 - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -p**2. Let w(f) = 1. Let c(n) = 5*n**2 - 5. Let t(u) = c(u) + 5*w(u). Calculate t(h(k)).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -k**3 + 5*k**2 + k - 2. Let w be b(5). Suppose -w*o - 6 + 21 = 0. Suppose -t = -3*i - 2*i + 91, -2*t = -o*i + 92. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 2*n + 20. Let o(t) = 10*t - 13. Suppose c - 45 + 43 = 0. Let x be o(c). Is 17 a factor of q(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**2 + 5*f + 4. Let g be q(4). Suppose 5 = 5*u - 60. Let v = u - g. Solve 0 = -v*l + 2*l + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:19 AM and 7:34 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1852745 and 28560?\nAnswer: 622522320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(3*1*sqrt(110))\/(-2*sqrt(160)).\nAnswer: 15*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**7*m**(-1\/2))**17 assuming m is positive.\nAnswer: m**(221\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Are -0.046 and 2079 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -5565265, -11130540, -16695823, -22261114?\n\"Answer: -4*l**2 - 5565263*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 80 - 49. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 401 is divided by 135.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -133*v**2 + 621*v. Let m(p) = -4*p. Determine f(m(o)).\nAnswer: -2128*o**2 - 2484*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a**5 - 586*a**4 - 594*a**3 + 1762*a**2 + 592*a - 1176 = 0.\nAnswer: -2, -1, 1, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 6*g + 7. What is the remainder when a(5) is divided by 38*(-3 + (-7)\/(-2))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -949 (base 10) to base 13.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 4.4606 to 1 decimal place.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 8545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0, -6, 1, 0.2, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*z = -5*j - 130, 9*z + 22*z = -2*z + 12*z - 3*j + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 78225, 157572, 236919, 316266?\n\"Answer: 79347*w - 1122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find x such that x**3 - 20785*x**2 + 2541426*x = 0.\nAnswer: 0, 123, 20662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*h**3 - 24*h**3 + 4*h**3 + 2*h**3 + 5*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 639 is divided by 82.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a - 7 = -22, -2*x + 25 = -5*a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.078 minus 0.04?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 11 + -3. Let p = g + -54\/7. Let n be 0 - 4 - 0\/3. What is the biggest value in p, -0.1, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -u + 14. What is the second derivative of u*n**2 - 7*n + 2*n - 54*n**2 wrt n?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 99 and 5786?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**3 - 5*x**2 + 6*x + 2. Suppose o - 1 = 3*w - 4*w, 4*o - 18 = 3*w. Let a be 18\/4*(12 + (-342)\/27). Let h = a - o. What is r(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*a - 3*a - 1 - 5*a**2 + 0.\nAnswer: -5*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3116 and 159232274?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k - 4058 = -69*k + 273 for k.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -2885.8 + -55872.4397\nAnswer: -58758.2397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -626.1 in -1, -29\/3, -10\/3, 0?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 170 + -169. Put -7, -4, d, 4 in descending order.\nAnswer: 4, d, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 9*r**3 + 5*r + 5. Suppose -3*n + n = -6. Suppose c = 3*t + 5, 5 = -3*t - n*c - 4. Let l(z) = 4*z**3 + 2*z + 2. Determine t*w(p) + 5*l(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**(-9))\/(m**(-6)*m)*m**1*m**4)**49 assuming m is positive.\nAnswer: m**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-33)\/6 - -5)\/((-2)\/20). Find the third derivative of -y**4 + y**4 - 90*y**z + 78*y**5 + 22*y**2 wrt y.\nAnswer: -720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*i**2 - 77*i**2 - 104*i**2 - 8*i**3 + 159*i**2.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h = 5*h - 300. Suppose 41*d + 144 = 49*d. Calculate the lowest common multiple of h and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*j - 61 = 29. What is the remainder when j is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -30 - -21. Is -11 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3 and 617787.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 15632265 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 5 - 2)*(2*z - z + 4*z)*(-3 + 2 + 0).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**3 - 16*q**2 + 16*q - 24. Let i be r(15). Let n be 5*(-1)\/3*6. Which is greater: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1464*g**2 - 8*g**5 - 82*g**3 - 30*g**3 + 141*g**3 wrt g?\nAnswer: -480*g**2 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lk when two letters picked without replacement from {u: 2, l: 4, k: 2, t: 8, i: 2, n: 1}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-32)\/(-176) + 9\/((-7722)\/12)*2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -56 + 99. Let v = -17 + i. Let r = 618 - 567. Calculate the remainder when r is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -3*r**3 - 11*r**2 - 4*r - 22. What is o(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -25*c - 17. Calculate the lowest common multiple of g(-2) and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 59375 - 3206395\/54. Find the common denominator of l and -22\/45.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -433911567*u - 45671300 with respect to u.\nAnswer: -433911567","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2 - 3310?\nAnswer: -3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be 39\/9 - -5 - -6. Which is smaller: 15 or j?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q, 1 p, and 2 r when four letters picked without replacement from {r: 4, p: 6, q: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 32\/3 + 5\/3. Let y = v + -26\/3. Is 3 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = m**2 - 12*m - 17. Let i be s(14). Suppose -10*r + i*r + 5 = 0. Put -2, 1, r in decreasing order.\nAnswer: 1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gmm when three letters picked without replacement from {s: 3, m: 4, x: 1, g: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -37 + -54. Let n = -389 + 29. Let x be (-14)\/q - n\/26. What is the highest common divisor of x and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*i + 22*i - 5*i - 4.\nAnswer: 7*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence djvv when four letters picked without replacement from djvvqqvvggggvq.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4327283\/3203229 - -2\/56197. Find the common denominator of -13\/264 and g.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -3.1 * -2249867\nAnswer: 6974587.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = -n + 8. Find the common denominator of ((-35)\/(-25))\/(n\/(-90)) and 29\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 12*(-16)\/12 + 7\/((-28)\/12)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 553850 and 318.\nAnswer: 1661550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-one quarters of a gram in milligrams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that 5*s**5 + 795*s**4 + 44235*s**3 + 1025705*s**2 + 7711560*s - 19892700 = 0.\nAnswer: -69, -31, -30, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - (-5 - 2)) + 5 + -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9 + 18.5. Let b = 10 - v. What is the smallest value in b, 0, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1328 a factor of 22115184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20*(-9)\/4050*-9.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.481 + 0.922. Let r = 0.059 + q. What is the second biggest value in -4, -0.2, r, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -6a8 (base 13) to base 8\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 92 and 12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2 - -242?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 40371113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 72117879.\nAnswer: 3, 24039293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/((-27)\/(-3))*-1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(17\/6)\/f**(-4\/21))**(-2) assuming f is positive.\nAnswer: f**(-127\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 167*z**2 - z**3 - 349*z**2 + 18*z**4 + 188*z**2 - 2 to the form i*z + u*z**4 + y*z**3 + q*z**2 + f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -2*s + 14. Let i = -762 - -681. Let p be (-8)\/(-6)*-3 + i\/(-9). Calculate f(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -36382825 or -109148473\/3?\nAnswer: -36382825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + w - 49 = -0*r, 3*w = 5*r - 57. Let j be (7 - 12)*12\/10. List the prime factors of (2 + j\/4)*r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 3*y + 15 = 5*l, 2*y + 2*l = 0. Let b be 2*(2 + -8 + 1). Let c be (b\/(-4) + -2)*-6. Sort y, 3, c in decreasing order.\nAnswer: 3, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -2*-3*(-8)\/960*-10*82\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -1.2 (b) 0.2 (c) 13\/2 (d) 4 (e) 19 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -11 - 2. Let y = i + 30. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -394 - -919. Suppose -791 = -4*a + 2801. Let r = a - v. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = -4*z. Suppose -4*c - 18 + 2 = z. Let p = c - -6. Calculate the greatest common divisor of 22 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 99349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 897*t + 19066. Determine y(-20).\nAnswer: 1126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4180 - -4320. Calculate the remainder when 5037 is divided by g.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Let k = -94 + 174. Is 24 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -4*n**3 + 2*n + 2. Let v(q) = -21*q**3 - q**2 + 10*q + 11. Give 2*v(b) - 11*z(b).\nAnswer: 2*b**3 - 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((sqrt(342)\/(sqrt(144) - sqrt(9)))\/((sqrt(2)*1 + sqrt(2))*6 - sqrt(2))*5)**2.\nAnswer: -2375\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1348?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 264937.\nAnswer: 23, 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 422 (base 13) to base 12\nAnswer: 4a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5112 = 14*a - 2*a. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 16, -4, 1, 3, 9.\nAnswer: -4, 1, 3, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 49*q**2 + 211*q. Let w(l) = 12*l**2 + 47*l. Let r(m) = 2*s(m) - 9*w(m). Find the second derivative of r(u) wrt u.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the third derivative of y**5\/60 + 7*y**4\/24 - 3*y**3 - 6*y**2. Let p be h(-9). Solve -4*b - 25 + 9 = p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11511337783 plus -0.0471?\nAnswer: -11511337783.0471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -120244221110 + 10?\nAnswer: -120244221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -82700 divided by 10.\nAnswer: -8270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -140520 - -92120. What is h rounded to the nearest 1000?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 15 = 2*n - c, 4*n + 5*c - 10 = 0. Find the first derivative of -13 - 2*z**2 + n + 5 wrt z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 102354 and 12.\nAnswer: 204708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 251 minutes after 5:55 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2058 and 126?\nAnswer: 6174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(63)*-6)**2 - sqrt(84)\/(-6*sqrt(72)\/sqrt(6)).\nAnswer: sqrt(7)\/6 + 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-5 + -261)\/(0 + (-6)\/21). Suppose 0 = -3*r + j + 929, 4*j - c = -3*r + 3*j. Calculate the greatest common factor of r and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 51\/((-3366)\/(-220))*192\/10?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 + 13 = 9*j. Suppose 0 = -j*y + 4*y + 3, 2*y = z - 195. What is the highest common divisor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*x = -14*x + f + 12, -28 = -3*x + 4*f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve v - 6 = m, 0 = -3*v + 6*v - 2*m - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -2*o**2 + o - 2. Let a(g) = -g**2 + 13*g + 5. Let c be a(8). Let m be (54\/c)\/((-2)\/(-5)). Determine w(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lllll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -13*a**3 + 353*a**2 - 370*a - 522. Calculate k(26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 37 - 22 - (-190)\/(-12).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 8*i**2 - 58*i - 543. What is the tens digit of z(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 + 4. Let a = 3 - 3.4. What is the nearest to z in a, -2\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (570\/(-285))\/((119\/(-154))\/(-17)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = 5*g - 9 - 56, 2*h + 40 = 3*g. Calculate the highest common factor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -18903580*d**3*n + 5064978*d**2*n - d**2 wrt d?\nAnswer: -113421480*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qw when two letters picked without replacement from qqqqwqqqqqqqq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 14 * -4913.52\nAnswer: -68789.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 37243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -c**3 + 11*c**2 + 4*c - 5. Let t be b(11). What are the prime factors of t - 12\/(4\/(-1))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 20 = -2*w + 53, 0 = -3*z - 2*w - 251. Let i = z - -92. Calculate the remainder when 27 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -12*r - 2. Let y(u) = 30*u + 44. What is y(n(q))?\nAnswer: -360*q - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 12084 and -0.3?\nAnswer: -3625.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2261139 divided by 6.\nAnswer: -753713\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 297965377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5911?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out 553.4 - 0.0492.\nAnswer: 553.3508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -275*m + 32*m - 6*m**2 - 1 + 1.\nAnswer: -6*m**2 - 243*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = 79 - 77. Suppose j*p + 2*h - 530 = 0, -4*h = -2*p - 2*p + 1068. What are the prime factors of p?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 514972*b**4 - 59*b**3 - 201*b - 11931 wrt b?\nAnswer: 6179664*b**2 - 354*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 3*l - 4. Let g(m) = 2*m - 5. Let c(k) = 5*a(k) - 6*g(k). Let y(o) = 2*o**2. Give y(c(s)).\nAnswer: 18*s**2 + 120*s + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by -17.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -0.2, 54.97 in decreasing order.\nAnswer: 54.97, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -7 divided by 65?\nAnswer: -7\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49960 is divided by 9985?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -8 + 3 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -29 - (-3 - 45) - -23.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(72) - (sqrt(72) - (sqrt(72) - -1*sqrt(72)*2)))\/(sqrt(12)\/sqrt(3)*-2))\/(-1*(sqrt(600) + (sqrt(600) - -3*sqrt(600)) - sqrt(600))*4).\nAnswer: 3*sqrt(3)\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l**2 + 7*l - 6. Let p be r(6). Suppose 2*t + 5*x + 15 = -3*t, -t + x - 5 = p. Let n be 12\/16*t\/17. Is n != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -18, -50, -94, -150, -218, -298, -390?\n\"Answer: -6*g**2 - 14*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -97361, -989 in descending order.\nAnswer: 5, -989, -97361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 6*a + 20. Suppose 8*m + 4*n - 14 = 10*m, 0 = -3*m - 3*n - 39. Let p(w) = -w - 4. What is m*p(q) - 2*l(q)?\nAnswer: -q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -5*x + 232. Give s(-47).\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e, 1 v, and 1 s when three letters picked without replacement from yzssszsessfzv?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 12*d - 360. Determine h(31).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -15774731 divided by -118607\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) be the first derivative of -4*w**5\/5 - 30*w**4 - 300*w**3 + 362. Factor a(f).\nAnswer: -4*f**2*(f + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = 5*n - 85, -4*t - 42 = -2*n - 0. Solve 0 = 4*r + 4, 4 = 4*y + 5*r + n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 595\/(-51)*((-372)\/434)\/((-220)\/(-14))?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -256*p**2 + 2*p + 0*p + 258*p**2. Let f be u(2). Calculate the highest common factor of 108 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*w + w - 7*w)*(-82 + 177 + 151 + 4 - 5 - 5 + (4 - 3 + 0)*(1 - 1 + 1) + 0 + 0 + 2).\nAnswer: -972*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from {d: 1, i: 4, b: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u be 574\/616 + (18\/8)\/(-3). Which is the third biggest value? (a) u (b) -10 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1\/158 + 321\/790. Let o = 129 - 644\/5. Which is the nearest to 2\/7? (a) 2\/23 (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4786 + 4788. Let n be 1\/8*-1*-2. Factor 0*f + 1\/2*f**3 + 0 - 1\/4*f**w - n*f**4.\nAnswer: -f**2*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r\/(r\/r**(-2\/17)*r))\/(r\/(r\/r**1*r)))\/(r**(-1\/2))**(-48))\/((r\/(r*r*r**(-2\/3)*r))**41*(r**(-1)\/r)**(21\/2)) assuming r is positive.\nAnswer: r**(2629\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that 233\/3*m + 1\/3*m**3 - 116\/3 - 118\/3*m**2 = 0.\nAnswer: 1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1540 or -1518?\nAnswer: -1518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(1 + (sqrt(50)\/(sqrt(5) + sqrt(5)*-2*-1 + sqrt(5)))\/(sqrt(6)\/(sqrt(9)\/sqrt(3)) + sqrt(128)*-2)).\nAnswer: -6 + sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -32*c**2. Let p(b) = 1122*b**2. Let i(f) = 6*p(f) + 209*u(f). Let m(o) = -2*o**2 - 3*o + 3*o + o**2. Calculate i(m(j)).\nAnswer: 44*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i + 18. Let t be c(15). Let p = 2 - -4. Suppose -2*w - t*d = p, -5*d - 5 = -w + 5. Solve w = -0*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = -0*m - 26. Suppose 0 = 4*q - 4*o + 28, 4*q - 4*o + m = 3*q. Let y = -1 - -1.3. Which is the closest to 1? (a) y (b) -2\/11 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*k - 6*k - k)*(4 - 4 - k) + (13*k - 7*k - 13*k)*(4*k + k - 3*k).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 4 (b) -5 (c) -1\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 779850 and 7200.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -11\/104 and -127\/260.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -40*q - 664. Let c be (280\/q)\/5*-6. Solve 3*l = -4*l - c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12 + -14 - -1) + 3 + 0 - 17.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -37.41 rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 25006490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47*v = -301 + 2933. Sort -37, 3, v in increasing order.\nAnswer: -37, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -78386*m**3 + 1540*m**2 - 770*m. Let a(d) = -305*d**3 + 6*d**2 - 3*d. Calculate 770*a(j) - 3*i(j).\nAnswer: 308*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 5*t - 3*t = -10, 4*t - 7 = 5*g. Let w = 3.795 - -0.205. What is the second biggest value in w, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from {o: 7, y: 5, t: 1, u: 6}.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -14*o + 9*o + 4*b + 5721, 0 = 4*o - 4*b - 4580. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*o = 54*o + 4912. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n**2 + 3*n + 15*n**2 - 5*n**2)*(0*n**2 + n**2 + n**2).\nAnswer: 20*n**4 + 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.5, -2\/7, 1, -2\/9, -3\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 239033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-14)\/35)\/((-10)\/(-15)))\/((-27)\/(-105300)*26)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k - 17 - 28. Let d = k - 2. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 18990 and 4220.\nAnswer: 37980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-2)\/5)\/(9\/(-45)). Suppose -3*h + 3*c = t*h - 148, -3*c - 3 = 0. Suppose y = -0*y - 3*k + h, 4*y + k - 72 = 0. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 16*t. Let k(d) = 37*d**2 - 8*d + 8. Give k(y(p)).\nAnswer: 9472*p**2 - 128*p + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -0.52, 1, -3\/4 in increasing order.\nAnswer: -3\/4, -0.52, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1045 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -v**3 - 2*v**2 + 2*v**2 + 2 wrt v?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 39623*0.5\nAnswer: 19811.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 3, z: 2, k: 4, b: 1}. Give prob of sequence zkzk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 5\/6 (b) 0.4 (c) 1\/1204921 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, -0.1, 2, -8, 20, 0.3 in decreasing order.\nAnswer: 20, 2, 0.3, -0.1, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*i**2 - 1128396*i.\nAnswer: 3*i*(i - 376132)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -8*s**2 + 22*s + 2. Determine h(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dddjwuz. Give prob of picking 1 w and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.5173411 - -1465.6173811. Let y = i + -1465. Let g = y - 0.1. Round g to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -1005 divided by -9\nAnswer: 335\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 1861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b - 2*b + b**2 + (-3 + 3 - 2*b)*(3*b + 3*b - 4*b) - 5*b**2 + b**2 + b**2)*(3*b**2 + 3164 - 3164).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 110 = 5*g + 5*k, 177*g - 182*g = -4*k + 88 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b = -11*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 40 and 356?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 3*m**2 - 1 - 8*m**2 + 4. Let v(t) = -26*t**2 + 16. Let s = 5 + -15. Let i be (-165)\/s + (-3)\/6. Give i*b(g) - 3*v(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x**2 + 30*x - 198. Let p be v(26). Which is the nearest to 0.1? (a) 1 (b) -0.4 (c) p (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 800793 and 4100301.\nAnswer: 545340033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14841839 is divided by 312.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -11\/1383 and 43\/5808?\nAnswer: 2677488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 62*c + 1080. What is the units digit of r(48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 191 minutes before 8:04 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -x - 2*x. Let q = -6\/9251 - -27777\/37004. What is the nearest to x in 2, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*l + 5*l + 1205078. Let i = l - 415078. What is i rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5 + -2587ba48?\nAnswer: -2587ba43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 3 q when four letters picked without replacement from vqooooocqgsq.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the first derivative of 4\/3*i**3 + 0*i - 2 + 1\/4*i**4 - 5\/2*i**2. Give u(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = p - 3, -2*h - 62 = -5*p + p. Let k(d) = p + 17 - d + 12 - 43. Calculate k(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 44 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.2 (b) -2\/17 (c) 71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes before 3:04 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 446 + -314. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.67 plus -17?\nAnswer: -16.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 31 + 129. Suppose -3*w = 3*r - 0*r - 9, -2*w - 42 = -4*r. Calculate the greatest common factor of r and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(612) - (5 + 4 + sqrt(612))) + -1*4*sqrt(612))**2 - ((-4 + sqrt(612)*-1 + 1)*-5)**2.\nAnswer: -5652 - 468*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wbbbbwuwuww?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3.98 - 0.02. Let p = s + 0. Put p, -0.5, 4 in decreasing order.\nAnswer: 4, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2483 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 3*r + v = 62, 0 = -5*r + 2*v + 173. Let i(g) = -75*g + 5. Let x be i(-3). Suppose 4*q - 150 = x. Calculate the remainder when q is divided by r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2158 and 126243?\nAnswer: 252486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1465566548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -32\/17 - -183\/34. Let j(z) be the first derivative of -5 + 8*z - u*z**2. Let p(f) = f - 1. Give j(k) + 6*p(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.226 - -0.074. Which is the closest to 0.06? (a) 0 (b) 2\/9 (c) -0.03 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 3 - 11 = 0. Suppose s*y - 2 - 14 = 0. Suppose -2*x = -6*x + y. Solve -6*q + x*q + 12 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z**3 - 2*z**2 + 7*z - 3. Let f be m(-4). Let p be (2\/1 - f) + -52. Let n = p + 52. Solve n = -r + 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 442921248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 267 = 2*c - o, 2*c = 2*o + 250 + 22. Suppose c*h - 126*h - 20 = 0. Solve -2*t + v - h = t, 5*v + 4 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1 - (-4 + (-1)\/(-1)). Suppose 0 = 3*d + 9, l*o - d = -3*d + 98. What is the remainder when o is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (100\/(-120))\/((-1)\/6). Suppose 3*f + 20 = h. Let b be f\/25 + (-6)\/(-15). Put b, -5, 3 in increasing order.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - 1\/(1\/(-65)*5))\/(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:52 AM and 7:20 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in sixty-nine halves of a year?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o**2 + 1460*o + 12000 = 0. What is o?\nAnswer: -8, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6092, 24412, 54964, 97754, 152788?\nAnswer: 220072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 728004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -0.0101 + -877\nAnswer: -877.0101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -467*n*y**2 + 10*n*y + 8676*y**2 wrt n.\nAnswer: -467*y**2 + 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4623 - -4622.939. Put -0.4, 5, -0.6, p, 0 in descending order.\nAnswer: 5, 0, p, -0.4, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) be the second derivative of 13*t**4\/3 - t**3\/2 - 2*t**2 + 6*t. Let a be m(-1). Suppose a*h + 80 = 55*h. Solve -5*y = -0*y + h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1011121201 (base 3) to base 11\nAnswer: 16355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 + 2. Let v(r) = -43*r + 174. Let o be v(4). What is the greatest common factor of z and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -200012000 (base 3) in base 5?\nAnswer: -411012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -714 - -715. Solve -2*x + 1 + l = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -14290, -28629, -43016, -57451, -71934?\n\"Answer: -24*h**2 - 14267*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 28, 2.5, -3\/8?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = z + 9*p - 6*p + 1, 0 = 3*z + p - 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -2*l + 42. Let m be h(21). Suppose m = 9*b - 22*b. Solve b = -5*g - 2 + 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-48)\/(-84))\/((-272)\/(-27608)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 61224200 rounded to the nearest 100000?\nAnswer: 61200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 270057942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 4 * -1.40384\nAnswer: -5.61536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h**5\/5 + 52*h**4\/5 - 574*h**3\/5 - 912*h**2\/5 + 3672*h\/5 = 0. What is h?\nAnswer: -34, -3, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 101 minutes after 7:25 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/12*(-24)\/(-10). Suppose 16 = -0*j - 4*j. Let r = 0.021 - 0.221. Which is the closest to 2\/5? (a) r (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 956 is divided by 196?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the second derivative of p**6\/15 + p**5\/5 + p**4\/6 + 6*p. Determine n so that s(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3917 - -3927 - (89 - (-3 - -2))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5599 is divided by 2714.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -252 + 252. Solve 10*s - 15 - 25 = g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -392\/3 - -132. Let l = 0.62 - -0.38. Which is the third smallest value? (a) 4 (b) n (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 141*u + 189*u + 6)*(1 + 2*u - 5*u + 2*u)*(3*u**3 + 4*u**3 + u**3).\nAnswer: -384*u**5 + 352*u**4 + 32*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 + 2)*(-2*s + s - s) + s + 4*s - 3*s + 3 - 3 - s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -b**3 + 9*b**2 - 6*b + 18. Let g be n(8). Let a = g + -28. Is a\/3 - ((1 - 2) + -36) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.8 and -0.0944813.\nAnswer: -0.8944813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/30 and -137\/1470.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p*p*p**(2\/83)\/p)\/((p*p*((p\/(p\/(p*p**1*p)))\/p)\/p*p)\/p*p) assuming p is positive.\nAnswer: p**(-164\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 372 = -2*f, 3*l + 3*f + f = 279. Let r = l + 168. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (0 - 5 - (-17 + 3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1*1\/(0 - -1). Suppose -5*o = -2*s - 46, -2*o - o = 2*s - 18. Let u = o - m. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 733869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9875 is divided by 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6712460*i**4 - 3*i**3 + i**2 - 473*i + 129920 wrt i?\nAnswer: -161099040*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 33 = 9. What is the third biggest value in 2\/5, t, -2\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3918370368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*u + 26*u - 16970 = 45*u. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/(-10)*13)\/((-16)\/32).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 + 10100001111101100011111001?\nAnswer: 10100001111101100011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 270526836 to the power of 1\/2, to the nearest integer?\nAnswer: 16448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*r**4 + 0*r**4 + r**4 + (-6*r**3 - 6*r**4 + 6*r**3)*(-1 + 4 - 2) + (-r**2 + 2*r**2 + 0*r**2)*(3*r**2 - 7*r**2 - r**2).\nAnswer: -13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -3044142441 (base 5) to base 10.\nAnswer: -6240371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3975168316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 552 and 1800?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is g in 2*g**3 - 126524610*g**2 + 2001059553694206*g + 2001059680218818 = 0?\nAnswer: -1, 31631153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2309, 2321, 2333, 2339, 2333, 2309, 2261, 2183?\nAnswer: 2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1151405 is divided by 312?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 67366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11666 + 12784. What is the smallest common multiple of s and 52?\nAnswer: 2236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 780.1039 weeks to milliseconds.\nAnswer: 471806838720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -867, -1193, -1963, -3363, -5579, -8797?\n\"Answer: -31*p**3 - 36*p**2 - p - 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) be the third derivative of t**6\/120 - 2*t**5\/15 + t**4\/12 + 11*t**3\/6 - 57*t**2. What is m(8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1782.5 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 290 * 4.\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 2*u + 10. Let j be c(-8). Let y(t) = t**2 + 2*t - 6. Let v(l) = -1. Determine j*v(q) + y(q).\nAnswer: q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 48979 and 980.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 - (-56 + (14 - -12) + 30).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0178255l in millilitres?\nAnswer: 17.8255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t + 9*t + 14 = 2*z, 5*t + 15 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 51\/4 in -3, -1\/3, -3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 6 times -9564102?\nAnswer: -57384612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c*c**(-1\/5))*c*c**3)\/(c*c**(-1\/4))**(-35))\/((c**(-2\/5))**10\/(((c**3\/c*c)\/c)\/(c*c**(-4)*c))) assuming c is positive.\nAnswer: c**(769\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -4*m**3 + m + 1. Let k be b(-1). Suppose s = -2*l + 2*s - 7, l = k*s - 7. Sort 3, 1, l in increasing order.\nAnswer: l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4.873 - -0.127. Which is the biggest value? (a) w (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:52 AM and 8:53 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d = -56 + 20. Let z(i) = -20*i - 17. Let s(c) be the first derivative of -6*c - 7\/2*c**2 + 3. Give d*z(r) - 17*s(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = 54.8 + 8.2. Let p = -63.02 + y. Is p smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 21 + 9. Suppose -2*n = -n - f. Is 6\/n - 508\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (7 - 0) + (-4 + 4 - 8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 128207240?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/(-26) - 3348\/468.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 95\/42, -0.6, 0.1 in decreasing order.\nAnswer: 95\/42, 0.1, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 100110000110110000 (base 2) to base 8\nAnswer: 460660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*-181.\nAnswer: -905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - t**4 + 0 - 2*t**4)*((5 - 1 - 3)*(-19*t + 6*t - 26*t) + 0*t + 0*t - 8*t + (-t + t - 2*t)*(-3 + 1 + 0) - 1 + 1 - t + 2*t + 1 - 1).\nAnswer: 126*t**5 + 84*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = -106 - 114. Let k(g) = g**2 + 8*g + 5. Calculate the remainder when h is divided by k(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -b**5 + b - b + (5*b**3 - 2*b**2 + 3*b**3 - 5*b**3)*(3 - 3 - 2*b**2).\nAnswer: -7*b**5 + 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*n - 5*y + 40, -3*n - y = 2*y - 42. Let k = -49952 + 49962. Calculate the highest common divisor of k and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z + i - 83, -5*i = 3*z - 2*z - 23. Let f(j) = j**2 - j + 5. Let m be f(7). Let a = m - 32. Calculate the remainder when z is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.195*-7692.\nAnswer: -1499.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12673.\nAnswer: 19, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06418509 rounded to 3 decimal places?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ldllzdokwzzkzwl. Give prob of sequence wk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that -3*k**3 - 996*k**2 + 3009*k - 2010 = 0.\nAnswer: -335, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (0 - (2 - (2 - 1))) + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from swswszkszwk. What is prob of sequence wzs?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*w**2 - 5*w**2 - 12*w**2 + w**2.\nAnswer: -29*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6 + -2. Suppose -15 = -2*q + h, o*q + 2*h = 27 - 9. Suppose -2*f = q - 40. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 581269159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 359 - 525. Let s = 1164\/7 + j. Let l = -1\/16 + -3\/16. Which is the closest to l? (a) 2 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = j**2 - 39*j + 40. Let y be w(1). Sort 55, y, -5.\nAnswer: -5, y, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 252 minutes after 8:09 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 2 = -h + 4*y, -18 = 4*h + 5*y. Let d(x) = -23*x**3 + x**2 - x - 2. Let u be d(h). Suppose -6*m = -10*m + u. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17569.\nAnswer: 17569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-1\/5)\/u**(1\/29))\/(u**(-15)*u**(-14)) assuming u is positive.\nAnswer: u**(4171\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 439904774 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -1772?\nAnswer: 5\/1772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 2 (b) 54.9 (c) 2\/5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k - 2. Let p be x(7). Let c = p - -9. What are the prime factors of 2 - c - (4 + -49)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p + 1. Let c(v) = 4*v**2 - 4*v + 8. Let a(l) = 9*l**2 - 9*l + 19. Let d(o) = 6*a(o) - 14*c(o). What is -d(i) + 3*t(i)?\nAnswer: 2*i**2 - 5*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/f**(-1\/30))\/f**(-6))**(-13) assuming f is positive.\nAnswer: f**(-2743\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oppoplp. Give prob of sequence lop.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -2*b**3 - 63*b**2 + 84*b + 3429. Give l(-31).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 148 is divided by (2\/22)\/((-14)\/28) + (-10488)\/(-209).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:55 PM and 4:50 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put together -1.19119 and 244.\nAnswer: 242.80881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 4*j**4\/5 + 1976*j**3\/5 - 11988*j**2\/5 + 1208*j + 4000 = 0.\nAnswer: -500, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(2\/5)\/(y\/y**(-2\/13))*(y*y\/((y*y\/((y\/y**(2\/3))\/y*y)*y)\/y))**(-2\/9))**(1\/3) assuming y is positive.\nAnswer: y**(-1453\/5265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes after 11:06 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (a + 0*a - 2*a)*(3900 - 1488 + 2837).\nAnswer: -5249*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:25 PM and 5:24 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 557\/6 + -93. Which is the second smallest value? (a) -2\/13 (b) -2\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 4) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -15*l**2 - 7*l + 8. Let o be w(-6). Is (2\/(-4))\/(5\/o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 k and 1 i when four letters picked without replacement from ikiiiiiiki.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/3 - (1 + 1\/(-12)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -2.88589+33.5\nAnswer: 30.61411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*c**2 - 2*c**2 + c**2)*(2*c**2 - 3*c**2 + 8*c**2) + 0*c**2 + 0*c**2 + 67*c**4 - 14*c**4 as v*c**4 + k + u*c**3 + b*c**2 + h*c and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*b**3 - 4*b**3 + 3*b**3 + (-b**3 - 5 + 5)*(0 + 0 - 4) + 431*b**2 - 29*b**3 - 431*b**2 to the form t*b + x*b**2 + z + d*b**3 and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5076204*r**6 + 2*r**5 - r**3 + 11*r**2 - 38450*r?\nAnswer: 609144480*r**3 + 120*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 - 4. Let u(b) = -2 - 8*b + 5*b - 7*b - b**2. What is the least common multiple of 18 and u(n)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -533530530 + -2?\nAnswer: -533530532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 3*g = 5*x - 17, 45 = 5*x - 5*g. Suppose -2*c = 6*j - 204, -161*c + 156*c + 150 = 5*j. Solve -x = 5*f - j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6? (a) 3\/4 (b) 11 (c) 282 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h**3 - 150*h**2 + 5371*h - 161. Suppose 7*v - 4*v = 165. What is the remainder when v is divided by g(91)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -46*g**3 - 1. Let z be l(-1). Suppose 5*s = 38 + 37. Calculate the greatest common divisor of z and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-268)\/(-2278) + (-3204)\/68?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 97 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 + 3. Suppose 2*l = -l + 9. Suppose l = 3*g - j*g. Calculate the remainder when 7 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4 + -4. Let r = -13 - f. Let z(s) = -s**2 + 20*s - 95. Let c be z(12). Put 2, c, r in descending order.\nAnswer: 2, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35126293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from {d: 4, a: 6, l: 9}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i and 2 u when four letters picked without replacement from {i: 3, m: 4, u: 10, s: 2}?\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*p - 67520 + 17048. Let r = p + -2999. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*o + 20, 5*o = 14*f - 9*f + 45 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l**2 + l - 4. Let n(j) = 23*j**2 - 2*j - 11. Give -n(w) + 3*v(w).\nAnswer: -20*w**2 + 5*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = b**3 - 2*b**2 - 3*b. Let k be z(3). Suppose k = 4*h + 9 - 85. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 132986929299 and -98?\nAnswer: 132986929397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20\/24*3\/(-10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.8653 rounded to 2 dps?\nAnswer: 2.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 17898811.7 rounded to the nearest 100000?\nAnswer: 17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -1, 2\/9, -3\/16, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -20, -0.4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -5*o + 27979, 2*o + 338*m - 11182 = 342*m. What are the prime factors of o?\nAnswer: 11, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*c**5\/17 - 7176*c**4\/17 + 2446*c**3\/17 + 20692*c**2\/17 - 22328*c\/17 + 6384\/17 = 0. What is c?\nAnswer: -399, -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) -2\/13 (c) -8 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -173 or 0.419?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 355, 708, 1057, 1402, 1743, 2080, 2413?\nAnswer: 2742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h = 4*q + 28, -6*q - 30*h + 26*h - 44 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -19473*t**2 + 18280*t.\nAnswer: -38946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -4 + 4 - 19*v. Suppose -2*c + n = 2*n + 15, -4*n - 36 = 4*c. Let u(i) = -i + 12. Let g(q) = 3*q - 34. Let l(y) = c*g(y) - 17*u(y). Calculate l(t(w)).\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -651 divided by 217?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = 30808 + -30808. Solve u = 167*o - 168*o - 9 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 24260712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -820? (a) -3\/2 (b) 2\/21 (c) 1\/5 (d) -1\/2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 10.26 + -10.18. What is the closest to 0.8 in k, -1, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9163, 18326, 27493, 36664, 45839, 55018?\nAnswer: 64201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be -7 - ((-3 - 0) + 3). Let g = s - -11. Let z(w) = -w + 22. Calculate the smallest common multiple of z(0) and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 74080486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 385, 816, 1337, 1948, 2649?\n\"Answer: 45*b**2 + 296*b + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 12.26741 > -397\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -156185 plus -0.06?\nAnswer: -156185.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 50 minutes after 6:35 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(700)*-3)**2 + -2 + 3.\nAnswer: 6303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2636, -0.072, -1?\nAnswer: 2636","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 57\/15464 and 87\/7444?\nAnswer: 28778504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 615515097.\nAnswer: 615515097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14945548?\nAnswer: 2, 1871, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that n**2\/5 + 454290*n + 257974255125 = 0.\nAnswer: -1135725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -0.05551+-20.384\nAnswer: -20.43951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -20837, -20839, -20841?\n\"Answer: -2*t - 20835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -4035, 4, -5, 0, 11, 6 in increasing order.\nAnswer: -4035, -5, -3, 0, 4, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.03? (a) 3\/5 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = -4*w - 45, -4*w - 3 - 12 = q. Calculate the least common multiple of ((-27)\/(-2))\/((-3)\/(-4)) and (12\/w)\/(1 + 292\/(-280)).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -9*v**3 - v**2 + v + 4. Let n be x(3). Let m = n - -417. Suppose -k - 2*t = m, -368 = -2*k + 4*k - 2*t. What is k rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 86493.\nAnswer: 3, 11, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 14*r**2 + 10*r + 47. Is k(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**2\/3 - 1206*t - 7228\/3.\nAnswer: -2*(t + 2)*(t + 1807)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -2*t. Let u = 0 + 4. Suppose 0 = -4*c - 20, 19 = -z + 2*z - u*c. Is y(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 9*g. Let a(j) = 2*j + 8 - 3*j - 8. Determine a(b(w)).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, z: 3}. What is prob of sequence gzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3278?\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7374 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.029 (b) 6 (c) -0.1 (d) -2\/5 (e) -0.5 (f) 35 (g) -88\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5\/4, -12, 3\/5, -7?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) be the first derivative of 2*u**2 + 35. Let i(q) be the third derivative of 0*q**3 + 1\/30*q**5 + q**2 + 0 + 0*q + 0*q**4. Give s(i(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2969374.\nAnswer: 2, 643, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0\/((-1 + -4)*-1))\/1. Let y(h) be the second derivative of m - 1\/10*h**5 - 6*h + h**3 - 1\/3*h**4 + 0*h**2. Factor y(q).\nAnswer: -2*q*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**3 + 11*x**2 - x - 6. Let m be p(-11). Suppose -m*f - 2*g - 40 = 3*g, 3*f - 5*g = 0. Let b(y) = 2*y + 0*y**2 + y**2 + 4*y - 1. Calculate b(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*n - 24*n = 39*n + 7*n + 2438 for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -22.8 + 28. Let m = 6 - s. Let r = -0.3 + m. Put r, -1\/4, 0 in descending order.\nAnswer: r, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = 4*o - 2, h + 8*o + 15 = 3*o. Let w = 32 - 21. Sort 4, w, h in descending order.\nAnswer: w, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 30934*g - 2 + 288712*g.\nAnswer: 257778*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 1 = -29. Suppose 0 = 3*o - 10 + 1. Calculate the lowest common multiple of o and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 275, 546, 815, 1082?\n\"Answer: -l**2 + 274*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 2*h - 4 = -3*r, 3*r + 5*h = 21. Suppose r*o = 3*z - 12, 13*z - 14*z + 4 = -2*o. Solve -5*j + 20 = o, -1 = -5*c - 2*j - 18 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 3*t + 20 = -2*y, -25 = -5*t - 2*y. Let x(u) = -u**2 + 5*u + 5. Let z be x(t). Solve z*c = c + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1\/91 - 2\/13. Let p = 25 + -21. Let x = 43\/378 + -1\/54. Which is the second smallest value? (a) v (b) p (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 16 divided by -36083\nAnswer: -16\/36083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -51326*v**2. Let o(f) = -62*f + 3. Determine o(r(c)).\nAnswer: 3182212*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from {p: 1, e: 2, c: 6, y: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 96903487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*o + 0*o + 12*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i and 2 o when four letters picked without replacement from kidofowoddw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**(3\/5)*o*o*o*o)\/(o*o**(1\/2))*o**(-2\/3)*o**(3\/5)*o*(o**(-5)*o**(-3)*o*o*o)\/((o**2\/o*o)\/o**(-2\/3)) assuming o is positive.\nAnswer: o**(-79\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 1, u: 12}. What is prob of picking 1 u and 1 h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/525 less than -459878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (17 - (-28305)\/34) + 2\/4 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:12 AM and 12:39 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 853947.8 decades?\nAnswer: 85394.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 12805446*h**3*r - 14*h*r + 203202006*r with respect to h.\nAnswer: 38416338*h**2*r - 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 592429950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 58602 by 1.\nAnswer: 58602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 12725 by -2545.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from seeeeeseeeeeeeeeeeee. Give prob of picking 1 s and 3 e.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -13*s - 1186. Determine t(-59).\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r. Let h(q) = 97*q**2 + 8*q - 11. Let i(o) = h(o) - 2*s(o). Is i(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 5 = 5*v, 7*v = 4*b + 11*v + 4. Suppose -5 = -2*t + 3*t - 4*c, b = -t + c + 10. Let o(a) = a. Let u(s) = -6*s. Determine t*o(l) + 2*u(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 78 and 51.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let -4863\/2*t**2 + 6723*t - 3\/4*t**4 - 4374 + 333\/4*t**3 = 0. What is t?\nAnswer: 1, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 4 - 1)*(-172*f + 601 - 601) + 5*f - 26*f + 3*f.\nAnswer: 326*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -74*x - 997. Give g(-14).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 3*q**2 + 25*q + 46. What is z(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -10*t**3 - t**2 + t + 31. Give y(-3).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 249139481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2189787 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -4*b**3 - 5*b**2 - 3*b**3 - 3 - 6*b + 6*b**3. Let h be k(-4). Let x be 2\/h + (-98)\/70. Sort -3, x, -5.\nAnswer: -5, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:08 PM and 1:45 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 0 - 3*j**3 - 1 to i*j**3 + z*j + a*j**2 + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 185881, 185852, 185823, 185794, 185765, 185736?\n\"Answer: -29*w + 185910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the first derivative of -13*j**4\/8 - 17*j**3\/6 - j**2 + 272. Let y(m) = 0. What is m?\nAnswer: -1, -4\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45 - 193 + 103 + 45 - 4*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -346 = -4*m + 5274. Suppose 4*n - 2999 = -4*b + m, -n + 1096 = -4*b. Round n to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*sqrt(170) - sqrt(170))*1*5*-6)\/(-6*sqrt(810) - (sqrt(70)\/sqrt(63) + sqrt(10))).\nAnswer: 135*sqrt(17)\/83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-60)\/(-16))\/((-576)\/(-74496)). What is the greatest common factor of 3201 and s?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5\/6 (b) 4 (c) -1\/14 (d) 17 (e) -1\/5 (f) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4619.2*-111.\nAnswer: 512731.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) -16 (b) 0.139 (c) -7 (d) -86 (e) -2\/17 (f) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*k = -41*k + 1184. Suppose k - 99 = g. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -5*o - 5. Suppose 5*i + 12 + 8 = 0, -c = -3*i - 8. Let n = -10 - c. What is the units digit of v(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 58.4 + -63.4. What is the nearest to -1\/4 in d, -26\/9, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 3 - (8 - 4) - (32 + 15 + 70)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = 9*v + 3*v. What is the fourth smallest value in -5, -0.3, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = c**2 - 156*c - 810. Let t be w(-5). Let x = 23 - 16. Let u = x + -16. Which is greater: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((1*sqrt(220))\/sqrt(11))\/(sqrt(100) + (sqrt(100) - (sqrt(100) - sqrt(100)*3)) + sqrt(100)) + -1)**2.\nAnswer: -2*sqrt(5)\/25 + 126\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 6*m + 4. Let n(y) = -3*y - 2. Let u(p) = 6*g(p) + 11*n(p). Let b(h) = -h - 1. Let d(f) = b(f) + u(f). Let w(o) = -1. Determine d(v) + 3*w(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = -19 + 21. Let s = c - -2. Put 1\/6, s, 1\/2 in descending order.\nAnswer: s, 1\/2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - g = 2*a + 1348, -5*a = 5*g + 2260. Let i = -895\/2 - a. What is the nearest to i in -5, -25, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8543?\nAnswer: 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 184348800 by 666.\nAnswer: 276800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6\/29? (a) 0.1 (b) 1\/14 (c) -3 (d) -72 (e) 0 (f) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 60969999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:15 PM and 9:51 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -59654425.6358 - -59661003. Let h = -6578 + c. What is h rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 - -1000121002102?\nAnswer: 1000121002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 644.9 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -11181, -11183, -11185, -11187, -11189, -11191?\n\"Answer: -2*b - 11179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.5, -0.02, -1, -0.1, 2, 0.0374?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-4 + sqrt(252))**2 + -2 + (sqrt(56)\/(sqrt(72) + -3*sqrt(72)))**2.\nAnswer: -48*sqrt(7) + 9403\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the first derivative of -7*c**5\/60 - c**3\/3 - 1. Let a(t) be the third derivative of m(t). What are the prime factors of a(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -227, -224, -153, 28, 361, 888?\n\"Answer: 7*r**3 - 8*r**2 - 22*r - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*l**5 + 4*l**5 - l**5 + (2 - 2*l - 2)*(0 - 6 + 0)*(-3*l**4 + 5*l**4 - l**4).\nAnswer: 15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) be the second derivative of 0 - 1\/9*y**4 + 2\/3*y**3 + 0*y**2 + 123*y - 1\/60*y**5. Solve g(p) = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2077863061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**3 - 16*q**2 + 31*q - 87. What is k(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 137 divide 10333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 189963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 200579\/3 or 66860?\nAnswer: 66860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) 2\/39 (c) -30 (d) 2.1 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 5*q + 11. Let t(g) be the first derivative of 13*g**2 + 56*g + 166. Give -16*i(s) + 3*t(s).\nAnswer: -2*s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (-955 + 478 + 264)*(7*m - 4*m + 3*m) as l + v*m and give v.\nAnswer: -1278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.4 (b) -3\/5 (c) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 33\/88 + 33096\/(-1216) + 27?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 49258440.999957 - 49258367. Let h = s - 74. What is h rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m = g + 11, 0 = -4*g + 19*m + 26*m - 42*m + 24 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 725, 743, 775, 827, 905, 1015, 1163?\n\"Answer: o**3 + o**2 + 8*o + 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that j**2 + 356361*j - 10691730 = 0.\nAnswer: -356391, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1904*l = 1897*l + 490. Calculate the greatest common factor of 315 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 3*k = 7, 5*k - 41 = 4*g - 10. Which is the fourth smallest value? (a) 1\/7 (b) 4 (c) 1\/5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1076.137 times -0.1?\nAnswer: -107.6137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -1192 divided by -22?\nAnswer: 596\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 799\/9 + -89. Let p = 111.8 - 101. Let x = p + -11. Sort x, 0.5, g in increasing order.\nAnswer: g, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*y - 20, -2*y - 46 = 2*k + 94. Let l = k + 77. Which is the nearest to 1? (a) 0 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -8336*d + 75001. What is k(9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 29\/60*3\/(-2) and ((-93)\/12)\/((-3190)\/(-319)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 30 (base 5) to base 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*l - 2*l + 4*l)*(4*l - l**3 - 4*l) - 986*l**4 + 7896*l**4 + 4739*l**4.\nAnswer: 11651*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 297441 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/9 (b) -15 (c) 10 (d) -5 (e) -2\/17 (f) -0.5 (g) 22.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 7026299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -55500 to the nearest one thousand.\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -2*g - 2. Suppose g*t - k - 1 = 16, 3*k - 3 = 0. Suppose -98 = -2*i + 2*b, -t*i - 4*b + 254 = -i. Is i a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand x**3 - 3*x**3 + x**3 - 3*x**3 + 8 - 8 + (-4 + 4 + x)*(-x**2 + 3*x**2 + 0*x**2).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from llzmzlllq. Give prob of sequence lz.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.392 + -1.392. Let u = 0.043 + 0.247. Let r = u + 3.71. Which is the closest to d? (a) r (b) -0.44 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 310356583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 3*v = -5 - 2, -4*x + 36 = 4*v. Factor -2*j**2 + 8*j**3 + 6*j**2 + 24*j - x*j**2 + 8*j**2 - 10*j**3.\nAnswer: -2*j*(j - 4)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24339 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -18*j**2 - 27*j - 52. Let f be k(-2). Let y be (-3 + f\/(-21))\/((-4)\/12). Put 3, 15, y in decreasing order.\nAnswer: 15, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6\/102 - 3796\/1241. Let m(a) = a**2 - 4*a - 29. Calculate m(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3686 - -3688. Sort t, -85, -3, -4, -5.\nAnswer: -85, -5, -4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -5*r**2 + 6*r + 96 wrt r.\nAnswer: -10*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2, -87, 1\/6, 3\/2, -57?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 3f6b74 (base 16) to base 15\nAnswer: 571751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-1)*-11*(-8)\/((-88)\/(-3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -1\/2, 21, 0.1, -1.1, 3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 9 = -4*q. Let n be 1 + q + 64 + -3. Let d = 26214 - 26199. What is the highest common divisor of n and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 62421885 and 48645.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (13 + (4 - 8))*-5. Let p = 80 + d. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -103 + 517\/5. Factor 1\/5*w + 0 + 1\/5*w**3 + j*w**2.\nAnswer: w*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6921*m**2*r - 6*m**2*y + 8461*m*r - 6*m*y wrt m?\nAnswer: 13842*r - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 - 3 + 4)*(4 - 2 - 3) + 3 - 3 - 1)*(-33 + 13 + 1)*(-8*d + 7*d - 3 + 0).\nAnswer: -38*d - 114","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -7*j - 3. Calculate the remainder when 42 is divided by l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:21 PM and 10:52 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**3 - u + 1. Let x(z) = -z. Let m(b) = j(b) - x(b). Determine m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n - 3. Let m(t) = -t**2 + 3. Let g be m(0). Let q be u(g). Suppose q*b - 6 = -2*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 2360, 7656, 16478, 28820, 44676, 64040, 86906, 113268?\n\"Answer: -k**3 + 1769*k**2 - 4*k + 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 62963 by -306.\nAnswer: -62963\/306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -695, -2586, -5739, -10154?\n\"Answer: -631*s**2 + 2*s - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -2*q**2 + 2*q**2 + 7*q**2 + q**2 as c*q + r*q**2 + t and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 196903 and 12428126?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2 - -1 - 1)*-1. Let a be 2 - 4\/(-1*q). Suppose -c + 21 = a*o, -4*c - o + 14 = o. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d + 7. Let r be w(-9). Let s = -12 + r. What is the second derivative of -u**4 + 3*u + 5*u**4 - 3*u**s wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 8*o = -3*o + 282235, -282255 = -5*w + o. Suppose -2*y - w = 4*v - 11856432, -2*v - 10 = 0. Round y to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1 and 4831.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 2*j. Let k be (0 - 1)*(1 + 0). Let d(v) = v**2 + 1. Let c be d(k). Let r(o) = o**2 - 2*o**2 - 2*o**2 + 5*o**c. Give m(r(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -2*h**3 - 443*h**2 - 4424*h + 1446. Calculate n(-211).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (-12*24\/32)\/((-12)\/(-3))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 46494850.\nAnswer: 2, 5, 929897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o + 4*m - 22 = 0, -3*o + 5*m + 28 - 17 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1212101212101 + -1?\nAnswer: -1212101212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -498, -492, -486, -480, -474?\n\"Answer: 6*l - 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 70 and 672.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ppppppppwpw. What is prob of sequence wpw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -151\/60 - -47\/20. What is the closest to 0.4 in 0.01, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*n + 15*n + 330 = 0. What is the remainder when 185 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 76292040677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 504, -5, 5 in increasing order.\nAnswer: -5, 1, 5, 504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 376321?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a**5 + 801*a**4 - 6849*a**3 - 224985*a**2 + 956736*a - 971460 = 0 for a.\nAnswer: -15, 2, 21, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 22646981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/((p\/(p*p\/(p*p**(4\/3)*p*p)*p*p*p))\/p))\/(p*p\/(p*p**2)*p))**(13\/2) assuming p is positive.\nAnswer: p**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u**2 - 14*u + 2. Let n be t(-14). Suppose -n*j = -0*j. Suppose -p - m + 0*m + 5 = j, 5*p - 25 = -3*m. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the second derivative of -k**6\/2 - 9*k**2\/2 + 21*k + 1. Find the first derivative of i(v) wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 28946281 to the nearest integer?\nAnswer: 5380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16 - -8) + (0 - 1 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -25*j**4 + 209*j**3 + 24502?\nAnswer: -100*j**3 + 627*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 166 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tptzpppzypzptpztpzy. Give prob of sequence pzp.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(-5 + sqrt(2299) + -1 + -4 - -6*(1*sqrt(76)*2 - sqrt(76))\/sqrt(4)))**2.\nAnswer: -8500*sqrt(19) + 139775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ffcz when four letters picked without replacement from fffzzcffffzzzzfffz.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 7479741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t + 4. Let d be p(2). Let s(y) = 3*y - y + d - 5*y**2 + 3*y**2. Determine s(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 769.44 - 763.44. Let h = 0.3 - -0.2. Let z be 5\/3 - (-6)\/(-9). Which is the closest to 1? (a) h (b) p (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be (226\/24 - -3)\/((-9)\/36). Are 0.1 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64 = 3*d + d. Let c = d - 14. Find the third derivative of -5*g**c + 21*g**4 - 13*g**4 + 5*g**4 wrt g.\nAnswer: 312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 983*g*q**2*z - 25*g*z**2 + 5*q**2 - 11419*q*z**2 wrt g?\nAnswer: 983*q**2*z - 25*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k = -3*b + 60, -9*k + 140 = -b + 184 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 374593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = -2*x + 8, 2*x = 2*t - 3*t + 5. Suppose t*w = 68 + 31. Let i = 30 + -19. Calculate the highest common divisor of w and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (3824\/11)\/2 - 150\/(-825). Let r = b - -73. What is the remainder when r is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 170628 and 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 1.11769149 and -0.054?\nAnswer: 1.17169149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-6)\/(-20))\/(60\/925690). Let l = q + -4627. What is the common denominator of l and -62\/25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*((sqrt(425) - sqrt(425)*1 - sqrt(425)) + 3 + sqrt(425)) + 2)**2*3 + 2.\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 5503, 1, 3, -5 in decreasing order.\nAnswer: 5503, 3, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k**3 - 10*k**2 + 13*k + 8. Let t be m(-11). Find the common denominator of 13\/8 and ((236\/(-6))\/(t\/21))\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a + 2. Let d be g(2). Let h = 0 - d. Is h <= 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*d + 49*d - 100 = 0. Let n be 2 + (5\/(-4) - d\/(-40)). Solve 4 = -f - n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5*(-6)\/(-5)*1*13\/78.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -4821144625 to the nearest 100000.\nAnswer: -4821100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*j + 2*j - 124. Suppose v + 0*v = j. Let c = 92 - v. Calculate the highest common factor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from igiiginiinni. Give prob of picking 1 i and 1 g.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.4, 0.04, -0.3, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 5\/31716 and -31\/11423046.\nAnswer: 68538276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 136*d*l**2*s**2 - 3*d*l**2 - 2*d*l + 2*l**2*s**3 + 2*l wrt s?\nAnswer: 272*d*l**2*s + 6*l**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-7\/5)*g*g**(2\/73))\/(g**(-2\/17))**(-23) assuming g is positive.\nAnswer: g**(-19102\/6205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -11 + 52. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 2229 = -59. Suppose 3*x = -x + p. What are the prime factors of x?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -1.82 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*v, 0*g - 2*v = g - 20. Let d = 80 - g. What is the smallest common multiple of 20 and d?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -396071957 - -445\nAnswer: -396071512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1499 - -1524. Calculate the highest common factor of n and 400.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -196755 - 125?\nAnswer: -196880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43261243963 - 27*m - 43261243963 - 2*m**3.\nAnswer: -2*m**3 - 27*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 144\/10656*518*(-34)\/(-2)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -932695 + -54422837\nAnswer: -55355532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4699888 and 1059236.\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*j - 4 = 8*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 214*y**3 + 182*y**3 - 397*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12002120 + -11?\nAnswer: 12002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -t. Let w be d(2). Let b = -30 - -52. Suppose b = -4*q - 5*l - 19, 2*q + 3 = l. Which is bigger: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1244*j + 465*j - 19416 = 2339*j + 8646 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - -81 - (41 - 1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -25 divided by 128.\nAnswer: -25\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(1088)*-2)**2.\nAnswer: -64*sqrt(17) + 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:57 PM and 1:09 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1301*o**2 + 2614*o**2 - 1318*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -5458561.478 to the nearest one hundred thousand.\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 987 and 6595839.\nAnswer: 46170873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (79*i**2 + 108*i**2 - 97*i**2)*(-5*i + 4*i + 0*i + 1 - 1 + 2*i + (-2 + 3 + 0)*(2*i - 2 + 2) + i + 2*i - i + 2 - i - 1 - i).\nAnswer: 270*i**3 + 90*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = 245 + -424. Let u = m + 179.158. Let s = u + -0.1647. Round s to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-18)\/60*-1 - (-8)\/40. Which is the closest to f? (a) -5 (b) -0.4 (c) 0.93 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11713421.\nAnswer: 11713421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 9*x**2. Suppose 0 = -f - 3*f - 3*j + 22, -2*f = 4*j - 16. Let k(u) = -2*u. Let m be k(-1). Let w(v) = f + m*v**2 + 0*v**2 - 4. Determine w(p(h)).\nAnswer: 162*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = -5*p - 3*w, -w + 1 = p + w. Calculate the remainder when 957 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -3*f**3 - 18*f**2 + 2*f + 7. Give c(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -64 - -108. Suppose -w + 1 = 0, -5*w + 119 = 2*d - 0*w. Let g = -45 + d. What is the remainder when n is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(120)\/sqrt(300))\/sqrt(2) + sqrt(45)\/(3*sqrt(9)*-6))**2.\nAnswer: 169\/540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 265 minutes before 4:55 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4)\/10 + (-10)\/(-15). What is x in -2\/15*x**3 + 0 - h*x**4 + 0*x + 0*x**2 = 0?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -1508*m - 168875. Give x(-112).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -25 or 9882?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -9.734 plus 720?\nAnswer: 710.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 704896.5 decades in months?\nAnswer: 84587580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -2, 1981 in decreasing order.\nAnswer: 1981, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((sqrt(1100)*-1 + -4)**2 + -2).\nAnswer: 80*sqrt(11) + 1114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 3*u**3 + 2*u**2 + 2*u - 1. Let v = 16 + -14. List the prime factors of r(v).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 99 divide 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 256 minutes before 3:19 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((2*sqrt(130) + sqrt(130))\/sqrt(10) + (4*sqrt(26)\/sqrt(2) - sqrt(13))**2 - (sqrt(104)\/((sqrt(48)*-2)\/sqrt(6)))**2*5).\nAnswer: 18*sqrt(13) + 1209\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 169*q**5\/3 + 52780*q**4\/3 + 328033*q**3\/3 + 187538*q**2 + 50196*q + 3672 = 0.\nAnswer: -306, -3, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*g - 16*g + 105 = 0. Calculate the smallest common multiple of g and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00009216 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 1820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 120790 is divided by 88?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/(f*f**(2\/5)))**25\/(f*f**(3\/5)*f*f**(4\/9)) assuming f is positive.\nAnswer: f**(-587\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 7517 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = -45952 - -111528. What are the prime factors of c?\nAnswer: 2, 7, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v\/v**(-13)))**18 assuming v is positive.\nAnswer: v**(-234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -14\/4995 and 40\/9.\nAnswer: 4995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*q**3 + q**3 - 4*q**3)*((16 - 16 - 8)*(-q - 4*q + 3*q)*(-5 + 0 + 2) - q + 2*q + 0*q).\nAnswer: 423*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3059.\nAnswer: 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.051978 rounded to four decimal places?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*o - 26 + 26)*(-3 - 2 + 3)*(-1 + 0 + 0).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the second derivative of 13\/4*k**5 - 1\/6*k**3 + 1\/6*k**4 - 9*k + 0*k**2 + 0. What are the prime factors of h(1)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 225*h - 63. Let l(a) = 18*a - 5. Let k(v) = -63*l(v) + 5*q(v). Let z(w) be the first derivative of 6*w**3 + 517. Determine k(z(i)).\nAnswer: -162*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/2? (a) -3 (b) -0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -13*r + 10*r - 2, r - 4*p + 6 = 0. Suppose 18*l = -r*l + 360. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 10*v + 6 - 18*v + 5*v + 11*v. Calculate the remainder when w(7) is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*p + 25*p - c = -7, -2*p - 23 = -5*c. Let d = -24 + 13. Does p = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(847)*-2*-4 + sqrt(42)\/(-1*sqrt(24)\/sqrt(4)))**2 - ((sqrt(504)\/sqrt(4))\/sqrt(2) + (sqrt(847) + -1 + (sqrt(847) - 1*sqrt(847)))**2).\nAnswer: 19*sqrt(7) + 52135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 71 + -70.63. Let g = 0.03 + w. Which is the closest to 1\/4? (a) -3 (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3648 + -2199. What is the greatest common divisor of 805 and j?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhbhbbhhhbhbbhhhhhh. Give prob of sequence hbb.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 9\/5 (b) 74 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-84)\/(-35) - 1*3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 785 a factor of 36446765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = -857.83 - -862. Let h = y + -111.57. Let x = 122 + h. What is x rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -364 = 7*l + 1771. Let u = 309 + l. Which is bigger: 62 or u?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*h**5 - 24*h**4 + 32*h**3 + 8*h**2 - 36*h + 16.\nAnswer: 4*(h - 4)*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) 3\/4 (c) 0.3 (d) -1.7 (e) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w**2 + 8*w - 12. Determine b(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -p**4*v**3 - 57*p**3*v**2 + 560*p**3 + 5*p**2*v**3 + 92*v**3 - v**2 wrt p.\nAnswer: -24*p*v**3 - 342*v**2 + 3360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 177074652 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -5651 (base 9) to base 14.\nAnswer: -1745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -29 + 91. Suppose 81*s - 144*s = -189. Let h(g) = -g**2 + 10*g - 8. What is the remainder when b is divided by h(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 946243485 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-11))**16*(m**(-7\/5))**(-47) assuming m is positive.\nAnswer: m**(-551\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that -m**3\/2 + 3051*m**2\/2 - 472623*m\/2 - 2439515\/2 = 0.\nAnswer: -5, 169, 2887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**2 - 2*w + 3. Let i be u(2). Let g(t) = t**3 - 3*t**2 + 6*t - 7. What is the least common multiple of g(i) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.03 (b) -95 (c) 3 (d) 1 (e) 5 (f) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 5, y: 1, u: 3}. What is prob of picking 1 i, 1 u, and 1 y?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence th when two letters picked without replacement from hcjhcitcthohh.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -3*a - 650 + 1292 - 642. Let h(s) = 47*s**2. Calculate b(h(w)).\nAnswer: -141*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**3 + 23*h**2 + 121*h - 358. Give i(27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 91348?\nAnswer: 2, 41, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 54300410 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = z + 3*z - 100, -6 = -3*z. Let q be s - (-1 - -3) - -2. Let x = 45 - q. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4 greater than or equal to -0.8246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 1 b, and 1 f when three letters picked without replacement from fwwtwwnwtxbxxnxfw?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -427 - -356. Let i = q + 334. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggeg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 3*p - 5 = 3*k, -5*k - 2*p + 15 = 0. Suppose -k*z = -z - 244. Let y = -43 + z. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-7 + -1)*(-6 + (-119)\/(-28)). Suppose -6*n + 3*n = 5*t - 25, 4*n = 3*t + z. Factor 4 - 26*o - 2*o - 37 - 4*o**t + 9.\nAnswer: -4*(o + 1)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/(-3)*0 - -5. Suppose -i*v = -16 - 14. Calculate the highest common factor of 60 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 5199 = 52*p - 53*p, 0 = 5*p - 4*a - 26001. List the prime factors of p.\nAnswer: 7, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*z + 36*z - 900 = 0. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 584371, 1168762, 1753149, 2337532?\nAnswer: 2921911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 81596105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*x - 2*x**2 + 6*x**2 + x**3 - 3*x**2 + 2*x**2 to the form q*x**2 + u*x + v + z*x**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -184.068 - -211. Let c = f + -27. What is c rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24095?\nAnswer: 5, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -519 take away 165296123?\nAnswer: -165296642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -2*w + 5. Let u(r) = 1854*r**2 - 8*r + 15. Calculate -u(g) + 3*x(g).\nAnswer: -1854*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 18942.04 millimeters in centimeters?\nAnswer: 1894.204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*(-5 + -3 + sqrt(704) + sqrt(704) + 1*sqrt(704)*-5))**2 + -4)*5.\nAnswer: 7680*sqrt(11) + 127980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.71 and -4430.\nAnswer: -4429.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -4*a**3 + 14*a**2 - 38*a + 16. Let o(w) = 4*w**3 - 15*w**2 + 37*w - 16. Let q(d) = -6*o(d) - 5*t(d). Find m such that q(m) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6494?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 4 * -0.22\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 408201.\nAnswer: 3, 136067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.04? (a) 5 (b) 14 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2 - 174404?\nAnswer: -174402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 912679 divided by -37.\nAnswer: -24667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -744\/1371163 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 2*s + 35. Determine m(11).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in u - 84*u**3 + 13*u**3 + 3*u.\nAnswer: -71*u**3 + 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 - ((-23)\/(-1) - 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11637, -23219, -34801, -46383?\nAnswer: -57965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 429 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 5026, 5024, 5022?\n\"Answer: -2*h + 5028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/(-1292))\/(-22*(-57)\/(-42636))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/(-6)*-3)\/((-23)\/(-46))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 + 1. Suppose 4 = 2*b, -3*s = -0*s + 3*b. What is the closest to z in s, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.021, -2\/9, 3, -212 in descending order.\nAnswer: 3, -0.021, -2\/9, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (((-16)\/(-96))\/(15\/36))\/((-48)\/(-20))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 6 = -3*s, 2*s - 2*g = g + 4. Suppose -s*i + 5*n + 4759 = 0, -2*i - n + 7113 = i. Is i\/28 + 4\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -6 + -10 + -9 + 7?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3375 and 375?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = -3*o + 2*z + 1026, -15 = -5*z. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 - 2 - (4 + -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30401 = -7*z + 30380. Sort z, -4, 0, 1, 2.\nAnswer: -4, z, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 93733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**3 - 3*x**2 - 3*x. Let i(f) = -f**3 + 18*f**2 - 16*f - 18. Let w be i(17). Let o = 3 - w. Let r be u(o). Sort 0, -3, r.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 14652 and 59940.\nAnswer: 659340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the third derivative of 2*r**7\/105 - 29*r**6\/5 - r**5\/15 + 29*r**4 + 2378*r**2. Solve f(y) = 0.\nAnswer: -1, 0, 1, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7*w - 4*w - 4*i + 21, i - 9 = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:06 PM and 1:51 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 3\/10 of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 36 + -33. Let v(u) = -7 + 6*u**2 + 2*u + 5*u**3 + 4 - j*u**3 - u**3. List the prime factors of v(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the third derivative of -a**6\/120 + a**4\/8 + 2*a**3\/3 + 64*a**2 + 3. Determine w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m**2. Suppose -7*k - 8 = -15. Let n(f) = f**2 + f - 2. Suppose 3*u - 2 = 4*u. Let r be u + 0 + 1 + 2. What is k*n(x) + r*w(x)?\nAnswer: 2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4 - 40?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -41\/11060896 and -37\/4345352.\nAnswer: 121669856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2102 - 232. Suppose k - p = -k. What are the prime factors of k?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*2*sqrt(225))\/((sqrt(800) + sqrt(50))\/sqrt(10)) + 5)*-5.\nAnswer: -24*sqrt(5) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*sqrt(165)*-3)\/sqrt(3))\/((sqrt(1215)*3)\/sqrt(3)).\nAnswer: 4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**2 + 1599*s + 2. Let p(h) = -4*h**2 - 9. Determine g(p(u)).\nAnswer: -16*u**4 - 6468*u**2 - 14470","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 6. Let q(o) = -o - 17. What is -3*q(t) - 8*s(t)?\nAnswer: 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -2*g + 3*g - 6 - 6 + 2. Let z be u(14). Let p(j) = -j**3 + 6*j**2 - 5*j + 4. What are the prime factors of p(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 72 and 68634?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -32*r**3 + 2*r**2 + 103*r - 2. Let b(d) = 4*d**3 - d**2 - d. Let m(o) = -2*b(o) - g(o). Find the second derivative of m(y) wrt y.\nAnswer: 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 1\/1225676?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -15*s - 9. Let u be r(-3). Let k(p) = p**2 + 4*p. Let m be k(-4). Suppose -2*g + 2 + 6 = m. Calculate the highest common factor of u and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(98) - (sqrt(98) + -1*sqrt(98)*5) - (sqrt(98) + -2)*2)**2 + 6*(3 + (-4 + sqrt(128) - sqrt(2))**2).\nAnswer: -168*sqrt(2) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -78 (c) 3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 1236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 18, 181, -1, 656, -2, 2 in descending order.\nAnswer: 656, 181, 18, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-636)\/(-14))\/(58\/14 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) be the second derivative of o**5\/20 - o**4\/2 + o**3 + o**2 + 2*o. Let t be -1*(0 + -1) - -4. Calculate the remainder when 19 is divided by f(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in twenty-one halves of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.07285 times -0.2\nAnswer: 0.01457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + ((-1*1*(2*sqrt(1584) + sqrt(1584)))**2 - (((2*sqrt(176))\/sqrt(4))**2 - (sqrt(4400)*-1 + sqrt(4400))**2)*6).\nAnswer: 13198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the first derivative of n**6\/6 - n**4\/4 - 1753*n**3\/3 - 1729*n**2\/2 - 2*n - 9399. Find the second derivative of w(t) wrt t.\nAnswer: 20*t**3 - 6*t - 3506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 20*1\/(-16)*4. List the prime factors of (-1 - k) + 546 + 5.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) be the third derivative of n**7\/490 - n**6\/70 + 3*n**5\/140 + n**2. Determine v so that o(v) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*5*((sqrt(539)*4)**2 + 5 + (-1 + 2 + sqrt(539))**2)*3.\nAnswer: 420*sqrt(11) + 275070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7 - 5. Find the first derivative of 2 - 4*c**g + c - 2*c + c wrt c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 6*x**3 + 5*x**2 + x - 7. Suppose -d = -28 + 26. Let g(f) = 3*f**3 + 2*f**2 - 3. What is d*t(b) - 5*g(b)?\nAnswer: -3*b**3 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y**2 - 7*y + 8. Calculate the lowest common multiple of 2 and v(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -23 - 62?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = 467 + 513. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4681077 and -0.1.\nAnswer: -468107.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2290131821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 3, w: 3}. Give prob of picking 3 n.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 66 and 7491.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((8\/(-48))\/((-1)\/9))\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 104\/10 - (-12 + 16) and 1*88\/20*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = -3*j + 23. Is j greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in 0, 6, -24, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -5\/18 and -46\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -2*k**2 - 22*k + 61. Give y(-18).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/573092 and -77\/642.\nAnswer: 1719276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 2079000 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + (-10 - -14) + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/(-32))\/(6\/8)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 8*b**3*c**2 - 98*b**3*c - 3*b**2*c**3 - 2638*b*c**2 + 4*c**3 wrt b?\nAnswer: 48*b*c**2 - 588*b*c - 6*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -11 - -15. Let x = -1 + q. What is the second derivative of 4*b - b**x + 2*b - 4*b wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 202, 69, -66, -203, -342?\n\"Answer: -m**2 - 130*m + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -0.5 times -1251.41254\nAnswer: 625.70627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence myks when four letters picked without replacement from {x: 4, y: 1, k: 6, s: 3, m: 2, d: 2}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1147*x**2 + 1149*x**2 - 3451*x**2 + 1150*x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2 + 6. Suppose 0*p = 2*p - w. Solve -20 = p*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 30 + -22 + (5 - 2) + (-46 - -3)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 264\/528*5*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w*w*w\/(w\/((w*w**35\/w)\/w*w*w))*w))\/w)**(2\/21) assuming w is positive.\nAnswer: w**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 9352, 17885, 25608, 32521?\n\"Answer: -405*k**2 + 9748*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 439496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/3941 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 709 is divided by (-2 + (-164)\/(-3))\/(490\/735).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 211 - 355. Let p = 286 + n. Suppose 3*h - s = 2*s + 438, h = 3*s + p. What are the prime factors of h?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - y = 4, -10 = 5*i - 0*i - 5*y. Let v be 1 - ((-2)\/i - 1). Which is smaller: 3\/13 or v?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-1 + (3 + -4 + (2*sqrt(847) + sqrt(847) - sqrt(847)))**2).\nAnswer: -88*sqrt(7) + 6776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j**3 + 2*j**2 + 110*j - 254. Give s(0).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 81 a factor of 100521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/(-33)*(-36)\/(-72).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*k**2 + 0*k**2 + 2*k**2)*(5*k**3 - 2*k**3 - k**3) + 4*k**5 + 0*k**5 - 3*k**5 + (-k**3 + k**3 - k**4)*(0*k + 5*k - 4*k).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2\/1899 - -55061\/9495. Let u = w + -31\/5. Let h be 6\/27 + (-26)\/(-18). Which is the third biggest value? (a) u (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1400022 + 4444?\nAnswer: 1410021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -5.6761 - -601.5?\nAnswer: 595.8239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-14)\/35 + 2\/20 and 21*(-1 - (-2 - 100\/(-132))).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.9 and -11560.\nAnswer: -11559.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(187)\/((2*sqrt(110))\/sqrt(10)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30936*z**2 + 6*z**3 - 30936*z**2 + 14.\nAnswer: 6*z**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 + 7*f**2)*(-32 + 3*f**3 + 29 + 119*f**3).\nAnswer: 854*f**5 - 21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*c - 4*c + c)*(0*c + c + c)*(3 + 1 - 2)*(-6 + 9 - 6) + (-3*c + 2*c + 4*c)*(2*c + 0*c - 4*c) to the form i + p*c**2 + t*c and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5\/2*((-19)\/5 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -79 + 82. Solve -4*f = 5*s + 9, 4 = i*s - 7*s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/162*3\/(-1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u**3 - 2861580*u**2 + 165959025*u - 2406344890 = 0. Calculate u.\nAnswer: 29, 572258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -749293753 + 749293753 + 17*j**2.\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 99 = 7*k + 4*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -10 + -48?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + -5 + -1 + -3 + (-22 - -25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -3.95 minus 257.75?\nAnswer: -261.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 21808 and 44649154.\nAnswer: 2726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kvvkklsvvvvkvvkkvvk. What is prob of picking 1 v and 1 l?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in a + 606666011558*a**2 - a - 606666011572*a**2.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -2360 times 35436\nAnswer: -83628960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -8 - 1175*b + 9 - 3 - 2273*b as k*b + a and give k.\nAnswer: -3448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 115000*f**2 - 2*f - 3. Let s be u(-2). Let j be 0 + 2 + -2 + (1 - s). What is j rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 587 minutes before 6:23 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the second derivative of 0 + 3\/4*m**4 - 1\/20*m**5 - 1\/2*m**2 + 4*m - 4\/3*m**3. Let i be 2*(-4 - -13) - 10. Calculate n(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i = -2*i + r + 10, 3*i + 3*r + 12 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*r**2 + 9*r**2 - 9*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -30*t**3 - 8*t**2 + 14*t. Let s(n) = 20*n**3 + 5*n**2 - 9*n. Suppose 4*g = -20, -10*b - g - 45 = -5*b. Give b*s(f) - 5*o(f).\nAnswer: -10*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = -4*h + 8, -5*h - 11 - 10 = -4*g. Calculate the common denominator of 23\/((-1)\/2*-5) and (h + 6\/8)*(81 - -17).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5.25 + -0.25. What is the third smallest value in -0.03, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d + 106 + 2 = 28*b + 2*d, -2*b + 21 = -b + 3*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 8888 and 4664.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.6 in -2, 4, 38, -5, 160?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 2175 by 63102.\nAnswer: 725\/21034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-1674)\/(-372) + 10\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 10*k**2 + 23*k**2 + 82*k**3 - 172*k**3 + 85*k**3 as d*k**3 + p + s*k + m*k**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Are -951021 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -139\/576 and 35\/384.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 212*r**4 - 25604*r**3 + 455504*r**2 + 1724976*r + 366912 = 0. Calculate r.\nAnswer: -3, -12\/53, 26, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 936785.6g?\nAnswer: 936785600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*x + 14*x = -4*y + 5, 4*x + 4*y + 4 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -27284.2 + 31058. Let o = -4153 + h. What is o rounded to the nearest 10?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) 40 (c) -0.4 (d) 322.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -53118 or -3\/13?\nAnswer: -53118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-25)*(s**(-13)\/s)\/s assuming s is positive.\nAnswer: s**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 18.189 centuries to millennia.\nAnswer: 1.8189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 535 minutes after 9:46 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + l + 2*l + 120 = 0, -570 = -5*o + 5*l. List the prime factors of o.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*z + 1274 = r + 1254, 0 = 2*r + 3*z + 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0238105076 rounded to 5 dps?\nAnswer: -0.02381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.004771696844 to 4 decimal places.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = 653751026\/301 - 2171934. Let k = -457817\/328133 - 1\/7631. Let j = k - l. Find the common denominator of j and 44\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/18 - 75\/(-54))*-6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is x in 6*x**2\/7 + 8586*x\/7 - 43080\/7 = 0?\nAnswer: -1436, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 2125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -19 - -61. Let f = k - -32. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 2*c - 2. Let k be r(7). Let i be 3\/k - 1\/(-28). Sort 1\/10, 1, i.\nAnswer: 1\/10, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = 19*k - 204402 - 63870. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 20, 2097 in decreasing order.\nAnswer: 2097, 20, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 37\/2 of a decade in years?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000307298 rounded to 7 decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5.2 + 0.2. Let x = z + 9. Suppose 0 = b - 4*r + 5 + 4, r = 3. Put 5, b, x in decreasing order.\nAnswer: 5, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 726978487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 9285.075 millennia in decades?\nAnswer: 928507.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 105*s - 150. Let r(u) = -1. Let m(c) = -2*f(c) + 14*r(c). What is the first derivative of m(l) wrt l?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 - (-2 + 8 + -18 + 18)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 8806443, 4.\nAnswer: 3, 4, 8806443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (((-630)\/(-24))\/(-7))\/(522\/(-696))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13616 is divided by 1606?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 117\/770 - 1\/110. What is the third biggest value in 7, f, -2\/9, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -21110 (base 4) to base 3\nAnswer: -211002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzhrzezzcezez. Give prob of picking 3 z and 1 c.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**3 - 17*w**2 - 26*w + 63. Let d be x(-15). Let n be (-6)\/(-2)*1 - 0. Let o(u) = -n + 0*u - 9*u - d*u + 6*u. What is o(3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8155*m = -8145*m - 360. What is the highest common factor of m and 894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -826 divided by -358.\nAnswer: 413\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 6*b**2 + 9*b + 27. Determine x(-5).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be 12\/792 + 2\/12. Let m = 4.05 + -0.05. Which is the third biggest value? (a) j (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*-5*((sqrt(540)\/(sqrt(96)\/(sqrt(8) - sqrt(72))))\/(-2*(-2*sqrt(108) - sqrt(108))\/sqrt(12)) + -4).\nAnswer: 20*sqrt(5)\/3 + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 1, z: 2, r: 4, p: 4, w: 5, y: 4}. What is prob of picking 1 y, 1 r, and 1 w?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**3 - h**2 + 3*h - 3. Let f be q(-3). Solve f*k - k - 25 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the second derivative of -g**11\/5544 + g**7\/420 - g**4\/4 + 25*g. Let a(j) be the third derivative of c(j). Find the third derivative of a(h) wrt h.\nAnswer: -1200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00002556 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7 - -21) + (-10 - 5) - 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -65, -2 in ascending order.\nAnswer: -65, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 15*t**2 - 51*t**2 - 8*t**2. Let k(m) = m**2 - 3*m + 9. Let d(j) = -5*j**2 - 15 + 33*j - 28*j + 3*j**2. Let f(b) = 3*d(b) + 5*k(b). Calculate s(f(v)).\nAnswer: -44*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(275) + -6*(sqrt(275) + 2) + (4*-2*sqrt(55))\/sqrt(5))**2.\nAnswer: 792*sqrt(11) + 12123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be -35*(-6)\/(-51) + (-2)\/(-17). Put 0.2, 0.1, w, 34\/27 in decreasing order.\nAnswer: 34\/27, 0.2, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4581 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*s - 3*w - 12 + 24, -5*s - 13 = -2*w. Let n = 15 + -23. Put n, 5, 2, s in ascending order.\nAnswer: n, s, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*x**4 - 2*x**4 + 0*x**4 + (0 - x**2 + 0)*(2 + 2*x**2 - 2).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1195.18 - -1169. Let l = h - -26. Let g = l + 0.17886. What is g rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 86 - -174. What is the greatest common divisor of c and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2741 - 2740. Let h(d) = 2*d - 27. Let q(s) = -s + 1. Give i*h(c) + q(c).\nAnswer: c - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 76668 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 40 or 121\/3?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*3*sqrt(117) - ((5 + sqrt(637))**2 + 4))*-1.\nAnswer: 79*sqrt(13) + 666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is c in 20*c**4 + 8*c**3 - 20*c**2 - 8*c = 0?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -83*p**2 - 9*p - 2. Let w(k) = -k**2 + 3*k + 1. What is -m(q) - 3*w(q)?\nAnswer: 86*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 103261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 22 - 9 - 11 - a**2 + 2*a**2 to d*a**2 + c + x*a and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1579981 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(60) - -6*1*sqrt(60))*-1)\/(2*((1*sqrt(12) - sqrt(12))*-4 - (sqrt(96)\/sqrt(2) + sqrt(48)))).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17333 + 17345 - 315*a - 34678.\nAnswer: -315*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5020025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(0 + (sqrt(500) + 4 - sqrt(500)) + 5 - 2*(2 + sqrt(405))**2*-5).\nAnswer: 1800*sqrt(5) + 20495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1892 + 958 + 934 + 17*d.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5323 - 5313. Solve 268 = q*c + 298 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*i = -i + 24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 4138.4 to the nearest 10.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-2\/19)\/q**1*q**(5\/3)*q*q**(-1\/6)*q*q*((q\/(q**(2\/19)\/q))\/q*q**4)\/(q**(-8\/7)*q\/(q\/(q*(q\/((q**(-1\/9)\/q)\/q))\/q))) assuming q is positive.\nAnswer: q**(15133\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (-808)\/168 - (-29)\/203\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -719817 divided by -365?\nAnswer: 719817\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:30 PM and 10:55 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Do -1.3 and -4.19828 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4431 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 2499, 9244, 19517, 32526, 47479, 63584, 80049?\n\"Answer: -132*k**3 + 2556*k**2 + k + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 40480 = 4*s, -98*h = -5*s - 99*h + 50632. Is s a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the second derivative of -u**4\/12 + 4*u**3\/3 - 2*u**2 - 2*u. Let s be c(4). Solve s = 4*p - p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -4 (b) -2007\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -h**3 + 6*h**3 - 4*h**3 - 19 - 38 + 2*h**2 wrt h?\nAnswer: 3*h**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 9 - -40. Let h = 65 - t. Suppose 3*o - 2 = h. What is the lowest common multiple of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 47146 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:58 PM and 2:25 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-12)\/(-90) - 146\/(-30). Suppose -3*x + 2*m - 50 + 155 = 0, -84 = -3*x - v*m. Suppose x = 2*j + 9*j. Solve 3*w = -j*a + 15, -w - 3 = 5*a - 3*w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -8.1 * 0.96.\nAnswer: -7.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11 - -5. Let k(x) = -x**2 - 5*x + 5. Let t be k(f). Let l = 1 - 1. Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 35 - 16. Does 19 = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -2*d**2 - 15*d - 7. Let c be v(-7). Suppose c = -2*b - 2*z + 12, b = 3*z + 2*z + 24. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 5*((-2)\/4)\/((-5)\/230). Round g to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) be the first derivative of 5*u**6\/2 + 8*u**2 - 11. What is the second derivative of g(w) wrt w?\nAnswer: 300*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2102 (base 6) to base 14\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) be the third derivative of -a**5\/20 - 7*a**4\/8 + 9*a**3 + a**2 + 90*a. Factor x(k).\nAnswer: -3*(k - 2)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 - 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the first derivative of -p**3\/3 - 5*p**2\/2 - 3*p - 7. Let i be u(-4). Which is smaller: -4\/11 or i?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12640 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + -1 + (-8 - (0 - 10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together -3.8 and -300.\nAnswer: -303.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 32824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 13 + 1. Let r be 6\/21 + 94\/k + -2. Suppose 3*c + 48 = r*u - 0*u, -5*u + 5*c + 50 = 0. Solve -u = -4*a - 3*d, -5*a - d - d + 13 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 150 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000000898 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 38422 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 43*j**5 - 5*j**3 + 41*j**2 + 5*j. Let b(t) = 43*t**5 - 4*t**3 + 41*t**2 + 4*t. Let q(g) = -5*b(g) + 4*m(g). Find the third derivative of q(w) wrt w.\nAnswer: -2580*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 211 - 1 = 30*i. Is -2 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = m**3 - 10*m**2 + m + 6. Let l be n(10). Let v = -112 - -138. Let d = v + l. What is the remainder when d is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -210 (base 12) to base 8\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 55779799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 50 divide 370561450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -36, -8.\nAnswer: -36, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -2213 (base 9) to base 13.\nAnswer: -987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 2, r: 3, i: 5}. What is prob of picking 1 c and 1 i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vgig when four letters picked without replacement from {i: 2, g: 2, b: 3, t: 4, v: 2}?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -20*a. Let g(t) = -362*t**2 - 4. Determine l(g(s)).\nAnswer: 7240*s**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**2 - 2*c - 7. Give i(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -159910 (base 10) in base 2?\nAnswer: -100111000010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Suppose 357*v + 3*n = 361*v - 2995, -4*n = 2*v - 1470. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -q**3 - q - 3. Let d be -9*2\/(-12)*-2. Let h be a(d). Factor u**4 - u**2 + 27 - h.\nAnswer: u**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = -2*f. Let t = 5 + f. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3683*m - 16492 = -7215*m + 3749*m for m.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the second derivative of 1\/20*m**5 - 6*m**2 + 11*m - 5\/6*m**3 + 0 + 7\/12*m**4. Is c(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(12\/13))\/(b**(-27)*b) assuming b is positive.\nAnswer: b**(363\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 124880220 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-2)\/v)\/v**(-4\/11)*v\/(v*v*v*v\/(v*v**(-4))*v)*v**(-3\/8))\/((v*v**(1\/3))**(-42)*v*v**(-2\/3)*v*v\/(v*v**(-4))) assuming v is positive.\nAnswer: v**(10733\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 11 minutes before 2:48 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16\/40*80\/(-56).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 + 4 - 2)*(0 + 1 + 1) + 3 + 0 - 1)*(-2*w**3 + 5*w**3 - w**3) + 101*w**3 - 86*w**3 + 264*w**3.\nAnswer: 291*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -26757, -192961, -644081, -1522575, -2970901, -5131517, -8146881, -12159451?\n\"Answer: -23743*k**3 - 3*k - 3011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8116, 8115, 8104, 8077, 8028, 7951, 7840?\nAnswer: 7689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:53 PM and 11:53 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 304 < -20733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 131 + 178*k + 189*k - 130 to the form x + f*k and give f.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*t = -61*t + 3168 + 3036. What is the smallest common multiple of 352 and t?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = i - 288961, -3*i + 8082 = -2*x + 297031. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f be (-10)\/(-4)*(1 + 3)*166. What is f rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.856287 years to months.\nAnswer: 58.275444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2354 is divided by 792.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -45449 to the nearest 1000.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -u**4 + 2*u**4 - 2*u**4 + (2*u**2 + 3 - 3)*(10 + 11*u**2 - 10) to g*u**3 + o + d*u**2 + f*u**4 + z*u and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*b + i + 8575, 21460 = 5*b - 3*i + 5*i. Suppose m + 12*m - b = 0. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1.99 (b) -0.3 (c) 175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**4\/2 - q**3 + q + 1\/2.\nAnswer: -(q - 1)*(q + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 989*v + 85117. What is u(-86)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14, -52, -100, -128, -106, -4?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -1010011 (base 2) to base 10.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**2\/3 - 966623*q\/6 + 80552.\nAnswer: -(q + 483312)*(2*q - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1996951 to the nearest integer?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/24*(-9)\/((-765)\/(-272)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -206*j - 5158. Calculate t(-25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(2\/29)\/(s*s*s\/(s\/(s*s*(s*s**(-2\/5)*s*s*s)\/s*s))))**(-9\/10)\/(((s*s*s\/(s\/s**(-1\/5)*s))\/s**(-1\/6))\/(s**(2\/7))**(1\/8)) assuming s is positive.\nAnswer: s**(356081\/60900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(11) - (sqrt(110) + sqrt(110)*3)\/sqrt(10) - (sqrt(176) + -2).\nAnswer: -7*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14, -52, -142, -308, -574?\nAnswer: -964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -2*j**3 - j**2 - j + 2. Let n be z(1). Let m be (-414)\/402 + (-2)\/n. Let g = 218 - 218. Which is smaller: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 376 minutes before 3:27 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 2*b + 2. Let p be g(6). Let h = -7 + 11. Suppose h*t = -0*t + 8. What is the greatest common factor of p and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 67\/25494 and 19\/8?\nAnswer: 101976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1554?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 2*p + 46. Let b = 13 + -10. Suppose 15 = b*n, n + 23 = d + 4*n. Calculate the remainder when d is divided by c(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes after 8:51 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.97627 + -0.04847. Round n to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.6 and 2340.62.\nAnswer: 1404.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 32, -5, -1, 85, 4 in decreasing order.\nAnswer: 85, 32, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = 6*c + 30 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**2 + 8*v + 9. Suppose 5*s - 10 = 0, -s - 2*s - 22 = 4*r. Let a be f(r). Solve -a*b - 2 = -0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the second derivative of -3*m + 0*m**2 + 1\/6*m**3 - 4. Give y(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9097, -9092, -9083, -9070, -9053, -9032, -9007?\nAnswer: -8978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 12*s. Let g(z) = 1 + 4 - 5 + 2*z. Give m(g(p)).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 334*q**4 - 11*q**2 + 4*q**2 + 238*q**4 + 5*q**2 + 2*q**3 - 204*q**4 to r*q**4 + k + p*q**2 + l*q + y*q**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -2867*-110021\nAnswer: 315430207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 4*f**3 + 11*f**2 - 24*f + 10. Let h(c) = 3*c**3 + 6*c**2 - 12*c + 5. What is 11*h(r) - 6*z(r)?\nAnswer: 9*r**3 + 12*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*h + 15 - 39. Suppose -5*m + 208 = h*j + 75, -4*m - 5*j = -103. Solve 2*z + 2*l + m = -3*z, -2*z = 5*l + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19*-15512.33.\nAnswer: 294734.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/67, -9, 14 in descending order.\nAnswer: 14, -2\/67, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -p**4 + p**4 + 3*p**4 + (3*p - p**3 - 3*p)*(48 + 46 + 2*p - 45) in the form q*p + z + o*p**3 + t*p**4 + m*p**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 13 and 118781.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -1 + (-67 - -9) + -17 + 22 + -16\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1427132141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*t - 432*t**3 + 3*t - 994*t**3 - 2*t + 4*t to the form l + d*t + h*t**3 + q*t**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -2*o + 5*o - 3 - 2*o. Let y(r) = -2*r**2 - 28*r + 4. Let u be y(-14). Calculate i(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18890 is divided by 4722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from ctoalwt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.27, 1, -2\/251, 0.028?\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -4783.24 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 13.8 - 14. Let v = 15178 + -15180. Which is the smallest value? (a) 54 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 207*y - 3395 = 1611 + 4930 for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1147 + -1146.999983215. What is z rounded to 7 decimal places?\nAnswer: 0.0000168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 4*x + 98 = 0, 3*n = x - 8 - 125. Let o = n + 44. Let t(g) = 7*g + 1. Give t(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 49551 divided by -16517\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 34549814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (sqrt(320) - -4*(1 + sqrt(320))**2) + sqrt(320) - ((sqrt(40) + sqrt(360)*1)\/(-4*sqrt(72)))**2)*6 + 5.\nAnswer: 480*sqrt(5) + 23027\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3613, -3614, -3615?\nAnswer: -3616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -496 - 172?\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 15205 = 4437*a + 1264*a - 429473 for a.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 5, g: 3, j: 2, e: 1, w: 1, f: 3}. Give prob of sequence fvev.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.018947 rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -n**3 - 5*n**2 + 13*n - 13. Suppose 0 = 17*c - 3148 + 768. Suppose -26*w + c = -46*w. What is z(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5671377 is divided by 689?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4\/(-26) - -2*1148\/52 is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y**2 - 18*y + 44. Is 44 a factor of m(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 923937.4l in millilitres?\nAnswer: 923937400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 38877 - 38871. Let r(m) = -2*m**2 - 10*m + 91. Calculate r(o).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/5*(0 + 75). Let q be (-972)\/(-27)*1\/(-3)*-5. What is the highest common divisor of s and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = -s. Suppose -168 = -94*l + 53*l + 20*l. Solve -p - 3*v + l*v + 8 = s, 1 = -v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4417701 - -4417866.00524. Let f = x - 165. Round f to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(2\/11)*s\/s**(1\/9)*(s*(s**(1\/5)*s)\/s*s)**(-2\/75) assuming s is positive.\nAnswer: s**(12524\/12375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-12)\/9)\/(679\/(-291)))\/(-10*(-105)\/98)?\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l**2 + 2*l - 2. Let k(m) = 6*m**2 + 13*m - 13. Let x(t) = t**2 + 9*t - 31. Let a be x(-14). Let b be 40\/(-7) + 2\/(-7). What is a*y(g) + b*k(g)?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -239 (base 12) to base 2.\nAnswer: -101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l + 11. Let b be r(7). Let n(a) = a**3 + 4*a**2 + 3*a**3 + 4*a - a**3 + b*a**3 - 4. Let w(q) = -8*q**3 - 5*q**2 - 5*q + 5. Give 5*n(d) + 4*w(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (552\/3542)\/((50\/(-35))\/(-5)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3\/(-9)*(0 + -3). Let s = 2 + 0. Let n be (s + 0)*14\/4. Calculate the highest common factor of n and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 4\/75 of a day?\nAnswer: 4608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-810)\/(-450)*(28\/(-12) + 4). Let h(r) be the third derivative of 32*r**2 + 0*r + 0 - 1\/200*r**6 + 9\/100*r**5 - 27\/40*r**4 + 27\/10*r**q. Factor h(t).\nAnswer: -3*(t - 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -13381\/51 - -262. Find the common denominator of w and 113\/6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -131348 + -3?\nAnswer: -13134b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-27)\/18)\/(1\/(-2)). Suppose 4*v - 5*w = 16 + 43, -2*v + 27 = -c*w. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 2*u. Let l be z(-8). Let h = l - -12. What is the smallest common multiple of 12 and 71\/4 - h\/16?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, v: 1, g: 1, l: 1, w: 4}. What is prob of picking 1 l, 1 o, and 1 v?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -199*x - 77*x - 31*x - 70*x to m + u*x and give u.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 3158895 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/59? (a) -3\/5 (b) -4 (c) -0.019 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -20.01 - -2.\nAnswer: -18.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29732*d**3 - 14863*d**3 - 14868*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes after 10:53 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -42 + -531747?\nAnswer: -531800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2 - 0 - (6 - 3). Calculate the common denominator of -113\/50 and (5440\/(-225))\/8 - (0 + f).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -9*r + 21. Let h(w) = 14*w - 98. Let y be h(8). Suppose -6*p - y*p - 420 = 0. Let a(d) = -d + 2. Give p*a(c) + 2*f(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7\/9*7470\/14525)\/(4\/800)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2600 and 650.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 322384891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5.3 - -5.1. Let t = 1 + 0. Let v = -2 + t. What is the third biggest value in v, 0.1, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-14))\/(3\/(-7)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -104144 (base 5) in base 8?\nAnswer: -7132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s + 0*s + 0*s)*(3*s**3 + 0*s**3 + 0*s**3) - 3*s + 3*s + 9*s**4 + (0*s + 0*s - s**3)*(-s - 3*s + 3*s) - s**4 + 2*s**2 - 2*s**2.\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1572260?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -4*u - 5*h + 20, u - 5*h + 19 = 0. Which is the smallest value? (a) u (b) -1 (c) 0.1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 49, 89, 131, 175, 221, 269?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 14038322 to the nearest integer?\nAnswer: 3747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 412607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w**9)\/w**(-6)*(w**(-1\/2))**(3\/5))\/((w\/(w**0\/w*w))**(-41\/3)\/(w**(1\/3)*w\/(w\/w**(3\/4)))) assuming w is positive.\nAnswer: w**(609\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18\/(-81))\/((-1400)\/(-300)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5151 + 5178. Calculate the remainder when n is divided by (0 - 1)*-16 + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -2*j**2 + 4*j - 1. Let b be y(3). Suppose 2*c = 4*o + 10 + 10, o - 5*c - 4 = 0. Calculate the common denominator of -31\/2 and (((-6)\/b)\/o)\/(8\/(-86)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 7 and -291.602.\nAnswer: -2041.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 3*c + 3 = -3, -o - 3*c = 0. What is the lowest common multiple of 5\/(-2)*(592\/(-40) - -12) and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 110 = -5*d, 59 = 4*d - 12*r + 7*r. Suppose -d*j + 17*j = -60. Solve 5*b + j + 3 = -2*p, -b - 8 = -4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -9*f + 6. Let a(w) = -9*w + 5. Let t(q) = 5*a(q) - 4*r(q). Suppose 11*c - 10*c - 1 = 0. Give t(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.15, 5, -179, 0.1 in descending order.\nAnswer: 5, 0.1, -0.15, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 7 + 56 = 0. Let f(g) = g**3 + 24*g**2 + 17*g - 7. Is f(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = g**3 + 18*g**2 - 19*g. Suppose -2*v = 2*v + 20, v - 29 = 2*b. Let i = b + -2. Let r be s(i). Solve -y - 4*f + 12 = r, 5*y + 3*f - 26 = -0*f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -6*o - 4. Let b be n(-3). Let j(k) = -k**2. Let z(r) = -r**5 + 5*r**2. Let u(t) = b*j(t) + 2*z(t). Find the third derivative of u(d) wrt d.\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -179995*u + 178609*u - 55440 for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.031, -7\/3, -613, -1?\nAnswer: -613","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is (3\/9 + (0 - 1))\/((-66)\/42226173) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -88, -123, -158, -193, -228?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 - -251.3018.\nAnswer: 251.7018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 364177609 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5*s**3 - 81182*s**2 + 1046117*s wrt s?\nAnswer: -30*s - 162364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -732007598 divided by 104572514\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*g = -o - 74, 16 = g - 8*o + 4*o for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 112345 (base 9) to base 10\nAnswer: 67352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3, 3\/2, -17\/5, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1, -1\/73, -1\/3, -2, 0.09, -20?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be (3 + -4)\/((-3)\/(-45)). Let a be r\/(-4) - (-3)\/(-4). Let m(u) = u**3 - 4*u**2 + 5*u - 4. Let o be m(3). Solve -2*d + 1 = o*b + a, -d + 1 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a and 2 k when four letters picked without replacement from aafbpfkpabbbppppb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be (6 + -7)\/((-4)\/1712*-4). Let b be 3\/3 - 425\/4. Let z = b - c. Is -0.2 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*h + 6 = -13*h. Suppose 4*k + t + h = 0, 0*k - 4*t - 8 = 4*k. Sort k, 1, 6 in decreasing order.\nAnswer: 6, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -53*z = -74 - 85 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -25 + 155*p + 77 + 34. Let f(i) = 309*i + 175. Let y(l) = 6*f(l) - 13*v(l). Find the first derivative of y(q) wrt q.\nAnswer: -161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k\/(k*k**0*k)))\/k**(1\/33))**(17\/3) assuming k is positive.\nAnswer: k**(1105\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) 14 (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 392 a factor of 918848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 15034830 and 1175.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = l - 5*l + 10, 3*h = 4*l + 2. Let v be ((-27)\/6)\/(h\/8). Let j(o) = o - 1. Let i be j(7). Calculate the greatest common divisor of v and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 809?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (sqrt(81)\/(sqrt(27)\/(sqrt(75) + sqrt(3) - sqrt(3))))\/(sqrt(363) + 5*-2*sqrt(363) + sqrt(363)))*2.\nAnswer: -4 - 5*sqrt(3)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**3 - 10*c**2 - 9*c - 3. Let p be j(-9). Let o be (4 - 1)\/(p\/(-2)). Solve -r + 16 = -o*q + 3*r, 0 = -4*r + 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 7*q**3 - 5*q**2 - 6*q. Let b be (-96)\/(-15) - (-4)\/(-10). Let m(c) = c**3 - c**2 - c. Let s(a) = b*m(a) - p(a). Let s(t) = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 2*a**2 - 14*a - 3. Let n(j) = j**2 - j - 1. Let r(t) = -h(t) + 3*n(t). Let z(l) = -2*l**2. Calculate r(z(u)).\nAnswer: 4*u**4 - 22*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 504 and 2395554?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 53219928 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.008, 0.2, -1, 32 in decreasing order.\nAnswer: 32, 0.2, 0.008, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -27\/88 and 89\/1232.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the first derivative of 19*b**2\/2 - 11*b - 2761. Give p(3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-1\/11)*t)\/t**10)**31*(t\/(t**(2\/7)*t))**30\/(t*t**(1\/3)\/t)**(2\/177) assuming t is positive.\nAnswer: t**(-11873314\/40887)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = -923 - -930. Solve -60 = -5*b - m*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.65 + -2.65. Let d be -1*3\/(-6)*-12. Let p(x) = 2*x + 9. Let f be p(d). Which is the closest to -0.1? (a) f (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 3) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15367008?\nAnswer: 2, 3, 160073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 421, 718, 1013, 1306?\n\"Answer: -r**2 + 300*r + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 244727 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: Expand (-7*b + b**2 + 7*b)*(-2*b**2 - 2*b**2 + 6*b**2) + 15 + 175*b**4 - 15.\nAnswer: 177*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2915352 and 34012440?\nAnswer: 102037320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2814 and 536.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 293808 = 24*x + 3288. List the prime factors of x.\nAnswer: 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4 - (-7 + 1 - -3)) + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**2 + 28248*s + 1323238.\nAnswer: 2*(s + 47)*(s + 14077)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 96951 is divided by 48324.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4\/(-14) - 30\/(-7). Suppose -8*x + d*x = 0. Suppose x = -3*c + 6*c - 12. Sort c, 6, 2 in descending order.\nAnswer: 6, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -5 + 1 - 257*t + 4 + 252*t. Let y(c) = 205*c**2. Calculate n(y(x)).\nAnswer: -1025*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-1225)\/4488 + (-24 - (-3280)\/136) and -83\/312?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cckh when four letters picked without replacement from {c: 2, g: 1, v: 1, h: 2, k: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -516*c + 513*c = -4*k + 8, -4*k - 20 = 4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-90)\/(-50))\/(3\/10). Let p = -12 - -27. Solve -3*z - p = -m*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -3*f. Let w(n) be the second derivative of -n**5\/30 - 14*n**3\/3 - 15*n. Let s(q) be the second derivative of w(q). Calculate s(k(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (63\/(-1456)*-8)\/((-18)\/(-12)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 147033*v + 492*v**2 - 147033*v.\nAnswer: 492*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Do 262552 and 262556 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -1, -45, 4 in descending order.\nAnswer: 4, -1, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -21008 - 2*y**3 - 3*y**3 + 2*y**3 + 21007 - 419*y as h*y**2 + b + d*y**3 + o*y and give o.\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -m**4\/4 + 2261*m**3\/2 + 82260*m**2 + 1981152*m + 15876864 = 0.\nAnswer: -24, 4594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 84 and 144?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -19284, -19283, -19282, -19281, -19280, -19279?\n\"Answer: c - 19285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11210110 - 202000?\nAnswer: -12112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 267706583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 124088 * 5\nAnswer: 620440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 59 minutes after 10:24 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3298*r**2 - 1649*r**2 - 1646*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 116*s = 119*s + 3*m - 15, -3*s + 2*m = -10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0089762 to five decimal places.\nAnswer: -0.00898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 192*d + 10. Let a(c) = 102*c + 0 + 5 - 2 - 38*c. Let g(j) = -7*a(j) + 2*u(j). Is g(-1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1129*p - 9961 - 20985 + 9495 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -4*s + 14, 4*s + 3*k - 18 = 5*k. Suppose 0 = s*u - 15 - 29. Let c = u + -5. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = g + 1. Let v(d) = 6*d + 8. Let n(s) = -2*s - 10. Let b be n(-6). Suppose 11*t - 42*t - 434 = 0. Determine b*v(m) + t*x(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5 - -5. Suppose k = -4*m + 6*m + 4. Let u = 6 + m. Which is the closest to u? (a) 5 (b) 0 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**2 + 6*t - 1. Calculate p(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -178166*a**3 + 2*a**2 - 66*a + 77 wrt a.\nAnswer: -1068996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m and 2 p when four letters picked without replacement from {m: 3, p: 8}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = -2*b - 3*u + 5*u, -5*u + 68 = 2*b. Suppose -b = -4*o + 12. Let t(p) = -49*p + 1. Let y be t(-2). What is the highest common divisor of o and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = 3*x + 7 - 13, 4*q - 2*x + 12 = 0. Calculate the smallest common multiple of q + 1 + 1 + 7 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.328916 litres in millilitres?\nAnswer: 3328.916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.08? (a) 0 (b) -2\/3 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*w**2 + 2*w - 352813 - 2*w**3 + 352765 - 3*w - 2*w**4 to x*w**4 + j*w**2 + g + y*w**3 + m*w and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4 - 1) + (8 - -2). Let x = -2 + 4. Calculate the greatest common divisor of q and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 2 p when three letters picked without replacement from wpwwpppwppppwppwwww.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s + 127*y = 125*y - 15, 4*s + 22 = -3*y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7 + -7. Let r = n + 1. What is the closest to r in 4, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 1891*r - 20955. Give p(11).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 110595 by -5.\nAnswer: -22119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 264 minutes after 5:40 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (t**2 + 5*t**2 - 4*t**2)*(-4*t**3 + 7*t**3 + 17*t**3).\nAnswer: 40*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*x = 21*x - 22. Calculate the smallest common multiple of 16 and x.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 136922 and 892?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -22110 (base 3) to base 14\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 45\/(-25) - (-11)\/(22\/4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -95, -94, -93, -92, -91?\n\"Answer: m - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -9*k + 11. Let y(q) be the first derivative of 5*q**2\/2 - 6*q - 6. Calculate 6*x(s) + 11*y(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 16837552 and 656?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 72477, 315113, 719507, 1285659, 2013569, 2903237?\nAnswer: 3954663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wyff when four letters picked without replacement from wwffywffy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aap when three letters picked without replacement from papaaaappppa.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5.6 + -10. Let i = -8.4 - l. Do 1 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-19)\/((-190)\/(-60)) - -408 is divided by 84.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 26528?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f + 56 = 5*a - 0*a, a + 506 - 242 = 6*f + 264 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*d**3*y**3 - 251*d**3*y - 93*d**2*y**3 - d*y**2 wrt y.\nAnswer: -24*d**3 - 558*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand j - 49 + 49 + (2 + 0 + 0)*(-j - 5*j + 3*j) - 1 + 1 + j + (-2 - 3 + 6)*(-j - 4*j + 6*j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 59260000 rounded to the nearest one million?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 0*p - 4*p - 3024 = 0, 0 = p - 3. Suppose 5*q + q - v = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2064993 is divided by 27169.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -164*d + 107*d + 77*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p**(-3\/2)\/p))**(2\/39))**(-2\/79)*(p*p**1)**(1\/73)*(p\/p**7)\/((p\/(p\/(p**6\/p)*p*p))\/p) assuming p is positive.\nAnswer: p**(-1794164\/224913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 2 = t + 5, o - 6 = -5*t. Let r be 9\/((-45)\/(-10))*o. Put r, 8, -4, 0.4 in decreasing order.\nAnswer: 8, r, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 3*y**2 + 29*y + 10. Let a be b(-8). Let t = a - -87. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -2 (b) 1 (c) 2 (d) -61\/4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -119094 - 62?\nAnswer: -119156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -0.4 (b) -6 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 - 3 - 8)*(5*i**2 - 2*i**2 - i**2) + 32*i**2 + 26*i**2 - 19*i**2 in the form q*i**2 + y*i + l and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2106316 + p + 2106316 + 2*p**2.\nAnswer: 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1010257629.\nAnswer: 3, 113, 349, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 9 divided by -15\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3118, -6238, -9358, -12478?\nAnswer: -15598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 63627833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -20212222101002002 + -2?\nAnswer: -20212222101002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -a24 (base 12) to base 7.\nAnswer: -4165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7.4 + -7. Let s be (-8)\/(-2 - 39\/(-18)). Let b be 40\/70 + 1 + s\/35. Sort b, -5, z.\nAnswer: -5, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve b**3\/2 + 55*b**2\/2 + 27*b = 0.\nAnswer: -54, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 9*p - 39. Calculate g(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6425\/42 - -153. Let n(t) be the second derivative of -d*t**4 - 8\/21*t**3 - 16\/7*t**2 + 0 + 2*t. Determine s so that n(s) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j + 12. Let o be k(-10). Let g = 0 - -4. Is o less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24772 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = -22 + 22. Let l = -3 - -5. Suppose -r = -2*j + 23 - 4, a = l*j - 3*r - 25. What is the remainder when 38 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 12*c**2 + 1994*c - 1008. Give i(-165).\nAnswer: -3318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 61, 1, 9 in descending order.\nAnswer: 61, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.1 - -0.2. Suppose m = 5, u + 2*m = 5 + 10. Let o be 1\/(-2) - 9\/36. Which is the nearest to o? (a) l (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13488720 at most as big as 13488719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 483 = -0*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1259571*h*l**2 + 25*h*l + 5*l**2 + 6*l - 1424129 wrt h?\nAnswer: -1259571*l**2 + 25*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 42 + -36. Suppose 2*g - k = -4*g. What is the derivative of 25*m - 3 + g - 4 - 9 wrt m?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ghs when three letters picked without replacement from {s: 2, t: 2, h: 1, g: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-1)\/(-1))\/(3\/9). Suppose -4 = 5*z - p*z. Let n(d) = -d**2 - 4*d - 2. What is n(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 14 + -2. Let m be (-1)\/2*n\/15. Is -1 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7072367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*i - 176 + 64. Suppose -m = 4*m - 10. Let d be 3\/(-6) - 9\/(-18). Solve -4*w + a + 7 = d, -m*w + 3*a = 3*w - i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r**2 + 6*r + 5. Let z = -16 - -11. Let n be u(z). Which is the second biggest value? (a) -1\/4 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*u**3 - 35*u - 9*u**2 + 16*u**2 - 102*u.\nAnswer: -7*u**3 + 7*u**2 - 137*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -4.25950447 less than 9?\nAnswer: 13.25950447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -6 (b) 2 (c) 4 (d) -7 (e) 3\/7 (f) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 100*h - 12479 + 11679 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 16 + 344071?\nAnswer: 344087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-3)\/(-5) - (-295)\/100 and -87\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is b77 + -2a1?\nAnswer: 8b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*s**5 - 2*s**5 + 4*s**5 + s**5 + 2*s**5 - 2*s**5 + (0 + 2 - 1)*(s + 2*s**5 - s) + 3*s**5 - 4*s**4 + 4*s**4.\nAnswer: 4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (x**2 - 5*x**2 + 3*x**2 + 2*x + (-2 + 1 - 2)*(x**2 - 4*x + 4*x))*(x**2 + 5*x**2 + 0*x**2).\nAnswer: -24*x**4 + 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -9 + ((2 - 8) + 43 + -28 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-612)\/6273*(1\/4)\/(-1)*-2.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-322)\/(-2))\/((12 - 5)\/7). Let d be ((-8)\/16)\/((-1)\/92). Calculate the greatest common factor of b and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 362851646 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-72)\/180)\/(2\/(-3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 789 divide 5738397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 233 is divided by 134.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -51\/14305 and 67\/160.\nAnswer: 457760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 136589?\nAnswer: 137, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 40633323 and 774?\nAnswer: 243799938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000046135 rounded to seven decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -1784 divided by -58?\nAnswer: 892\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -539*t - 166. Let r(a) = 180*a + 46. Determine 7*r(f) + 2*w(f).\nAnswer: 182*f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -230.9 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0.175532 - -890199\nAnswer: 890199.175532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by 6195.\nAnswer: 2\/6195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -12, -29, -48, -69, -92?\n\"Answer: -x**2 - 14*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-5)\/2*(0 - 2). Suppose 2*m - 4*s + 10 = 0, -4*m = -s + 3 - 11. Let h be m\/(1\/7 + 0). Solve v*j + 3*z + 16 = 0, 2*z + h = -5*j + 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 167644154?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 214.41 - -73.69. Is u less than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*i - 5*y + 1000 - 1005, 0 = 2*i - 3*y - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -4*f**3 - 5*f + 4. Let a(u) = -3*u**3 - 4*u + 3. Calculate -6*a(q) + 5*i(q).\nAnswer: -2*q**3 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -5888 (base 14) to base 4.\nAnswer: -3300300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**3 - 2*k**2 + 4*k + 1. Let r be x(-5). Let i = r - 115\/2. Which is the closest to 0? (a) -4 (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -34 (base 8) to base 3\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 3*a + 1. Let h be n(4). Let t = -4 + h. What is the remainder when 25 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7666 - 7662. Solve -2*k + d = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - r - 11 = 10, -u - 6 = r. Let c be 12\/(-6) + u\/(-2). Factor -3\/2*p**2 + c*p + 1 + 1\/2*p**4 - 1\/2*p**3.\nAnswer: (p - 2)*(p - 1)*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3826284050 to the nearest integer?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*h - 5*h = 0. Suppose -4*c = q - 7*c - 18, -5*q + 2*c + 129 = h. Solve -q = -5*b - 2*w - w, 0 = -3*b - 4*w + 25 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d + 1003 = -64*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 3*l**2 + 35557*l + 284276. Determine j(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -1602 take away -0.08?\nAnswer: -1601.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 244*-15942.\nAnswer: -3889848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -713294322672 minus -0.1?\nAnswer: -713294322671.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 11095*o + 3 + 1 + 11092*o.\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(-1\/4))**(2\/111) assuming p is positive.\nAnswer: p**(1\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-192)\/1440*(-3)\/4. Let x = 5.7 - 6. What is the second biggest value in r, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -2*w. Let z(m) = -m - 1685. Give y(z(q)).\nAnswer: 2*q + 3370","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56455 is divided by 128?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange n**4 + 0*n**4 + 835 - 3717 + (0*n**3 + 3*n**3 - 2*n**3)*(0*n + 2*n + 0*n) to the form k*n**4 + b*n + a*n**3 + y*n**2 + x and give x.\nAnswer: -2882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 22054693126 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4 and 374.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be (10\/(-25))\/(34\/(-595)). Solve 5*n + 3*p + 22 = 0, -v = 2*n - 7*p + 10*p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 799746 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 205 in -0.1, -6, 2\/35, 2\/3, -473?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n - 5*n - 840. Let m = 190 + n. Calculate the remainder when m is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15398 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 591813629 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1 - -48?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -35\/776 and 95\/126791804.\nAnswer: 253583608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 3*i - i + s, i + s = 6. Let a be (i - (-33)\/(-7)) + 1 + 0. Find o, given that -a*o**2 + 2\/7*o + 4\/7 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -161601 (base 8) in base 7?\nAnswer: -331541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3 and 158637.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2018, -2932, -4456, -6590?\nAnswer: -9334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lpxb when four letters picked without replacement from lipllixlinllb?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = -z + 3*z - 76, -3*g + 3*z = 81. Let b be 186\/(-682) + (-138)\/g. Suppose 7*y - 20 = 3*y. Solve 28 = -4*p + 5*t + b, -3*t + 21 = -y*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 132 divide 104148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2*1\/2)\/((-15)\/(-10)*295\/1947)?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + 3.315.\nAnswer: 6.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6156 and 975726.\nAnswer: 1951452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4 - (-513 + 5 + -1). Let h(i) = i**2 - 513*i + y*i - 6*i**2. Let w(v) = -4*v**2. Calculate w(h(t)).\nAnswer: -100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -1\/2 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -33*z**2. Let j(h) = -659139*h. Calculate o(j(b)).\nAnswer: -14337319303593*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*y = -12*y + 3, 56 = -17*i + 4*y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:40 PM and 4:29 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**2 + 7*k - 7. Let u = 51 - 16. Suppose -20*q + u = -25*q. Give r(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 2, i: 1}. Give prob of picking 1 c and 1 i.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l*l**5)**3\/(l**(3\/26)\/l**(-2\/11)))**(31\/4) assuming l is positive.\nAnswer: l**(183551\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 107988 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 13*d + 200. Let h be s(-14). Which is smaller: h or 88\/5?\nAnswer: 88\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -4 + (-4 - -15) - (-2 - 0). Solve 0*o + s = 2*o - m, 3*o - 8 = -4*m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/5, 2\/3, -4\/5, 37?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -35 - -294. Calculate the remainder when a is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -102 + 104. Let a(l) = -2*l + 2. What is a(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 13.594 to 1 dp.\nAnswer: 13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:57 PM and 9:50 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 6346.807t to milligrams.\nAnswer: 6346807000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -118247 divided by -168.\nAnswer: 118247\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 23391.59922 - 23392. Let j = 0.4 + p. What is j rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.053 * -5\nAnswer: 0.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:10 AM and 12:32 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r be 9\/18 - 0\/2. What is the third smallest value in 3\/4, r, 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 18 = -10. Is l <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 5117 divided by 53\nAnswer: 5117\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/(u\/(u**1*u)*u))**(-6\/29)\/(u**(-4\/13)*u\/(u*u**(-2\/19))))**(2\/63) assuming u is positive.\nAnswer: u**(-64\/451269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -m**2 - 1014*m - 14000.\nAnswer: -(m + 14)*(m + 1000)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Are -23\/3 and -0.591 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -2454, -4648, -6840, -9030, -11218, -13404?\n\"Answer: p**2 - 2197*p - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-58)\/(-3) + (-409970)\/55905?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 18137.17 - 18138. Is -3\/116 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -56 = x - 52 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the first derivative of -61\/5*d**5 + 0*d**3 + 111*d + 1\/2*d**2 - 138 + 0*d**4. What is the second derivative of s(q) wrt q?\nAnswer: -732*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5524 + -99307\/18. What is the common denominator of 1052\/80 + 4\/(-10) and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 40 + -21. Suppose 3*a + 5*y - 17 = 0, y = 3*a + a - 15. Suppose -4*c = -2*c - 6. Solve n - a = c*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -44\/2611 and 53\/127939.\nAnswer: 127939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from ghngahuhghaahuhn?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*a**2\/3 - 1833790856*a\/3 - 420348612943651592\/3.\nAnswer: -2*(a + 458447714)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = 178 - 103. Let r = b - 66. Solve -3*p - 9 = 0, -2*p + r = -4*u - p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 3.292 to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + (-2 - 0 - (9 + -14)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 - -2a9?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 304 a factor of 605872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -o + 5*w + 11 = 8, 5*o + 3*w = -13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(200)*2 - ((sqrt(96)\/sqrt(6))\/sqrt(8))**2).\nAnswer: -80*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 2*m. Suppose -3*q + 398 = -4*p, 2*p + 2*q = -26 - 166. Let u = -63 - p. Let w(k) = u + 2*k - 35. Give w(l(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 2*a + 79 = 55, 0 = 2*i - 2*a + 4. Solve -54 + 50 = i*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4*k**2 - 2*k**2 - 3*k**2)*(0*k + 0*k + k)*(2 - 4 + 0)*(-1 + 4 + 0) as g*k + o*k**3 + h + t*k**2 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1210)\/484)\/((-225)\/(-162))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**3 + 2*l**2 - 8*l - 5. Let m(q) = -4*q**3 - q**2 + 12*q - 11. Let y be m(1). Give h(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -2*r - 12. Let p be u(-8). Suppose t + 68 = -5*a, 5*a - p*t = -42 - 11. Let d = a - -56. What is the remainder when d is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 894, 893, 894, 897, 902, 909?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3 - -6*1)*1. Let u(b) = -3*b + q + 4*b - 2*b + 0*b. Let p be u(-11). Solve -p = -0*n + 2*n - 5*w, n - 8 = -5*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 137158858.\nAnswer: 2, 41, 1229, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*n**2 - 364*n + 364*n.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 21*u = 0. Let v(x) be the second derivative of 8\/5*x**5 + 2\/21*x**7 + 0*x**3 + 4\/3*x**4 + 0*x**2 + u + 8*x + 2\/3*x**6. Factor v(o).\nAnswer: 4*o**2*(o + 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17271*u - 17268*u - 17260*u + 51785*u.\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 + -3.6. Let f = 1.6 + r. What is the nearest to -1 in 4, f, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 + 0*a + 2*a)*(-41 + 40 + 5*a - 21*a + (2 + 2 + 1)*(5 - a - 5)).\nAnswer: -42*a**2 - 23*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8 - -11. Is 127\/(9\/s - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 633, 161, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5.0694 + 0.0694. What is the nearest to 0 in -8\/13, 1\/3, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from lbyyhb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1233 - -10323?\nAnswer: 12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 + 3140133?\nAnswer: 3140134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1224*f**2 - 428*f**2 + 961*f**2 - 272*f**2 - 717*f**2.\nAnswer: -1680*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -304 (base 15) in base 11?\nAnswer: -568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 88766402 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 10*g**2 + 157*g - 57. Calculate z(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u + 13 = -2*k - 4*u, -3*u = 2*k + 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2352 and 110166.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 27*g**2 + 106*g - 4. Let x(u) = 31*u**2 + 107*u - 5. Determine 7*r(v) - 6*x(v).\nAnswer: 3*v**2 + 100*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -2*j**2 - 34*j + 69. Let g(u) = -5*u**2 - 67*u + 138. Let h(n) = 4*g(n) - 9*r(n). Let x be h(16). Solve 34 = -7*t + x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 1, o: 2, g: 2, p: 2, r: 4, d: 1}. What is prob of sequence orrb?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 6 - 3)*(4*i - 2*i + 2*i)*(i - 3*i + 0*i).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 87.81714ml to litres.\nAnswer: 0.08781714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 0*h - 16 = 0. Suppose x = 3*l - 4*x - 121, 0 = h*l + x - 169. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 8*g + 9*g = -184660, 7*o = g + 258522. What is the ten thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10*a**5*p**3 - 14*a**5 - 97*a*p**3 + 2 wrt a?\nAnswer: -200*a**3*p**3 - 280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 4.9882 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 100 - -44. Calculate the greatest common factor of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7 + -4. Suppose -12 = -41*n + 43*n + v, -2*n = -v. Put n, -8, u in descending order.\nAnswer: u, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6000771*g - 137331*g + 694375*g.\nAnswer: 6557815*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 131519039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8346.\nAnswer: 2, 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(76) + (sqrt(76) - (sqrt(76)*-1 + sqrt(76))))*6)\/(sqrt(16) - (sqrt(2304) - sqrt(2304)*3)) + 1.\nAnswer: 1 + 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.2 or 208.0826?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**2 + 7*y. Let g be t(-6). Let m be 20\/14*(11 + (g - -2)). Solve -4*l + 2 = -x, -2*x = -l - 7*x - m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 22102857 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0 + (1 + 2)*1. Let u be 3\/(-21)*0 - -2. Let o(p) = z - p**u - 1 + 0*p**2 + 4*p. What is o(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -13 - -10. Do j and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 83510039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {i: 3, r: 1, y: 3, c: 1, n: 2, m: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -658, -1305, -1942, -2569, -3186?\n\"Answer: 5*s**2 - 662*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -5*u + 4*u. What is the remainder when 37 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 681 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40666.\nAnswer: 2, 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1 + 3 - (-20)\/(-10). Solve -2*o + 0 - 6 = u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -5 (base 13) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (37 - (-17 + -26)) + -51\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/(76 - -8))\/(4\/(-48))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 40235 = -u + 21751. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.1484 and 252763.358.\nAnswer: 252763.2096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -4\/158765 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2111022 and 1863.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 62 + -44. Let r(c) = -c**3 - 7*c**2 - 2*c - 2. Calculate the smallest common multiple of p and r(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -57.7 - -99.8. Let a = l + -40.1. Which is smaller: a or 128?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:42 AM and 9:50 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*6*-1*(0 + sqrt(832) + -1 + sqrt(832)).\nAnswer: -192*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 - 748\/55 - 42*10\/300.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 3336.8 micrometers in nanometers?\nAnswer: 3336800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = 4*y + 25, 0 = -4*m - 7*y + 4*y - 11. Let b = 4 + -8. What is the biggest value in m, -2\/11, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 45, -5, 10 in decreasing order.\nAnswer: 45, 10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n**3 + 3*n**2 + 9*n - 3. Give l(6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 3, 1\/8, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 3*q**2 + q + 11. Let c be g(-5). What is the greatest common divisor of c and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 9, p: 10}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -4 minus -3.0795?\nAnswer: -0.9205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -6*l**2. Let t(x) = -2. Let r(w) = w**2 - 1. Let z(b) = -2*r(b) + t(b). Give z(c(j)).\nAnswer: -72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 13\/8 of a decade?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 607 minutes after 4:50 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -51 + 50. Let l = f - -0.99972. What is l rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 0 + s - 7 + 2. Let q be j(7). Suppose 2*o + 3*t = -q*o + 55, -5*t + 65 = 5*o. Solve 4*i + 0*i + o = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.1074873192 to three dps.\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0 - -17. Solve s - 2*s - a = 3*n, 3*s + 3*n = -27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -8? (a) -57\/4 (b) 0.0068 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 244 divided by 5328.\nAnswer: 61\/1332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (132*x**3 - 90*x**3 - 51*x**3 - 7*x**2)*(2*x - 6*x + 3*x) to i*x + w*x**2 + h*x**4 + v*x**3 + d and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, o: 1, l: 8, h: 2, z: 5}. What is prob of picking 1 y and 1 o?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + h + 44 = 0. Let l = -5 + h. What is the second derivative of -2*g + 0*g - 4*g**3 + l*g**3 wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 15 and 28017?\nAnswer: 140085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be 14\/8 - 3\/(-12). Let r = -7 - -13. What are the prime factors of k\/4*r + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 24279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (-977)\/3908*((-2)\/2)\/((-6)\/(-2))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 27\/680 and 35\/27435348?\nAnswer: 274353480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = 16 - 14. Let p(m) = 7 + m**3 + 7*m**c - 11*m**2 - 7*m + 0*m. Let l be p(5). Let q(o) = 2*o + 3. Give q(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0 + 4 + -17 + 14. Let a = n - -5. Solve -a + 14 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -322403\/3*d**2 + 802\/3*d**3 - 213867\/2 + 214134*d - 1\/6*d**4 = 0.\nAnswer: 1, 801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 11*i. Let f(h) = 13*h - 15*h - 21*h. Let j(g) = 6*f(g) + 13*n(g). What are the prime factors of j(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -h = 5*h + 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55*z = -162*z + 190674. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -6*z**3. Suppose -14*t + 16*t - 10 = 0. Suppose -t*a = -o + 122, 0 = -3*a + 2*o - 5*o - 66. Let r = 25 + a. What is s(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1015166 (base 9) to base 6.\nAnswer: -15340140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u**2 - 3*u + 2. Let m(t) = 1 - 5 + t**2 + 5. Give 3*m(a) - x(a).\nAnswer: 2*a**2 + 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 148*n**4 - 149*n?\nAnswer: 1776*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 3.588662 to 3 decimal places.\nAnswer: 3.589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (6822 - 3023 + 14271)*(4*a + 0*a - 5*a) as m + z*a and give z.\nAnswer: -18070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**1\/(o*o**(-5\/2)))\/(o**12\/o**(3\/2)))**(-8\/5) assuming o is positive.\nAnswer: o**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 5*-6*(2 + sqrt(432) + -1)**2*6.\nAnswer: -77935 - 4320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -5779450 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the second derivative of -29*y**7\/42 - 3*y**3\/2 + 3*y. Find the second derivative of n(z) wrt z.\nAnswer: -580*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -412, -442, -494, -568?\n\"Answer: -11*f**2 + 3*f - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.58 + 0.32. Let t = j + -0.04. Is 2 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 11 divided by 36241892\nAnswer: 11\/36241892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.59 + 465?\nAnswer: 464.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*d - 35 = -65. Is -5\/13 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 9 in 108, -4, -10\/49?\nAnswer: -10\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 18*a**2*o - 26*a**2 + 4*a*o - 2*a + 237*o - 10 wrt a?\nAnswer: 36*a*o - 52*a + 4*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 7 - 2942\/360 - (70\/(-105) + (-32)\/60)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1942 - 1957) + 1 + 2 + -18.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 12*o**2 + 265. Let n(y) = 6*y**2. Calculate a(n(l)).\nAnswer: 432*l**4 + 265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 51 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*s**4 - 3*s**4 + 2*s**4)*(3*s - 2*s + 0*s) + (-s**3 + 2*s - 2*s)*(284*s**2 - 3*s**2 + 269*s**2).\nAnswer: -549*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2547 (base 10) in base 6?\nAnswer: 15443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 39 - w - 39. Let n(v) = 2*v. Give n(j) + 3*z(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1508*r + 1237*r + 1082*r + 2*r - 9*r + r + (-2 + 0 + 3)*(0*r - 2*r + 0*r))*(-1 + 1 + r) to n + y*r**2 + b*r and give y.\nAnswer: 803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 275065 - -1?\nAnswer: 275066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*a + 3 - 3 + (-1 - 3 + 2)*(3*a + 3 - 3) - 4*a - 4*a + 4*a)*(-3*a**2 - 3*a**2 + 4*a**2) to l + o*a + b*a**2 + w*a**3 and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a - s - 11 = 0, 294*s = 3*a + 299*s + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 3*s**3 - 6*s**2 + 2*s - 10. Let m(v) = v**3 - 1. Let y(r) = 4*m(r) - n(r). Determine y(-7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-t + 2*t - 2*t)*(7 + 7 - 7)*((4*t**3 + 3*t**3 + 3*t**3)*(-t - t + 0*t) - 3*t**2 + 3*t**2 - t**4).\nAnswer: 147*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-6)*(4\/(-10))\/((-9246)\/3015)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 10\/((-8)\/(-10)*(-500)\/100)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 298 minutes after 1:32 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-115)\/(-3) + 2\/3. Let j be ((-1)\/3)\/(13\/v). Let h(a) = 37*a**2 - 1. List the prime factors of h(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 33 = 47. Calculate the smallest common multiple of 22 and c.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9 + 2*o**3 + 4873*o**2 - 49*o + 26*o - 4871*o**2 + 23*o.\nAnswer: 2*o**3 + 2*o**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1 (b) -2\/9 (c) 31 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 13*n**3 + n - 4*n + n**4 - 6*n**3 - 8*n**3 in the form s*n**4 + o + l*n**3 + f*n**2 + p*n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = 3*z + 112. Let s = z + -76. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 143204194019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 2) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 7794 at most as big as 7793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*(sqrt(78) - 2*sqrt(78)) - sqrt(78)) + sqrt(78) + sqrt(78))\/(sqrt(12)\/sqrt(18)).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y, 1 k, and 1 o when three letters picked without replacement from pyfypypppxkpxkpoxxy?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 10 + -11264?\nAnswer: -11254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(65)*2 - -2*sqrt(65)*1)\/(6*(5*sqrt(10)\/sqrt(2) - (sqrt(5) - sqrt(35)\/(sqrt(7)*2)))).\nAnswer: 4*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-3\/5)\/u*u\/(u\/u**12) assuming u is positive.\nAnswer: u**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -320 and 0.5?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4613492905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 50, 71, 100, 137?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3\/(-9) + -5 + (-28)\/(-3). Solve -g = u*g - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find x such that 1995*x**4 + 2004*x**3 - 47871*x**2 + 71604*x + 324 = 0.\nAnswer: -6, -3\/665, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 84*t**2 - 5*t + 1. Let q(n) = -n. What is f(q(u))?\nAnswer: 84*u**2 + 5*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 45.641575 to 2 decimal places.\nAnswer: 45.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2\/(-4))\/(1\/146). Suppose -5*v - 307 = -3*g, -14*v = 5*g - 13*v - 549. Let t = g + c. Calculate the remainder when 69 is divided by t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - (0 - -1 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 31316, -10, 2, 2\/31 in descending order.\nAnswer: 31316, 2, 2\/31, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k**4 + 141027*k**3 - 1659568221*k**2 + 51306670365*k + 52966379616 = 0. Calculate k.\nAnswer: -1, 32, 23489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 41\/6 of a millennium?\nAnswer: 82000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be -6*6\/9*1 - -2. Does 50 divide (500\/x)\/(0 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1512\/(-280))\/(9\/(-15)). Solve -f*p + 12 = -6*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6 + 8. What is the remainder when o is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 2*p = -p + 15, -p - 3 = d. Let q = 2 - d. Suppose -c + q*c - 29 = 4*t, -22 = -5*c - 3*t. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 134099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the first derivative of -1\/14*i**4 + 8\/21*i**3 - 1 + 4\/7*i - 5\/7*i**2. Factor s(v).\nAnswer: -2*(v - 2)*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 4322484 divided by -392\nAnswer: -1080621\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (-v - 5*v + 4*v)*((-4*v + 4*v - v)*(-2 + 1 + 2) + 202584 - 386*v - 202584) in the form o + i*v**2 + p*v and give i.\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -9 + 38 + 10*p + 130*p - 95 + 10*p wrt p.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 54533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -2627, 17, -2 in increasing order.\nAnswer: -2627, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*(-10)\/(-8)*-31*540\/2790.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 5*f + 9 = -12, 3*n - 3*f + 15 = 0. Let z = -53 - -211\/4. Which is the third biggest value? (a) n (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 2*c**3 + 2*c**2 + 2*c - 1. Let p(i) be the second derivative of -i**5\/20 + i**3\/6 - 638*i - 1. Calculate -2*p(o) + y(o).\nAnswer: 4*o**3 + 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/c**(-3\/7))**(-9))**(-36)*((c\/(c**(-2\/25)\/c))\/c**(-2))**(1\/31) assuming c is positive.\nAnswer: c**(2511714\/5425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -31, 4, -1\/9, -9 in descending order.\nAnswer: 4, -1\/9, -4, -9, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 122 (base 6) to base 15\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 - -7. Let j = -3246 - -3243. Let d = j + u. What is the smallest value in 2\/17, d, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from duuuddduddudd. What is prob of sequence udud?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 53\/117808 and -19\/10256.\nAnswer: 75514928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -42 (base 13) to base 7.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 33894215?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 985810343.\nAnswer: 7, 140830049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -40*y - 16 + 16*y + 20. Let g be f(-2). What is the greatest common divisor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -8*y + 2. Let c = -29 + 35. Let x(z) = -9*z + 2. Calculate c*q(j) - 5*x(j).\nAnswer: -3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 21582347 >= 21582344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -25572.40723 - -25573. What is f rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (0 + sqrt(8)\/sqrt(4) + -1 + sqrt(126)\/sqrt(7) - -4*6*-5*sqrt(12)\/sqrt(6)))**2.\nAnswer: 232*sqrt(2) + 26913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/42 + (-376)\/56 + -9\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 55957620 divided by -121647\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the second derivative of 4*d**5\/25 - 14*d**4\/3 + 1537*d**3\/30 - 2523*d**2\/10 + 81*d. Factor t(z).\nAnswer: (z - 3)*(4*z - 29)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.017 + 0.0001001835727.\nAnswer: 0.0171001835727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -68*y**3 + 33*y**3 - 259*y**3 - 41*y**3.\nAnswer: -335*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 3*n**2 - 99*n - 697. Let j be m(32). Is -792 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -0*k + 8. Let j be (18 - 14)*(2\/1 - 1). Which is the nearest to k? (a) j (b) 1\/6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -95, 1, -1, -101, 5, 4, 13.\nAnswer: -101, -95, -1, 1, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 15 - ((-34 - -28) + 25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(5) + (sqrt(20) - sqrt(5)) + 5 + sqrt(5) + (sqrt(5) + -2*sqrt(5))*4 + ((-2 + sqrt(125) - sqrt(125))**2 + sqrt(5) - (-1 + sqrt(5) + 0)).\nAnswer: -sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 269*y - 267*y - 2)*(-3*y - 2*y**3 + 3*y).\nAnswer: -4*y**4 + 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 680240246\/5 or 136048050?\nAnswer: 680240246\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**10)\/y**(1\/8) assuming y is positive.\nAnswer: y**(87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a be -2*(2\/(-4) - -3). Let c(j) = -j. Give c(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 95\/30636 and -85\/240967458?\nAnswer: 481934916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.04 + -0.15. Let p = -2.89 + n. What is the closest to 2\/3 in 3\/4, p, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-32)\/(-2) - (-288)\/(-180)*30\/8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.05707 and 5.\nAnswer: 0.28535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27481*r + 27583*r - 55100*r.\nAnswer: -36*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 4, b: 1, k: 8}. Give prob of picking 1 k and 2 i.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 172 - 193. Suppose -4*s - 2*t - 55 = 23, -5*s - 104 = -4*t. Is s <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 137 + -150.4. Let w = z + 13. Put w, -1, -1\/7 in increasing order.\nAnswer: -1, w, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*l**2 + l - l)*(-7*l + 0 + 0) - 3*l**2 + 3*l**2 - l**3.\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -121 (base 3) in base 10?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7 - 2. Suppose 0 = -u*i + 52 + 88. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 14198 and 11221?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*h = 9*h - 5. Let g = 73\/93 + -2176\/837. What is the common denominator of 2\/(-77)*((-218)\/3 + h) and g?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 + 8*n + 3 - 7.\nAnswer: 8*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s*s**(-7)*s)\/s**(1\/16))\/((s**2\/s)\/s)**(-22))**(-2\/21) assuming s is positive.\nAnswer: s**(27\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 49 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 111122 (base 3) to base 12.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*p + 17*p = l - 1593, 0 = -2*l - 2*p + 3226. What is the greatest common divisor of 1809 and l?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 48 - 118. Let y be (20\/(-14))\/(20\/h). Let z(k) = -k - 1. Let v(x) = 2*x + 1. Let s(q) = 3*v(q) + 5*z(q). What is s(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j = 2*k + 18, j + 3*k + 20 = 6. Let s(h) = -h. Let x be s(j). Solve 4*m = -2 - x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 2*l + 15 = 3*l, -2*l = -2*u - 14. Put 4, -1, u, -22 in decreasing order.\nAnswer: 4, -1, u, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - f - 268 = 134, -l - 5*f = -456. Solve 4*t = -2*c - 6, -3*c = 5*t + l - 404 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2100 and 1200?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 443 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 17, 8, 1, 26, 3 in descending order.\nAnswer: 26, 17, 8, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 22*m**2 + 4*m - 3. Let p be o(1). Suppose p = 7*l + 9. Solve -h = -2 - l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-14\/3)*f*f*f**(-3\/7) assuming f is positive.\nAnswer: f**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 158 - 155. Differentiate 164 + 27*v**p + 17*v**3 - 116 wrt v.\nAnswer: 132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 + 2*j + 5)*(-8*j + 6*j + 5*j)*(-3 - 2 + 4) to l*j**2 + u*j + n and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - -14290547?\nAnswer: 14290552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a + 12884653 = 12884383 for a.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 330*h = 120*h + 152*h - 986 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*f**2 - 12 - 2*f**3 + 0*f**3 + 10 - 6*f.\nAnswer: -2*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -6, 1, -4, -8 in descending order.\nAnswer: 1, -4, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + 5 + (sqrt(847) - (-1 + sqrt(847) + -5 - sqrt(847))) + sqrt(847))**2.\nAnswer: 352*sqrt(7) + 3452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1 - -8. Let u = x + -3. Let r = u + -3.999. Round r to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = r**2 - r + 1. Let d(i) be the third derivative of -3*i**5\/20 + i**4\/4 - i**3 + 38*i**2. Let a = 2 + -3. Calculate a*d(c) - 6*j(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that 3*s**4 - 3390*s**3 + 1271256*s**2 - 160710690*s + 1063838853 = 0.\nAnswer: 7, 297, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.3 and 14090853.\nAnswer: 14090853.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**3 + 3*i**2 - 4*i + 2. Let u be m(-4). Solve -n + v = -4*n - 7, 0 = 3*n + 2*v + u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.2, 0.4, 3, -1\/6080?\nAnswer: -1\/6080","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:45 PM and 1:25 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 82127 is divided by 3281.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be (16\/232 - 39\/(-87)*11)*-1. Which is the nearest to -0.25? (a) -2\/49 (b) 2 (c) y (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4 + 214530423?\nAnswer: 214530418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -132334 + -112?\nAnswer: -132450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -616 = -109*d + 369*d - 2436 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve r + 4*j = -3*r, -3*r + 3*j - 12 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -1641*h - 21321. What is x(-13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*a = -77*a + 255. Find the third derivative of -50*s**5 - 51*s**a + 30*s**6 + 145*s**5 - 44*s**5 + 4 + s**3 - 7*s**2 wrt s.\nAnswer: 3600*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*z - 6\/5*z**2 + 0.\nAnswer: -6*z*(z + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 42 - -3. Let l = y + -26. Let j = -1 - -11. Calculate the remainder when l is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes after 8:09 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**2 + 20*w + 1. Let n be u(-20). Suppose -3*m = 2*m, -3*x = -m - 3. What is the units digit of (1 + 20)\/x*n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 20 + -18. Factor 4*u + 0*u - 6 + 0 + 4*u**2 - g.\nAnswer: 4*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 40 - 2*b**3 + 4*b**3 + 6 to the form s*b**2 + n*b + d + r*b**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f - 4*d - d - 47, -3*f - 4*d = -65. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*p - 43*p = -760. Calculate the remainder when p is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = -0*r + 2, -4*x + 5*r + 6294 = 0. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -471 in -2\/17, 0.1, -4, 1\/4, 0.35, 2\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-14)\/(-14))\/((-2)\/(-58)). Suppose 0 = 9*v - 10*v + j. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) -0.05 (c) 551 (d) -84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 722982619?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*l**4 - 4*l**2 - 14*l**3 + l**2 + 4*l**2 + 2*l + 8*l**3 + 0*l**2 to the form x*l**4 + q + n*l**2 + i*l**3 + z*l and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5866570724 to the nearest integer?\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0 + (-6)\/(1 + -2). Let z(o) = -10 + 28 + 4*o - 15. What is the tens digit of z(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7\/98 + 48\/(-40) + 26379195\/350.\nAnswer: 2, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 221201 + -33?\nAnswer: 221124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -z**2 + 2*z - 6. Let s be c(-5). Let a = -1 - s. What is the highest common divisor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0.5, -3, -44 in descending order.\nAnswer: 0.5, -3, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 9268 (base 14) to base 16.\nAnswer: 625c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**3 + w**2 - w + 1. Let p(b) = -27*b**3 - 36*b**2 - 2*b + 2. Let j(x) = p(x) - 2*t(x). What is the third derivative of j(s) wrt s?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 365804447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 469*f + 241*f - 80*f + 183*f to the form t*f + c and give t.\nAnswer: 813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -114 = -3*s - 0*g + 3*g, 4*g + 192 = 5*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 13 + 178b?\nAnswer: 17a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of -6815 and -1.\nAnswer: 6815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + ((-4 - 2) + 2 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that 2*g**3 + 30*g**2 + 54*g + 26 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*y**5 + 472*y**4 + 1328*y**3 - 4072*y**2 - 1340*y + 3600 = 0 for y.\nAnswer: -36, -5, -1, 1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 989821, 989839, 989891, 989995, 990169?\nAnswer: 990431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*c**2*p + 2*c*p**2*w + 121*c*w**2 - p**2*w**2 + 270*p**2 wrt c?\nAnswer: -4*c*p + 2*p**2*w + 121*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.004028006 rounded to 4 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-1)\/2)\/(2\/(-16)). Suppose 0 = 5*o - y - 46. Let i(n) = n**3 + 6*n**2 - 21*n + 9. Is i(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*b - 5 = -18*b. Solve 5*s = d - 9 - 5, -b*d + 7 = -4*s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 173 minutes after 1:32 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.023 + 0.253. Let d = y + 0.17. Which is greater: -0.3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/47 not equal to 15742951?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3562*d + 11544 = -52572 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000057449304 to six dps.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 499103590 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 505 a factor of 1883040975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -3177392 divided by -2?\nAnswer: 1588696","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Let a = 50.6 - 50.1. What is the nearest to 0 in 5\/2, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-1\/15)*f*f*f*f*f*f\/(f**1\/f))**(-28) assuming f is positive.\nAnswer: f**(-2492\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 73 - 295\/4. Suppose -5*v - 22 = -3*x + 7, -x - 2*v = 5. Suppose -2*u = 2*u + i + x, -3*i = -2*u + 9. Is k greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*z**4 + 12*z**4 + 0*z**4)*(4 + 7 - 1) - z**4 + 2*z**4 - 3*z**4 to the form y*z**3 + j + q*z**2 + v*z**4 + n*z and give v.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -6703*y**2 + 375*y + 3481. Let k(s) = -6703*s**2 + 250*s + 3482. Let r(l) = 3*k(l) - 2*p(l). What is the derivative of r(a) wrt a?\nAnswer: -13406*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 237921 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p**2 - 5895616*p = 0. What is p?\nAnswer: 0, 1473904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 25\/12977382 and -97\/20086?\nAnswer: 142751202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*g - 2*g + 16 = -3*j, 0 = -2*g + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**5)**(1\/28) assuming z is positive.\nAnswer: z**(5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1165541441 to the nearest integer?\nAnswer: 34140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1 - (1 + (-1 - -1)). Let i be -8 + 2 - (9 - 15). Solve d = -i*z + 3*z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1\/222 + -143\/1110. Let z = 46\/765 + 1\/153. Let m = z - r. Which is greater: m or -2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2.41 + 2.409782. What is z rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**3 + 39*i**2 - 316*i - 20. Give y(27).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-4)\/(-78)*(2 - -46) and 58\/(2*5\/(-2)).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 197 - 30 + 163 = 22*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 16 + -389. Let z = 773 + l. Is 40 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, -5, 14\/11, 8, -2\/15 in ascending order.\nAnswer: -5, -2\/15, 0.3, 14\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let 4*f**5 + 84*f**4 - 844*f**3 + 2364*f**2 - 2088*f = 0. What is f?\nAnswer: -29, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = -25 + 27. Suppose 0 = -v*m + 5*w + 18, -6*m + 3*m = -w - 14. Solve -t = m*t + 5*s + 35, -t + 17 = -5*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -12, -1\/3, 1, 0.989, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10514222.\nAnswer: 2, 5257111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 95 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1599*l - 1924.\nAnswer: -1599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + s - 12 = -3*t, -20 = -5*t - 5*s. Let z(r) = -4*r**3 - 5*r**2 + 5*r + 3. Let p(q) = -3*q**3 - 4*q**2 + 4*q + 2. Calculate t*z(c) - 5*p(c).\nAnswer: -c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-16)\/(-140))\/(-5*4\/(-100)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -33*o**2 + 276*o - 557. Calculate f(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1472 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 prob of sequence mvc when three letters picked without replacement from {m: 1, v: 2, n: 1, c: 4, w: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 3*z. Let c(x) = -12*x**2 - 25*x - 26*x - 18*x - 6 + 69*x. Give c(q(o)).\nAnswer: -108*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n, 1 v, and 1 h when four letters picked without replacement from tnjhvajaajjn?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 268 = -5*k, 2*z = -k + 6*z + 46. Which is the nearest to 0.2? (a) k (b) 0.2 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 260 and 3621605?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 2 q when three letters picked without replacement from {c: 10, h: 2, q: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (175\/15)\/((6643\/219)\/(-91))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 186575608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 127476.\nAnswer: 2, 3, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/4)\/(39\/(-78))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, g: 1, w: 1, y: 1, b: 5}. Give prob of sequence ry.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**(-2\/7))**(-26)*(w\/(w\/(w*w\/(w*w*(w**2*w*w)\/w*w)*w)*w)*w)\/(w*w**(1\/4)) assuming w is positive.\nAnswer: w**(-639\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -769, -3\/11, 0.2, 2\/5?\nAnswer: -769","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 759438 is divided by 1144.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 24180424 to the power of 1\/2, to the nearest integer?\nAnswer: 4917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1716059289 a multiple of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that 52*w + 85*w + 396 - 988*w**2 + 81*w - 994*w**2 + 1992*w**2 = 0.\nAnswer: -99\/5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -267316 (base 12) to base 3.\nAnswer: -1012020112200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 10 divided by 7888?\nAnswer: 5\/3944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(832) + (sqrt(832) - (sqrt(832)*-2 + 2)) + sqrt(832)))**2.\nAnswer: -2560*sqrt(13) + 332864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v. Let j be q(-3). Suppose -j*u + 0*u = 0. Let d(x) = -2*x - 2. Let g be d(u). Which is the closest to 1? (a) g (b) -4 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 3*i - 30. What is the remainder when 33 is divided by p(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -4, -1\/20, -1 in descending order.\nAnswer: 6, -1\/20, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yjjjjjjj. What is prob of picking 2 j?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*s**4 + 2*s**4 + s**4 + 2*s**4 + s**4 - 9*s**4 + (3*s - 2*s + 0*s)*(-s**3 + 3*s**3 + 0*s**3) + s**4 + 1 - 1 + 4*s**4 - 6*s**4 - s**4.\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 108414 and 3804.\nAnswer: 216828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5624 is divided by 937.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -2*v**2 + 21*v + 35. Let h be c(13). What is the remainder when 120 is divided by (55\/(-33))\/(2\/h)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*b - 43 + 3 = 0. Let d(p) be the second derivative of 3\/20*p**5 + 0 - 1\/4*p**4 - b*p + 0*p**2 + 0*p**3. Find the third derivative of d(h) wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -102, 4, 2 in decreasing order.\nAnswer: 4, 2, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**2 - 9*q - 800. Let i(p) = p + 1. Let c(j) = -6*i(j) - o(j). Is c(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 869509448 to the nearest integer?\nAnswer: 29487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = 4*v - 4173, -4*v + 20*r - 22*r + 4182 = 0. What are the prime factors of v?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -215040 (base 7) to base 15\nAnswer: -b2c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y**4 - 722*y**3 - 88472*y**2 - 174040*y = 0. What is y?\nAnswer: -95, -2, 0, 458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -h**2 + 118*h - 232. Let i be z(2). Let m = 85 + -253\/3. Suppose i - 4\/3*g**2 - m*g**3 - 2\/3*g = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-17)\/(-136))\/(2\/(-4)))\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5\/6 in -8705, -1, -8\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -36*f**2 - 7*f - 7. Determine d(-1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 48 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence udj when three letters picked without replacement from jjututccdutjd?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -24666, -20613, -16558, -12501, -8442?\nAnswer: -4381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 42718041 is divided by 3083?\nAnswer: 3076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 319*f**2 - 138*f**2 + 10*f**3 - 181*f**2.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 3\/94864 and 151\/8712.\nAnswer: 853776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 2053 (base 7) to base 9.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 - 9 + 8 - 3*t.\nAnswer: -3*t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 30333 (base 4) in base 10?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 65 divide 149370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 5*d + 11 = 0, -5*j + 0*j + 80 = -4*d. Let t = 19094 - 19076. What is the smallest common multiple of t and j\/9*(-33)\/(-2)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -12525031 + 2?\nAnswer: -12525025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11.382 - -2.588. Let h = -0.23 - c. What is h rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 618, 1237, 1856, 2475, 3094, 3713?\n\"Answer: 619*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 31 - 25. Suppose 2*l + r - 8 = 0. What is the remainder when 71 is divided by l\/(-2) - (-588)\/24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10 + 1011210301303?\nAnswer: 1011210301233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 14381516 and 2588?\nAnswer: 2588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4.5 + -5.7. Let q = -10.2 - p. Which is the nearest to q? (a) 2 (b) -5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1288614866 to the nearest integer?\nAnswer: 35897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 65179 is divided by 726?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) be the first derivative of -16*l**6\/3 - 6*l**3 + 29. Find the third derivative of z(y) wrt y.\nAnswer: -1920*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 221080 != 221251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -5*l - 27. Calculate the smallest common multiple of 192 and r(-7).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-8)\/10)\/(4\/(-10)). Suppose -4*z - 10 = 3*k - 0, -3*z - 18 = -3*k. Find the second derivative of u + 9*u**2 - 13*u**k + 4*u**a - 2*u**5 wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*s**2 - 2*s**2 + s**3)*(-1 + 6 + 6)*(4 + 0 + 0).\nAnswer: 44*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(5*(sqrt(2736) + 5)*5 + (sqrt(2736) + 2*sqrt(2736)*3 - sqrt(2736) - sqrt(2736) - (3*sqrt(2736) + -1))).\nAnswer: -972*sqrt(19) - 378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Add together -12394589298 and 3.\nAnswer: -12394589295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -23813, 1\/9, 0.3, 3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -6*l + 7. Suppose 4*u - 3*s - 23 = -8*s, -6 = 3*u - 4*s. Let m(x) be the third derivative of -x**4\/12 + x**3\/3 - 1105*x**2. Give u*q(d) - 7*m(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 504603 + 3*c**2 - 504603.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1203057 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -2 and -0.02508?\nAnswer: 1.97492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 4*l**2 - l + 4. Let t(h) = -26*h**2 + 18*h - 1. What is -t(m) - 6*x(m)?\nAnswer: 2*m**2 - 12*m - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-1))**(-2)*(((t*t*((((t**(1\/2)*t)\/t)\/t)\/t)\/t*t*t*t)\/t*t)\/t)**(-2\/127))**(5\/3) assuming t is positive.\nAnswer: t**(1255\/381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 349*l*p + 625*l + 8848587*p wrt l?\nAnswer: 349*p + 625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 408114 is divided by 278.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 148969 = 1478*h + 138623 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 54606758.\nAnswer: 2, 173, 157823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = -21 + 25. Let w = 4.032 - o. Round w to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -448*p - 6417 - 303 = 0 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 508 minutes after 10:04 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2 - -16. Let y(s) = s**3 - 7*s**2 - 18*s - 9. Let a be y(9). Let t = a + z. Which is greater: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.1 from 1.0692.\nAnswer: 0.9692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1472 or 2875?\nAnswer: -1472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from {b: 1, w: 8, g: 5, j: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be (4 - -2) + 8\/(-4). Suppose 25 - 5 = g*c. Does 2 divide 8\/c + (-16)\/(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-1 + (-6 - (-18 - (-16 + 7)))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -31*k - 83. Let h = -55 + 52. Let r be q(h). Solve c + r - 12 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 1, -2, 8\/1285, 0.2, -0.3, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5013839 is divided by 1646.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 45\/5265*-24*(-9)\/132.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1221272317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 611, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 1 + 3)*(-g**4 - 2*g**4 + 0*g**4) - 40 - 5*g + 78 - 36 - 3*g**4.\nAnswer: -6*g**4 - 5*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:33 PM and 7:44 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-6)\/(-18) - (-47732)\/(-6). What is the units digit of 12\/(-3) - (5 + u)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2210744 is divided by 2607.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 461 - -86. Let o = x + -20347. Round o to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 256 = z, -5*z = -z - 4*m - 1104. Suppose -9*o - 474 = -4*o + c, -4*o + 2*c = 368. Let h = z + o. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 38894120 is divided by 3591?\nAnswer: 3590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1212433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -13 (base 12) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 61 a factor of 1687016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((z**(-22)\/z)\/z)\/z*z*(z**(-3\/22)*z)\/z)**(37\/4))**(-8\/7))**(1\/21) assuming z is positive.\nAnswer: z**(6549\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 6*m. Let r(w) = -17*w. Let u(v) = -8*f(v) - 3*r(v). Let a(t) = -438*t + 2194. Let y be a(5). Let z(x) = -7*x - 1. Calculate y*z(c) + 9*u(c).\nAnswer: -c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -33*p**3 - 6505*p**2 + 572026*p + 69432.\nAnswer: -(p - 66)*(p + 263)*(33*p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50*l + 1680 = 58*l. Does 30 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the second derivative of -1\/4*g**4 + 3*g + 3\/80*g**5 + 1\/2*g**3 + 0 + 0*g**2. Factor c(y).\nAnswer: 3*y*(y - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = -27 + 102. Let h be (2 + f\/(-6))*-42. What is the highest common factor of h and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*q + 60*q - 560 = 0. Let s(k) = k**2 - 5*k + 2. Let h be s(3). Sort q, h, -1.\nAnswer: h, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:49 PM and 1:37 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-3264)\/(-160) + -21 + (156\/(-5))\/(-2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -679649000 rounded to the nearest one million?\nAnswer: -680000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply -7378910 and -0.102.\nAnswer: 752648.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(275) + (1 + sqrt(275) - sqrt(275)))**2 + -5 - (0 + -2*sqrt(275))) + 2*(sqrt(275)*-2 + -5 - sqrt(275)))*2.\nAnswer: -20*sqrt(11) + 522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-11858)\/(-968) - (-9)\/12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24 + (-1 - 22) + (35 - (-56 + 74))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -22*v**4 - 2*v**3 - 221*v**2 wrt v?\nAnswer: -528*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -135697971 divided by -69269.\nAnswer: 1959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 70682 divided by 2516\nAnswer: 35341\/1258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0 - -15. Let a = x + -15. Suppose -3*s - 8 + 179 = a. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -331*m + 106*m - 872*m - 6582 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) be the first derivative of x**2\/2 + 14*x - 322. Let g(o) = 5*o. Determine v(g(w)).\nAnswer: 5*w + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g. Let s be j(-3). Let r(p) = 5*p**2 - 4*p - 7. Is 5 a factor of r(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -16*k**2 - 2*k + 1. Let h be g(1). Let b = h + 17. Solve b*a + 4*a + 8 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 3*c - 739. Let r = -199156 + 199180. Calculate the least common multiple of c and r.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**3\/9 - 7214*y**2\/9 + 146080*y\/3 - 733400.\nAnswer: -2*(y - 30)**2*(y + 3667)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -4*j**2 - 3*j + 8. Let o(a) = -3*a**2 - 3*a + 7. Let h(z) = 2*n(z) - 3*o(z). Let b be h(-5). What is the nearest to -3 in -1, b, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1 - 4) + (0 - -3). Factor w*m - 2\/3*m**2 + 0.\nAnswer: -2*m**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the second derivative of 0 - z + 0*z**2 - 1\/2*z**3. Let v(k) be the first derivative of -2*k**3\/3 - 1. Determine v(g(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*f**3 - 2*f + 2*f)*(-3*f + 2*f + 3*f) + 7*f**2 - 4*f**4 - 7*f**2 + (-7*f + 2 - 2)*(-f - 3*f + 6*f)*(7*f**2 - 5*f**2 + 18*f**2).\nAnswer: -288*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 475 = 199*d - 719 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 52280 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -80, -360, -842, -1532, -2436?\nAnswer: -3560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11 - -24. What is the remainder when 36 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 224 is divided by 61.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(900)*-3 - sqrt(9))\/sqrt(3))**2*-1.\nAnswer: -2883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 5*u + 7*u - 16*u)*(60 - 159 - 103).\nAnswer: 808*u - 404","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10 - -14. Find the third derivative of m**6 + 2*m**2 - 4*m**2 - s*m**6 wrt m.\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 257752.\nAnswer: 2, 11, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -g**3 - 3*g**2 - 6*g - 15. Let z = 19 - 20. Calculate the remainder when 72 - 2*(z - -2) is divided by f(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 20 - 20 - 57*b**2 + 165*b**2. Let j(k) be the second derivative of k**3\/3 + 2*k. Determine j(r(v)).\nAnswer: 216*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -397534.736 rounded to the nearest 10?\nAnswer: -397530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 69125 and 515165?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 76 - 79 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3550, 4088, 5004, 6298, 7970?\nAnswer: 10020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -182 - -365\/2. Let k(t) be the first derivative of 2\/3*t**3 - z*t**2 + 0*t - 5. Find the second derivative of k(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r - 18*r = -432. Let o be 1\/(-2 + 78\/r). Are o and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 14328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 4*t**2 - 112*t + 617. Determine c(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*s - 3*s - 24 = 0. Solve 3*h = 5*h - s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -230 and -241 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/6 - (-1)\/(-4). Let h = -0.229 + 0.419. Let x = h - 0.19. Sort -0.4, x, 0.1, i in decreasing order.\nAnswer: 0.1, x, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1452 - -40?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -1, -2, 267870, 12, 7 in increasing order.\nAnswer: -2, -1, 4, 7, 12, 267870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 5*q + 48. Let o be g(13). Which is smaller: o or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -15222*d + 24. Let w(j) = 30445*j - 45. What is -15*u(k) - 8*w(k)?\nAnswer: -15230*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the third derivative of m**5\/20 - m**4\/3 + 527*m**3\/6 + m**2 + 109. What is the derivative of k(p) wrt p?\nAnswer: 6*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 2*b = -25, -19 = -2*y + b - 2*b. Let f = y + -6. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4619 (base 10) in base 11?\nAnswer: -351a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 8*p - 16. Let x be n(9). Suppose -3*l + 3*r - 2 = -l, l - 4*r = -6. Suppose f = 4, -3*o + l = -2*f - x. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the third derivative of 0 + 0*k**3 + 0*k**4 - 1\/30*k**5 + 0*k - 2*k**2. Let j(p) = 6*p. Determine t(j(h)).\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**2\/3 + 46*b - 140\/3.\nAnswer: 2*(b - 1)*(b + 70)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1331) + -1 + (1 + sqrt(33)\/sqrt(3) - sqrt(11)))**2.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.25 + 0.29. Let x = -0.16 - f. Let t = 266\/3 - 88. What is the second smallest value in 4, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1326 + 372 = -159*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 437861.5m?\nAnswer: 437861500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + (6 - (-1 + (3 - -2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*b + 102455*b**2 - 102454*b**2 - 5*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 * -5869.\nAnswer: 586.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 5*y**2 - 13*y - 18*y + 1 + 9. Let i(o) = -o**2 + 6*o - 2. Let t(s) = -2*b(s) - 11*i(s). Is t(6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 2 + 4)*(-4013*j + 4013*j + 44*j**2).\nAnswer: 88*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**3 - 2*f**2 + f - 1. Let d(s) = 9*s**2 - 4*s + 5. Give d(b) + 3*q(b).\nAnswer: -3*b**3 + 3*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24265?\nAnswer: 5, 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -2*v + 6. Let x = 120 + -124. Determine b(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) 1\/3 (c) -1\/11 (d) -0.2 (e) -34 (f) 2 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 1 = -3*x + d, 5*x + 4 = -4*d. Factor -4\/7*v**3 + 4\/7*v + x + 0*v**2.\nAnswer: -4*v*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 68\/6*(-5)\/(-30)*-4*270\/40.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = z + 9*z - 230. Suppose b + z = 3*f, 0*f = 3*f - 5*b - 19. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b**2 - 2. Let k(y) = 212*y**2 + 235. Let j(q) = -k(q) + v(q). Differentiate j(z) wrt z.\nAnswer: -422*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 4\/9 (b) -5 (c) -0.02 (d) -4182\/5 (e) -18 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -3*m + 1641. Let f(b) = 25*b - 13140. Let a(r) = 4*f(r) + 34*h(r). Let v(c) = 2*c. Give a(v(y)).\nAnswer: -4*y + 3234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be 10\/4*(-36)\/(-5). Suppose -13*a = -i*a + 80. Solve -3*k - k - a = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -27 = -434*y + 438*y + 5*f, 0 = 2*y - 5*f - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*y = 21*y. Let a(f) = 3*f. Let p be a(-1). Sort -1, y, p in descending order.\nAnswer: y, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10\/(-45) + (80\/(-99))\/(-2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h\/((h*h\/h**16*h)\/h))\/h)**5*h**(-3)*h*h*h**11*h assuming h is positive.\nAnswer: h**86","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v be 5\/(3 - 15\/6). Let o(f) = -f**2 - 5*f + 156. Let g be o(-15). What is the greatest common divisor of v and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (11985\/(-34))\/47*(-8)\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from geggmmgggmmigngggkem. Give prob of picking 1 e, 2 g, and 1 i.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 306943929?\nAnswer: 3, 34104881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 150*(280\/(-176))\/35*(-2)\/(-5).\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -217809 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 217 and 186?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 + 2.31. Let p = -0.02 + d. Let i = p - -0.01. Which is the smallest value? (a) -1 (b) -1\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) be the second derivative of -t**4\/48 + t**3\/24 + t**2\/4 - 6*t + 4. Let n(r) = 0. What is r?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the second derivative of 23*x**4\/12 - x**3\/3 - 21*x**2\/2 + 16*x + 3. Differentiate r(n) with respect to n.\nAnswer: 46*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 164 - 22. Let h be ((-56)\/(-10))\/((-6)\/(-15)). Find the third derivative of -z*q + h*q**3 - 41*q**2 + 142*q wrt q.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1 - 0)*(0 - -5). Let s be (m\/5)\/((-2)\/(-8)). What is the highest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (290\/20 - 14)\/((-2)\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 792636802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 106802074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 92056 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: What are the prime factors of 14770?\nAnswer: 2, 5, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*j - 4*j = 10. Suppose -3*x = 3*v, -x + j*x = 3*v. Which is smaller: x or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 3*m + 5. Let x be r(7). Let p = x + -22. Suppose -3*y - p*s + 131 = 0, 2*y + 2*s - 86 = -0*s. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = 7*i + b, 0 = 4*b + 16. Factor 3\/5*c**i + 2\/5*c - 2\/5*c**3 + 0.\nAnswer: -c*(c - 2)*(2*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-921)\/(-2))\/((-20)\/40). Let r = -893 - i. What is the highest common factor of 6 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 less than or equal to -93\/239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4719?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 83\/350920068 and -37\/8629182.\nAnswer: 1052760204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(1*sqrt(102) + sqrt(102)) - (-4*(sqrt(102) - sqrt(102)*4) + sqrt(102)))\/((4*sqrt(18)*2)\/(sqrt(12)*2)).\nAnswer: -21*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6*i**2*r**2 - i**2*r + 432*i**2 - 6997*i*r**2 + i*r - 4*i + r**2 wrt i?\nAnswer: -12*r**2 - 2*r + 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 24 = 5*g. Calculate the smallest common multiple of 2 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21613 take away -2113890.186?\nAnswer: 2092277.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*g + 48 + 7 = 0. Solve 0 = 5*d + 25, -4*d - 35 = g*u - d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -316 - 5*r + 316.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - (10 - (25 - 17 - (0 + -1)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 29 (c) -2\/11 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 2 = -4. Let h be 2*(-3)\/((-3)\/k). Let u = 11 + h. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuwruuwwrwwwuww.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -98 + 163 + -181 + 99\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f**(-4\/13))\/(f\/(f\/(f\/(f*f*f**(-30)\/f)))))\/((f*f**(-2\/9)*f)\/(f\/f**(-2\/49))) assuming f is positive.\nAnswer: f**(-172246\/5733)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 11.0329 hours?\nAnswer: 661.974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -12 - -16. Suppose -3*a = -i*a + 26. Calculate the remainder when 101 is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 + (-8)\/(-3))*(82 + -79). Solve -p + 5 = 4*u - g*u, -20 = -5*p + 4*u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -782.255592 and 941880?\nAnswer: 942662.255592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from uvdvdlvdvsbusd.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 989789501 to the power of 1\/3, to the nearest integer?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -12 or -5627\/503?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - -47 - (0 + 18 - 36)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = -3*r + 199, 4*d + 125 = -2*r + 527. Is (d + -102)\/(1\/(-7441)) 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 910 and 22505?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 22\/(-297)*(-9)\/(-3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9.18 + -9. Let r = 0.45 + q. Round r to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 826334 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1667951, 1667968, 1667985, 1668002?\nAnswer: 1668019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 12*d**4 - 63*d**3 - 159*d**2 - 201*d - 72. Let k(t) = t**4 - t**3 - t. Let g(v) = 15*k(v) - u(v). Determine r, given that g(r) = 0.\nAnswer: -12, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in u - 1 + 2 - u - 393*u**2.\nAnswer: -393*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 1\/64 of a milligram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*l**2 - 6*l**4 + 5*l**2)*(-2 - 1 + 1)*(-4 - 9 + 16).\nAnswer: 36*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -2*l + 9. Let x be i(7). Let h(d) = -4*d - 18*d**2 - 2 + 17*d**2 + 0 + 1. Determine h(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 94862934?\nAnswer: 2, 3, 19, 92459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 29, -1, 343, 2 in descending order.\nAnswer: 343, 29, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**3 + 8*d**2 - 15*d + 7. What is a(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 163131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (358\/12)\/(-179)*(3\/8)\/1.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the second derivative of -w**4\/6 - w. Let m(s) be the third derivative of 0*s**4 + 0 + 1\/12*s**5 - 7*s**2 + 0*s + 0*s**3. Determine m(f(l)).\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -64 + 60. Which is the second smallest value? (a) v (b) 5 (c) 2\/7 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13 - 11 = -4*p - 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -762237.23099936 - -762237. Let q = o + 0.231. What is q rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: What is (59085\/(-2525))\/((-65)\/(-150))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-six fifths of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r = 8*r + 32. Let b be 117\/(-6)*r\/6. Let j = -29 + b. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((120\/18)\/1)\/(128\/24 + -6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 849630.\nAnswer: 2, 3, 5, 127, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**3 - 14*w**2 - 10*w - 2. Let k = -709 + 696. Determine s(k).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -4*j**3 + 158*j**2 - 63*j - 134. Let k be i(31). What is the greatest common factor of k and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from lvblvvvllml.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w be 9*6\/9*(-127 + -2). Which is smaller: -779 or w?\nAnswer: -779","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*s + 41*s = 19*s + 1060. What is the greatest common factor of s and 1490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -52.479 and -116.\nAnswer: -168.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -151949*y - 118205?\nAnswer: -151949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -95, 5, -4, -1 in ascending order.\nAnswer: -95, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = f - 994, f - q = -2*f + 2982. Suppose -5*n + f = 274. Let g = -194140 - -194158. What is the highest common factor of n and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**3 + 6*m**2 + 6*m + 3. Let k be (-2)\/12 - 279\/(-54). Suppose -4*i = -5*f - 28 - k, -2*i - 21 = 5*f. Calculate t(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 t and 1 f when four letters picked without replacement from ttttttfttfttttttftf?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 39336931?\nAnswer: 823, 47797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -0.2524706 - 9.96\nAnswer: -10.2124706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 2111*x. Let l(h) = 83600*h. What is l(c(k))?\nAnswer: 176479600*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 6 = -0*r. What is the tens digit of 159\/12 + r\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11432 is divided by 1427?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:03 PM and 7:35 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -p - 1 = -13*g + 14*g, -2*p + 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 48 and 5344?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 7 + 1 = 0. Let y be 0 + f + 2 - 4. Let n = -1 + 4. Put n, -5, 7, y in increasing order.\nAnswer: -5, y, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 22\/72*(-492)\/(-2706)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 10*y + 854. Let j be d(-85). Let k be 6\/(-27) - (-76)\/18. Solve -4*v + 4*m = -16, k*m = -3*v - m + j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 64 and 1892096.\nAnswer: 1892096","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: What is ((-384)\/10)\/(-3) + -13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-44)\/(-12))\/11*(-6 + 19245).\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -n + 66 = -2*s, 204043*n = -4*s + 204038*n - 160 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -30 + 10. Let y = a + 25. Solve -y*g + 15 = -0*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -119 - -4?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 50*v + 88*v - 53*v in the form n*v + t and give n.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00039416 rounded to five decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 126*v - 129*v = 3*i + 9, 2*i + 5*v = -24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(243))**2*-1 - ((sqrt(24) + sqrt(72)\/sqrt(3))\/sqrt(8) + (0 + sqrt(3) + -3)**2).\nAnswer: -255 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(2) - sqrt(22)\/sqrt(11)))**2 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 14? (a) -1640\/13 (b) 4 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.045 - -47.045. Which is the nearest to -1? (a) v (b) -2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 4*m + 301 + 30 = 0, m + 67 = x. Suppose 0 = -5*u + 15, -2*s + s = -u - 30. What is the remainder when x is divided by s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4597209.\nAnswer: 3, 170267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 39070*g**2 - 807*g + 559534385.\nAnswer: 78140*g - 807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 3366186 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = -337 + 937. What is the derivative of -t*a + 42 - 149 + a - 74*a wrt a?\nAnswer: -193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -29574983*x**4 + 98*x + 976929.\nAnswer: -354899796*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*l**4 + 22*l**3 + 272*l**2 + 608*l.\nAnswer: -2*l*(l - 19)*(l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -4494, -9334, -17406, -28710, -43246, -61014?\n\"Answer: -1616*r**2 + 8*r - 2886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 57.51 rounded to 0 decimal places?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 7*y = -12. Let v(p) be the second derivative of 0*p**3 + 0 + 0*p**y - 3*p**2 - 5*p + 3\/20*p**5. What is the derivative of v(s) wrt s?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**28*f*f)\/f**(-13\/2))\/(f\/(f\/f**(16\/9))*f**18))**(-11) assuming f is positive.\nAnswer: f**(-3311\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 983889.1 millennia to years.\nAnswer: 983889100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is b3 + -9cc?\nAnswer: -919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -203812 + 203808. Suppose -8 = -4*n - 44. Which is the closest to 1? (a) p (b) n (c) -2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t**2 + 80*t - 1357. What is y(56)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5788 - -6546. Calculate the greatest common divisor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 165, 253, 517, 1053, 1957?\nAnswer: 3325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*m - 4*r - 123 = -41*m, 2*r - 164 = -4*m. Solve -16 = -4*h + 5*u, -44*u = 4*h - m*u + 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v, 1 b, and 1 s when four letters picked without replacement from {y: 10, b: 1, v: 4, s: 5}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the second derivative of 0*j**3 + 3*j**2 + 0*j**6 - 3\/28*j**8 + 0*j**7 - 3*j - 11 + 1\/2*j**5 + j**4. What is the third derivative of q(o) wrt o?\nAnswer: -720*o**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 177, 693, 1553, 2757, 4305, 6197, 8433?\n\"Answer: 172*y**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 4*v - 5. Let f(c) = 4*c - 4. Suppose 175*y + 8 = 177*y. Calculate y*f(h) - 3*p(h).\nAnswer: 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the second derivative of -5*z + 0*z**5 - 2\/3*z**3 + 0 + 0*z**6 + 0*z**2 + 1\/42*z**7 + 0*z**4. What is the second derivative of a(m) wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 10 = 0, -2*s - 5*n - 76 = -s. Calculate the common denominator of -51\/10 and (12\/(-16))\/((-18)\/s).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 97717.2295581 and -0.0306.\nAnswer: 97717.1989581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 + 5 + 9 + 0 - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c\/(c\/(c*(c**(-5)*c*c)\/c*c)*c))*c*c**(-2\/63))\/(c*c*c**(-12)*c*c*c)**(-1\/12) assuming c is positive.\nAnswer: c**(1105\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in 2\/5, 5, -0.01, 0.5, -3\/5, 7\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 39 - -1. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -39630.7 and 118.3.\nAnswer: -39512.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 23*z - 81*z - 116 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 2105041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -279*f**2 - 2*f**4 + 2*f - 361*f**2 + 6 + 675*f**2 + 2*f**3 to g*f + m*f**3 + v*f**2 + l*f**4 + d and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2000)\/84)\/(-20)*(-342)\/190?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -1313*r - 1301*r + 2541*r = -4891 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 39679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 3*g**3 + 0 + (-2*g + 3*g + g)*(-2*g**2 + 4*g**2 - 3*g**2) - g**3 + 3*g**3 + 2*g**3 + 573 - 573 + 76*g**3)*(0 - 1 + 0).\nAnswer: -81*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**2 - m + 2. Let n(r) = 3*r + 11. Let o be n(-5). Let w be 1\/(-2 + (-6)\/o). Let z be c(w). Solve 3*j = 3*u + 15, -u = j - z*j + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 337988941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*l - 2*l**3 - 4*l)*(-l - 2*l + 4*l) + (l + 5*l - 4*l)*(6*l + 2*l - 3*l)*(-3*l**2 - 1 + 1).\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -226951 and 0.5?\nAnswer: -113475.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 4 = 18. Suppose p*y - 45 - 179 = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 27109 - 460855\/17. What is the nearest to -19 in 0, 6, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z + 3. Let x(o) = -o**2 + 17*o - 20. Let g be x(14). Suppose -3*l + 21 = 3*y, -4*l + 0*l - y + g = 0. What is the units digit of t(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -14528\/57351 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p\/(p*p**(2\/7))))**(-2\/75)\/(p**(-2\/9)*p**(-1\/4)))**(-5) assuming p is positive.\nAnswer: p**(-2759\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -6*w. Suppose -5 = 3*s + 1. Let p = -27 + 30. Let v be -1 - -1 - (s + p). What is b(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5.033 + -0.033. Which is the smallest value? (a) 2\/5 (b) u (c) -5 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.9 - -0.1. Which is the second biggest value? (a) -2\/7 (b) u (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 405168 and 2469648?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j be -3 + 6 - (-710)\/(-278). Let f = j + -11075\/834. Find the common denominator of -63\/10 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (26 - 46) + (2 - -1) - 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 76516*a*m**4 + 95*a*m**2 + 276492*a - 2*m**4 wrt m?\nAnswer: 1836384*a*m - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -1. Let j(i) = -19*i**2 + 2. Let v = 31 - 29. Let d(m) = v*q(m) + j(m). Let t(f) be the second derivative of f**4\/6 - 20*f. Determine t(d(r)).\nAnswer: 722*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6218061mg to nanograms.\nAnswer: 621806.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -10 + 1 + (2 - (-1 + 6)) + 46?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(114) - (-4*(sqrt(114) + (sqrt(114) - (sqrt(114) + sqrt(114)*-3)) + sqrt(114)) - sqrt(114)))*5)\/((sqrt(6) + sqrt(54)*-6)*-1)*-3.\nAnswer: -330*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 25*p**3 + 4*p - 1. Let y(g) = -24*g**3 - 5*g + 2. What is 4*f(r) + 3*y(r)?\nAnswer: 28*r**3 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -78, -98, -118?\n\"Answer: -20*o - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-17*s - 14*s + 8 + 28*s - 2*s + 7*s + 6*s + (3*s - 2*s - 3*s)*(2 - 5 + 2) - 3*s + s + 4*s - 3 + 2*s + 3 + 3*s - 4*s + 0*s)*(-2*s + 5*s + s).\nAnswer: 52*s**2 + 32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.08478 * 154912.\nAnswer: -13133.43936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 47 by -2812864.\nAnswer: -47\/2812864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-z + 0*z + 0*z)*(0*z + 3*z - 2*z) + 3*z**2 - 3 + 1 - 5*z**2.\nAnswer: -3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k - 20, -5*b + 3*k + 7 + 11 = 0. Suppose 5*p - 2*p = b. Suppose c = p*c - 22. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 4*h - z, 2*z - 12 = h - 3*z. Suppose 2*v + 2*t = -2899992, -h*v - 3446214 = -t + 903790. Round v to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -5732 - -2\nAnswer: -5730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/20*14800\/185?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 25 = -g. Let t = 16 + -8. Solve 0 = -2*o + g*d - 9, 0 = -3*o + 2*d - t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*w**3 + 35*w**4 - 5*w + 3933 - 1310 - 1304 - 1321 - w**2 as n*w + a*w**3 + s + d*w**4 + x*w**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 11*d**2 + 2*d + 5. Suppose 0 = 9*p - 3*p + 18. Let j be r(p). Let b = j + -1. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 767 - 737 = 6*y. Suppose 2303 = y*g - 2637. Is g a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -22*i + 286. Let b be y(13). What is the second derivative of 25*n + 50*n**3 + 57*n + b*n - 14*n wrt n?\nAnswer: 300*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -20 - -13. Let n be (2\/u)\/(3\/(-21)). Determine y so that 3*y**5 + 1 + n*y**3 - 2*y**2 - 4*y**5 + 0*y + y - 2*y + y**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g**(-1\/4)*g)*g*g)\/g**1*(g**1\/g*g)**(7\/9))**46 assuming g is positive.\nAnswer: g**(1679\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -7 + 19. Let s be c\/(-9)*(-9)\/2. Solve -5*t - s*y + 22 = -2*y, 0 = 3*t + 5*y - 21 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (513\/(-15))\/(21\/(-70)). Let w = k + -103. Calculate the highest common factor of 352 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2\/3181 or -11?\nAnswer: -2\/3181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1314 and 14939085?\nAnswer: 89634510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 11 + 16*p + 15 - 21 as j*p + m and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4443157ug to nanograms.\nAnswer: 444.3157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + b**3 - 1 - b**3 + 0*b**3 - b**3 + (-4*b**3 + 2*b - 2*b)*(-1 - 4 + 3) - 2*b**3 + 0*b**3 - 2*b**3)*(11*b**2 - 32 + 32).\nAnswer: 33*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**4 - 54998*r**3 + 2423784*r**2.\nAnswer: -2*r**2*(r - 44)*(r + 27543)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 24117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -139 + -90 + (255 - 91).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6*o**2 - 6*o**5 + 20*o + 31*o**5 - 23*o**5 - 264*o**3 wrt o?\nAnswer: 120*o**2 - 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y**3 + 12*y**2 - y - 1. Suppose -3*u = 5*p + 60, -2*p - 24 = -14*u + 13*u. Determine j(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 61\/41756 and 37\/989296.\nAnswer: 12860848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 114*v - 223*v + 39 + 106*v. Let k be f(11). Let p(z) = -z**3 + 6*z**2 + 5*z - 9. Determine p(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 8, p: 4, k: 5}. What is prob of sequence ddd?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 41352 by 10338.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 4*u**3 - 7*u - 29. Let d(y) = -7*y**3 + 12*y + 60. Let o(n) = -5*a(n) - 3*d(n). Calculate o(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 2 - 6 = 0. Let h be (6\/9)\/(l - 0). Find c, given that h + 2\/3*c**2 - 4\/3*c = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4401, -35573, -120511, -286203, -559637, -967801?\nAnswer: -1537683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 62664.91 millilitres?\nAnswer: 62.66491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 8*26\/12*(-40)\/(-15)*(-252)\/(-128)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4541959.\nAnswer: 743, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3864067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify t*t**(1\/19)*t*t**7 assuming t is positive.\nAnswer: t**(172\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2619 + -1220. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (13\/(-91)*5\/(-4))\/((-296)\/3552).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 10*g - 2773*g**2 + 1346*g**2 + 1320*g**2.\nAnswer: -107*g**2 - 10*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 3*x**2 + 22*x + 10. Let f be m(-7). Let n be (-48)\/(-9) + (-1)\/f. Put n, 4, 2 in increasing order.\nAnswer: 2, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -11, -44, -2, -5, 6 in decreasing order.\nAnswer: 6, 0, -2, -5, -11, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be 182\/5 + 20\/(-50). Suppose -q*u = -34*u + 104. Let w = 1 - u. List the prime factors of w.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 1078*h + 7 + 14 - 1068*h + h**2 + 9. What is x(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -72, -18, -7, -4, -128, -5 in increasing order.\nAnswer: -128, -72, -18, -7, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4929*v - 206409 = -2672*v + 1947*v + 70637 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the second derivative of 4*n**3 - n**2\/2 + 159*n. Determine m(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-3600)\/(-168))\/(984\/(-987) - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/5 in 3, -9\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 3, t: 9, j: 4, b: 2}. Give prob of sequence jc.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q**3\/3 - 13634270*q**2 + 40902815*q\/3 = 0. Calculate q.\nAnswer: -8180563, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -0.9 times 0.06242609\nAnswer: -0.056183481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 69375696 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 20 = 2*j, 0 = -5*j + j - 3*a - 7. Let o be -2 + -3 + j - -1. Let c be 2\/(4\/o - -1). Solve c*y + 14 = 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-15)\/10*(-464)\/861. Let d = z - -2\/41. Factor 2\/7*b**2 - 6\/7*b + 2\/7*b**4 + d*b**3 - 4\/7.\nAnswer: 2*(b - 1)*(b + 1)**2*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = -36368 - -36370. Which is the second smallest value? (a) -5\/23 (b) 1 (c) 6 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1157502503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 327 minutes before 7:48 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 15 + -13. Solve -m - 1 - x = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -14 times 12123225\nAnswer: -169725150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in 0.2, -4, -0.024, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 340234291 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 58*j**3 - 122*j**2 - 144202?\nAnswer: 174*j**2 - 244*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-1 + 3)*-1)\/2. Let i = -68 - -39. Let j = -86\/3 - i. Which is greater: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -10291*f**5 - 2*f**3 + 443407*f**2.\nAnswer: -617460*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -627*r**3 + 6 + 21*r**3 - 6.\nAnswer: -606*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the first derivative of 0*v**2 + 0*v**5 + 0*v**6 + 0*v**4 + 0*v + 113\/7*v**7 + 145 - 73\/3*v**3. Find the third derivative of a(k) wrt k.\nAnswer: 13560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -12*t**2 - t + 2. Let d be k(2). Let s = d - 0. Let y be s\/(-20) - (-4)\/(-10). Is 2 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29790226 at least 29790231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -5 greater than -146\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -6369, -6372, -6375, -6378, -6381?\n\"Answer: -3*h - 6366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3\/(-9) - 553\/(-3). Let c = v + -121. Suppose -3*i + 51 = i - 5*x, 0 = -5*i - 2*x + 39. What is the highest common divisor of i and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1386\/117 - 0) + -12?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 4174 = -g. Let p = g - 1198. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 115 a factor of 18378689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2850)\/(-1938)*(-96)\/120.\nAnswer: -20\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -45454 (base 8) to base 9\nAnswer: -28352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*q = -3*i + 59, -3*i - 4*q - 20 = -51 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -283 + 283. What is the first derivative of 113 - 57 + 6*w - 70 + 16*w**3 + n*w wrt w?\nAnswer: 48*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - a + 12 = 0, g = -4*a - 7 - 2. Suppose 0 = 5*p - 9 - 71. Solve 2*o + 3*o + 5*u = 35, g*o = -2*u + p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 - 6)*(1 - 3 + 4)*(-1 + l + 1).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -425 = 2215*q - 2300*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -2554.\nAnswer: 1\/2554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 3*t. Let c(k) = -2*k**2 - 5*k. Let a = -5 + 15. Let p(g) = -g**2 - 3*g. Let f be 73\/365 + (-2)\/(30\/93). Let d(r) = a*p(r) + f*c(r). What is z(d(s))?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 716796 is divided by 660.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uer when three letters picked without replacement from recqurpq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 16953 + -373045\/22. Let m be ((-1)\/9)\/(1\/(-159)). Let f = m + 77\/6. What is the common denominator of s and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -7\/26, 56, -6217?\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 261.01 + -261. Let m = 0.11 - s. What is the nearest to 0 in m, -1\/2, -5, -1\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2680.95 - 2681. Let p = 8 + -5. What is the nearest to -1\/3 in p, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*((sqrt(117) + -1)*4 + sqrt(117)) - (sqrt(117)*-2 + -2 + -2))**2.\nAnswer: -576*sqrt(13) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 492*d**2. Let k(p) be the third derivative of p**5\/2 - 5674*p**2. Determine k(x(h)).\nAnswer: 7261920*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49223 is divided by 64?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 63\/24880 and 19\/824150.\nAnswer: 6593200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/(20\/(-3)))\/(2\/16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 121765533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00110941 to five decimal places.\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/7, 2\/15, 3\/212, 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 329 = -58*o - 172 - 427 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 223 + -91. Let z(x) = -3*x**3 + 5*x**2 + 43*x + 98. Let v be z(-4). Calculate the highest common factor of v and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 15871, 15838, 15805, 15772?\n\"Answer: -33*l + 15904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 422055?\nAnswer: 3, 5, 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 36*y - 36*y + 1 - y**3 with respect to y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43587993 is divided by 555?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 129*g**2 - 5*g**3 - 48*g**2 + 138*g**3 - 81*g**2.\nAnswer: 133*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2361 - 1177 + 26*x - 39*x - 1184.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p + 4*p - u = 3, -86*p + 86*p = -u + 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*-2*sqrt(130))\/(sqrt(10)*2*4) + 3.\nAnswer: 3*sqrt(13)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the first derivative of 8*v**3 + 18*v + 5\/3*v**4 + 18*v**2 + 2\/15*v**5 + 6. Solve l(u) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 2*k - 29 = 2*w, 3*w - 92 = -k. Let b = -18 + w. Suppose -10 = -b*j + 8*j. What is the highest common factor of 5 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1345 and 1715580.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -11 + (2 - -5) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-91)\/(23296\/54624))\/(-3) + 9\/(-8)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 63 = -17*z, 28 - 25 = 3*s - 3*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(-48)\/(c\/(c\/((c\/(c**1*c))\/c)))*((c*c*c**(1\/24)*c)\/c)**(2\/11) assuming c is positive.\nAnswer: c**(-6023\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 11) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3993544755?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 61359.58 rounded to the nearest 1000?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -112 = 4*n - 88 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 4.15375ml in litres?\nAnswer: 0.00415375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 16 + 1 = 0. Does 4 divide (-2 + 10 - o)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y - 8*n + 15 = -3*n, 0 = -y + 2*n - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = -0*v - 10. Suppose t + 3*g = 3, -23 = 3*t - 4*t + 2*g. Calculate the lowest common multiple of t and v + 24 - -3 - 5.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 84206633741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 92 + 84 = 4*s. Suppose 4 = -2*m + s. Solve 5*r - m = 3*f - 2, -5*r + 10 = 5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.66 rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0011711647 to 5 dps.\nAnswer: -0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that -o**4\/5 + 1356*o**3\/5 - 462363*o**2\/5 + 1799512*o\/5 + 9596496\/5 = 0.\nAnswer: -3, 7, 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the third derivative of t**6\/24 + 5*t**5\/6 + 35*t**4\/6 + 20*t**3 + 709*t**2. Determine x, given that p(x) = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from {h: 8, e: 1, v: 2, t: 7}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 39*y**3 - 2*y. Let o be g(-2). Let c be 3\/4 - 1 - o\/16. Solve 3*v - 3*l = 21, 4*l - 3*l + c = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = -g - 60. Let l = 62361 + -62364. Put l, g, 0 in increasing order.\nAnswer: g, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w**2 + 4*w. Let k be j(-6). Let s = 9 - 6. Suppose 6*i = s*i. Solve -k = 3*q, i = -0*u + 4*u + 4*q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21*4\/12 + (-2 - -3 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 5\/14, 19\/205, 4.\nAnswer: -5, 19\/205, 5\/14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 4*v - 1030. Let z(o) = -2*o + 514. Calculate -2*t(q) - 5*z(q).\nAnswer: 2*q - 510","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-283715)\/(-262793) + 1*-1. Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6.8 times -219453?\nAnswer: -1492280.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yvy when three letters picked without replacement from ggygvgyggvvkykg?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 92*d + 2664 = -56*d for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -2*x**3 + 3*x**2 + x. Let z be c(-3). Let y = z + -46. Calculate the remainder when y is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the third derivative of x**5\/15 + 7*x**4\/24 + 4*x**2. What is the second derivative of h(i) wrt i?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 146*a - 3855 = -111*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 180343?\nAnswer: 23, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4819071 is divided by 757.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 53837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the first derivative of 3*j**5\/25 - 93*j**4\/10 + 1441*j**3\/5 - 4464*j**2 + 34560*j - 4475. Find f such that h(f) = 0.\nAnswer: 15, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 6*w + 40. Let t be p(-6). Suppose -2*a = -0*a - 4*m + t, -a + 23 = 3*m. Solve -g - g = a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**2 - 3*z + 2. Let k be n(1). Solve k = -2*y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is b in 2*b**4\/15 - 154*b**3\/15 + 3284*b**2\/15 - 3648*b\/5 - 12096\/5 = 0?\nAnswer: -2, 7, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -34 - -27. Let z = 20 + p. Suppose -9*m + z + 14 = 0. Let d(q) = -q**2 + q + 4. Give d(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(2160) + 2*sqrt(2160)*5))\/(3*(sqrt(480)\/sqrt(10) + sqrt(3) + sqrt(18)\/sqrt(24))).\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the second derivative of 0 - x + 0*x**3 + 0*x**2 + 19\/12*x**4. Let c(d) = d + 10. Let n(k) = 3*k + 40. Let y(h) = -4*c(h) + n(h). What is y(m(o))?\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2238*p + 9747 = 2189*p - 17006 - 17517 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jiiikjkjzd. What is prob of sequence zdk?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 90 + -93.15. Let g = -0.85 + l. Sort -13, g, -2, 0.2 in descending order.\nAnswer: 0.2, -2, g, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:00 PM and 3:24 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 128\/32 + 41\/(-10) - 2385\/150\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -7394, -1, -5, 10, -2, -3 in decreasing order.\nAnswer: 10, 1, -1, -2, -3, -5, -7394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01 times 361?\nAnswer: 3.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -37, -3\/7, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*c**2 + 59*c**2 + 196*c**2 + 259*c**2.\nAnswer: 545*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 3*j - 1187 = 1284, -v - 2*j + 2481 = 0. Let p = 7528\/3 - v. Let d = 37 - p. Which is bigger: 6 or d?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d + 252 = 7*d - 4*i, 4*d = -5*i + 465. Calculate the greatest common divisor of 75 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 10 = 11*h. Does 7 divide 32 - (h + 1 - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (72\/(-6))\/(3\/(6\/(-4)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k**3 + 92*k**2 - 911*k + 442. Determine m(-101).\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -9*z + 20. Let n(w) = 22*w - 50. Determine 12*b(f) + 5*n(f).\nAnswer: 2*f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the third derivative of x**4\/24 - 3*x**3 + 9*x**2. Let s be m(20). Solve -s*t + 9 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) -58 (c) 2\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 2*n**2 + 55*n - 110. Let t be a(-33). What is the greatest common factor of t and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 1\/5 (c) 1 (d) 2794\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 11*q**3*x**4 + 3*q**3*x**3 - 397*q**3*x - 10*x**3 - 3*x**2 wrt x.\nAnswer: 264*q**3*x + 18*q**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10 + 6 - 708*y**3 - 18 + 2.\nAnswer: -708*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 15 + 81 = 0. Suppose 5*s = x - 121, -19 = s - x + 6*x. Let u be 10 + -1 + s\/(-8). Calculate the greatest common factor of q and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 55 + 26 = i, 5*s - 352 = -4*i. Solve i*q + 24 = 99*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 2834, 2848, 2878, 2930, 3010, 3124?\n\"Answer: q**3 + 2*q**2 + q + 2830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 23058363 divided by -37\nAnswer: -623199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p**2 + 342*p + 18785. What is v(-69)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-11)\/(d\/d**12) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 46 - 45.999955. What is i rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-4))\/(405\/(-162)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, s: 1, f: 2, x: 1, n: 3, e: 12}. What is prob of picking 1 f and 1 n?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -7222*x**3 + 90984*x**2?\nAnswer: -43332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20568809 is divided by 77912?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, a: 1, l: 2, g: 3}. Give prob of sequence gal.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence px when two letters picked without replacement from xtmps?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {p: 9, z: 5}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 2*l**3 + l**2 - 6*l - 16. Let p(a) = 10*a**3 + 4*a**2 - 24*a - 65. Give -9*i(t) + 2*p(t).\nAnswer: 2*t**3 - t**2 + 6*t + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8)\/36*3*3\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 752850800 to the power of 1\/3, to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the second derivative of 0*s**4 + 0*s**5 + 0*s**6 - 1\/42*s**7 + 4*s + 0*s**2 + 0 + 5\/6*s**3. Find the second derivative of v(a) wrt a.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3748, -3749, -3750, -3751, -3752?\nAnswer: -3753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve l = -4*o + 30, -247 + 239 = -o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*c - 64 + 64.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7.3338744 - 48.6661302. Let b = o - -56. What is b rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2461545065 rounded to 5 dps?\nAnswer: -0.24615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is (-3 + 4199)\/((-408)\/(-47022)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = -0*v + 3*v + 7, -3*v = 3*q + 9. Let a be (-6)\/q + (-1 - -2). Solve 0 = -4*b + b - 4*r - 9, r = a*b + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2044770 divided by -13?\nAnswer: 157290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -3, -2, 22?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*f = 19*f + 9. Suppose -4*h = -5*x - 4, -24 = h - 3*h - f*x. Suppose 4*l + 25 = 193. Calculate the greatest common factor of h and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0007320976941 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -12, -25, -38, -45, -40, -17?\n\"Answer: n**3 - 6*n**2 - 2*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (2070\/(-552))\/((-1)\/(2*-2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 60 and 487751520.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 3*x + 325 = 2*x, 4*x = -3*w + 196. Calculate the remainder when 17 is divided by (-18)\/45 - w\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = 2*u + 16. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence op when two letters picked without replacement from {l: 5, o: 1, p: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h + 112 = 0, 3*r + h + 142 = -6*r + 10*r - 4*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.51 + -1.510292. What is d rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 12266 + -3338?\nAnswer: 7827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -26*i - 12. Give c(5).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 177171769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*j = -j + 224. Let a = j - 26. Solve -3 - a = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 71774.06 decades to centuries.\nAnswer: 7177.406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 0 + -21c?\nAnswer: -21c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of 2.3 and 1107843.\nAnswer: 2548038.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that -5*o**5 + 15*o**3 - 10*o**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 8.646299 rounded to 2 decimal places?\nAnswer: 8.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = 2366 + 2714. Let k = -19 - -78. What is the remainder when k is divided by a\/(-52) + 144\/312?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-5*1*sqrt(208)*-5)**2.\nAnswer: 4680000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -53 + 55. What is the second derivative of 466*y**v + 17*y**3 - 466*y**2 - 9*y wrt y?\nAnswer: 102*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -73? (a) 0.1 (b) -0.2 (c) -0.5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by -4941433.\nAnswer: -4\/4941433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of -2.754897 and 0.3.\nAnswer: -0.8264691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the second derivative of u**4\/12 + u**3\/3 + 4*u. Let f(c) be the first derivative of -5*c**3\/3 - 9*c**2\/2 - c - 146. What is 2*f(q) + 9*w(q)?\nAnswer: -q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2676899 is divided by 3120?\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((2*sqrt(190)*-1)\/sqrt(10)*-3)**2.\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*c + 2 = 106. Let z(b) = 106*b - 129. What is the tens digit of z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55*g - 54*g = 22. What is the least common multiple of 48 and g?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 101090989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 2*j - 3*j = 10, -3*m - 2*j = -13. Let f be 4\/(-12)*m*-3. Suppose f*s - 7*s = -3940. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10021.\nAnswer: 11, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.8 * 2462.\nAnswer: -1969.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = -12 + 13. Calculate the highest common divisor of w and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1349359000 rounded to the nearest one million?\nAnswer: -1349000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify p\/(p**(1\/10)*p)*p*p*p*(p\/(p**9\/p))\/p*p**(-3\/16)\/p**(-17) assuming p is positive.\nAnswer: p**(937\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.027 * 60754.4.\nAnswer: 1640.3688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 34132 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of -2 - (3 + -3 + -1484)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 740587 to the power of 1\/2, to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 126946 times 0.3?\nAnswer: 38083.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, -87, 0, 3, -2\/9?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.5 and -492439.\nAnswer: -492439.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 29, 49, 83, 137, 217, 329, 479?\n\"Answer: g**3 + g**2 + 10*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-26)\/6 + 99\/(-27).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(304) + (sqrt(304)*1 + 4)**2 + sqrt(304)).\nAnswer: 40*sqrt(19) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 100768?\nAnswer: 2, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44*v**2 + 425*v + 0 - 1507*v - 4.\nAnswer: 44*v**2 - 1082*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*a - 5*f - 57 + 22, 2*a + 3*f + 22 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i*i\/i**(-7)*i*i)\/(i*i\/i**(4\/11))*i**(1\/5)\/i*i*i\/i**0)**(-21))**(-28\/3) assuming i is positive.\nAnswer: i**(113876\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, e: 7}. What is prob of picking 1 e and 1 a?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**2 - 14*v + 62. Let s be i(9). Sort s, -2\/9, 4.\nAnswer: -2\/9, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3764 + 6984 = -397*b - 1050 - 7640 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 + 5. Let i be 1 - w - -1 - -8. Solve o = -o + i, -o + 7 = 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from piypiyeiuegeup. What is prob of sequence ii?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -142 or -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 80 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -118098169*f**4 - 829260*f - 97.\nAnswer: -1417178028*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 177243616 divided by 5456?\nAnswer: 32486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 14246166 and 4114?\nAnswer: 2664033042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.3 - -0.8. Let h = 0 - -0.4. Let w = x - h. Which is the second biggest value? (a) w (b) -4\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 269*f**3 - 9 + 235*f**3 + 8 + 1 - 499*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3.6 + -0.4. Let h = c - -6. Is -0.3 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that 15668\/9*x + 30685778\/9 + 2\/9*x**2 = 0.\nAnswer: -3917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 21220 = 24*z + 20380 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 159 minutes before 4:18 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 99666.01 decades in years?\nAnswer: 996660.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n = 4*q + 6, 172*q = 177*q + n + 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n**(2\/13)\/n)\/n**(-1\/2))\/(n**(-3)*n*n*n**(-1\/2)))**(-4\/17) assuming n is positive.\nAnswer: n**(-60\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 504 + 11254. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1831 - 5?\nAnswer: 1825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2395 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8459295?\nAnswer: 3, 5, 13, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide (-12 - (-5 - 5073)) + -12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -19231 divided by 16572?\nAnswer: -19231\/16572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aamoadc. What is prob of picking 1 c and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-1221)\/148*(-28)\/21\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6.69*-0.7.\nAnswer: 4.683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -9*k*t**2*z + 16248*k*t**2 + t**2 - 237864*z wrt k?\nAnswer: -9*t**2*z + 16248*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -131 in -1\/3, 4, 1\/28?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that -2*m**5\/11 + 96*m**4\/11 - 222*m**3\/11 - 2104*m**2\/11 - 2520*m\/11 = 0.\nAnswer: -2, 0, 7, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1102333 + 31?\nAnswer: -1102302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w - 12 = 4*c + 8, -w - 1 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -157268*v**3 + v**2 + 598*v - 1547 wrt v?\nAnswer: -943608*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -1445\/3 - 170\/3*s - 5\/3*s**2.\nAnswer: -5*(s + 17)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 121104 is divided by 964?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2860.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -3*b. Let j(q) be the second derivative of 0*q**2 - 4*q + 1\/6*q**3 + 0. Calculate i(j(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(88) + 1*sqrt(88) + sqrt(88) + sqrt(88)))\/(-1*2*sqrt(8))*-3.\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -34 greater than or equal to -169\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -184727, -369554, -554381, -739208, -924035?\nAnswer: -1108862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:38 AM and 10:58 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 2*j = 2*d + 2482, 2452 = 3*d + 4*j. Suppose -22*c + 18*c + d = 0. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9320443 + 2*d**2 - 9320443 - 60*d.\nAnswer: 2*d**2 - 60*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = -836 - -47651\/57. Let a = 12031\/682 - 1105\/62. Which is smaller: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5700450 divided by 93450.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 5*c + 4*c = -2, 5*c = -30. Which is smaller: -138 or i?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -22 + 24. Suppose -3*u - o*u - 60 = 0. Let c = 37 + u. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 17 and 253963?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhhhh. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -7*b**2 + 524*b + 74. Let s be a(75). Which is smaller: -1\/47151 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 76732046.\nAnswer: 2, 38366023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (n - 6*n - 12*n)*(0 - 6 + 0)*(13*n**2 - 5*n**2 - 3*n**2) to z*n**3 + m + c*n + y*n**2 and give z.\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is a09c (base 13) in base 12?\nAnswer: 10957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1602573 to the power of 1\/2, to the nearest integer?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = -96.7 + 96.66. What is the third smallest value in b, 1\/5, -2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-12)\/(-45))\/(6\/(-5)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -15112 (base 6) to base 12.\nAnswer: -1498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 3*r - 20 = 0, -492 = c + 2*r - 510. Let b be 5\/(-5) - (-4 + -1). Solve -n - c*g = g - b, -g = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 55, 160, 313, 514, 763, 1060, 1405?\n\"Answer: 24*d**2 + 33*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 34, 35, 38, 43, 50, 59?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 93 - (91 - (-224)\/504)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 266 is divided by 63.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 45.55129 millennia in centuries?\nAnswer: 455.5129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 3, h: 3, s: 1}. What is prob of sequence uuh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - 2)*(2 + 0 + 2 - 12 + 9 + 41 - 1 + 3 - 1 + (5 + 2 - 5)*(-2 + 0 + 0))*(-11 + 11 - 8*u).\nAnswer: 624*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 55, -1\/3, 3, 46, 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 + -10 + (-5 - (0 - 14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -17, 4, 0.5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 5 = -5*p, 0*z - z = p - 1. Find the common denominator of z + (-158)\/24 + -2 and (60\/1862 + (-18)\/342)*14\/(-4).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 746.76 and 0.009?\nAnswer: 746.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 45020, 90038, 135056, 180074, 225092, 270110?\nAnswer: 315128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve c = 0, 0 = -3*g - 2*g + c + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ujn when three letters picked without replacement from zznuuzzjsjnnsnc?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 0.2, -2.3, -1 in descending order.\nAnswer: 0.2, -1, -2.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that 3*q**5 + 30186*q**4 + 101213646*q**3 + 112988039340*q**2 - 339673066425*q + 226583783250 = 0.\nAnswer: -3355, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 15986.9808 - 15977. What is o rounded to 2 dps?\nAnswer: 9.98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5*h**3*j + 19*h**3 + 3*h*j**2*v + 3*j**2 + 3*v with respect to j.\nAnswer: 5*h**3 + 6*h*j*v + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 169229180 + -169229179.30000049. Let o = -4.7 + 5.4. Let q = o - t. What is q rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -9*l**2 + 5*l - 1. Let m(z) = 14*z**2 - 8*z + 2. Suppose 0 = -y + 40 - 36. Let w be 1\/y + 19\/4. Give w*m(b) + 8*f(b).\nAnswer: -2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-7*12\/84)\/(((-18)\/21)\/(-3)). Let j = -0.06 - 0.2. Let b = j + -0.04. Sort b, 2, o.\nAnswer: o, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-153)\/(-816)*((-26)\/18 - -1). Which is the nearest to 2? (a) m (b) -4\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -141 + 163 - (-27 + -15)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*a, n - 6*n + 80 = -4*a. Let j = n - 27. Let x = -3 - j. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(15)\/((sqrt(5) - -1*sqrt(5)) + sqrt(5)) - (5 + sqrt(3)*1)))**2 - (3*sqrt(6)*3)\/(3*sqrt(2)*2).\nAnswer: 991*sqrt(3)\/6 + 1975\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(4*sqrt(77) + sqrt(77)) + sqrt(77))\/sqrt(7) - (1*sqrt(539) - -2*sqrt(704))**2.\nAnswer: -5819 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54 = -2*l - 22*c + 24*c, 5*l - c = 127. Suppose -2*q = 0, -5*m - l*q + 26*q = -130. What is the least common multiple of 3 and m?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 2 r when three letters picked without replacement from {z: 12, l: 4, r: 3, m: 1}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*z**2 + 4*z**2 - 3*z**2 - 1 + 3*z**2 + 1 + (-3 + 0 - 1)*(-3*z**2 - 10*z**2 + 4*z**2).\nAnswer: 37*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -7\/3 (b) 3 (c) 1.5 (d) 0.1 (e) -0.5 (f) 433\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -25\/183557 and -19\/133496.\nAnswer: 1468456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 22267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 2 + 1)*(10*c + 83 - 83)*(-2 + 2 - c**2) + (0*c + 0*c + c)*(c**2 - 1 + 1) to the form v*c**3 + x*c**2 + u*c + i and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Subtract -4.9 from 1420814.\nAnswer: 1420818.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1216905181.6 minus 1.2?\nAnswer: 1216905180.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 30 or -23?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from chhnxxjcnjxnjjb. Give prob of sequence jjn.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*(-7)\/(-21)*10\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g + 1. Let j(l) = 4*l - 8. Let n(z) = j(z) + 6*r(z). Let a(o) = 6 - 1 - 2. Let w(c) = 16. Let t(b) = 11*a(b) - 2*w(b). Calculate n(q) + 4*t(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -9175195*-0.5\nAnswer: 4587597.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h, 2 y, and 1 q when four letters picked without replacement from {h: 7, i: 1, y: 7, q: 1}.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from tttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = i**2 - 7*i + 102. Let u be r(19). Calculate the greatest common factor of u and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*sqrt(475)*-1 + 0 + sqrt(475) + -2.\nAnswer: -15*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 4008 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w**3 - 17*w**2 - 18*w - 34. Let c be u(-16). Is -2 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 48 minutes after 4:01 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (35\/(-12) - -3)\/(3\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -214*4655.\nAnswer: -996170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*a - a + s - 3, 9 = 3*a + 3*s. Suppose 5*m = -2*d + 4170, -2*d + a*d = -2*m + 1654. Suppose 28*j = 32*j - m. Does 26 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 144 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**2 - 6*y + 8. Let l be d(-10). Let g = 9 + -9. Suppose -7*n + 8*n - 21 = g. Calculate the greatest common divisor of l and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w**4 - 12*w**4 - 12*w**4)*(-2*w + 4*w - 7 - 4*w).\nAnswer: 52*w**5 + 182*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -12*z**4 + 14*z**4 - 3 - 4*z**3 + 3*z**3 - 2*z**2 + z in the form p*z**3 + j + t*z**2 + g*z**4 + l*z and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add 20.1 and -90.\nAnswer: -69.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -31\/8, 3\/8, 0.5 in ascending order.\nAnswer: -31\/8, 3\/8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -1 times -2657458\nAnswer: 2657458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -202330 (base 4) to base 14\nAnswer: -b5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-410)\/451)\/(12\/(-231)). Suppose 25\/2*t**4 - s*t**2 + 15\/2*t - 15\/2*t**3 + 5 = 0. Calculate t.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 81 and 405.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -328c0 - -29?\nAnswer: -32896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1025 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 123, 294, 769, 1704, 3255, 5578, 8829?\nAnswer: 13164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 11450*i + 239253. Calculate g(-21).\nAnswer: -1197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -2*o**2 - o - 6. Let q be v(0). Let h = -254\/5 - -51. Which is the third biggest value? (a) 5 (b) q (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 19*w**2 + 2*w - 2. Let x be o(-4). Suppose 3*i + 288 = -3*a, 3*i + 3*a + 2*a + x = 0. Let z = i + 22. What is z rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a**2 - 101. Let f(p) = p. Calculate f(s(q)).\nAnswer: -q**2 - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2382*w**2 - 2456*w**3 - 2374*w**2 - 2536*w**3 + 4756*w**2 + 4990*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -534.0250663 + -37.9.\nAnswer: -571.9250663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 + 2*p**2 + 400*p**3 + 97*p + 202*p**3 + 94*p**3 + 135*p**3.\nAnswer: 831*p**3 + 2*p**2 + 97*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -17.8 times -0.16?\nAnswer: 2.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 470 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -11215*g**2*i**2 + 9829*g**2*i - 2*i wrt i.\nAnswer: -22430*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7 in 2, -3, -0.5, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = z**3 - 6*z**2 + 5. Let b be d(6). Suppose -9*o + 16 = -b*o, f - 22 = -5*o. Suppose -f*i - 17 = -3*i. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**3 - 22*s**2 - 111*s + 278. Let a be k(26). What is the greatest common factor of 984 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-1660)\/110)\/(672\/3696)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let -p**3\/7 - 59448*p**2\/7 + 951424*p\/7 = 0. Calculate p.\nAnswer: -59464, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5 + 5. Let o be 10\/(-7) + u + 1. Sort 2\/5, o, 0.3 in ascending order.\nAnswer: o, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = -5*z - 91, -4*k + 7*k - 5*z - 129 = 0. Find the third derivative of -166*d**2 + k*d**3 + 324*d**2 - 220*d**2 wrt d.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-31 - -18)\/(-143))\/((-1)\/(-2)). What is the second smallest value in 5, n, 1\/3, 0.11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 146152501 to the nearest integer?\nAnswer: 12089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**3 + 4*q**2 + 5*q + 3. Let g be o(5). Let f be 2\/5*(-15)\/(-6). Suppose c - g = f. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3.65 + 0.65. Which is the nearest to -2\/3? (a) -4 (b) 3\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b + 4*b - 20 = 0. Suppose -b*i = -2*i - 6. Suppose -3*q + 203 = 5*h, i - 6 = q. Calculate the remainder when h is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = -2*b - 6. Let x = 54 + -52. Let q be (-120)\/54 - (-2)\/x*b. What is the smallest value in 2, -1\/2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -113 + 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 4938643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 3 = -5*o, 5*b - 2*b - 9 = -3*o. Solve 0 = -u - 4*n + 18 - o, -n = -4*u - 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7316297.\nAnswer: 7316297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 + 322?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 85\/8 and 2148\/(-168) + (-2)\/(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -4 - 5*a**3 - 4*a**2 + 7 - 5*a + 6*a**3. Let p be h(5). Solve 0*q - x = -2*q - 9, -5*x + 6 = p*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-12)\/(-8)*4\/3. Suppose 0 = 2*m + j - 161, u*j - 16 = -m + 69. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 67795816 divided by 25468\nAnswer: 2662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 1976 = -2447*s - 2918 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = m**3 + 5*m**2 + 2*m + 7. Let a be h(-5). Let q be a\/(-9) + 4\/6. Suppose -v = -0*v - q. Is 1 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m**2 - 2673610*m + 2673608 = 0.\nAnswer: 1, 1336804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4*110\/(-264)*15?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/231 and 49\/80707?\nAnswer: 1694847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3.8144 + 334.1156. Let b = n + -341. Let c = -2.943 - b. Round c to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 59 = -3*f + 17. Let y(w) = -2*w - 3. Let s(v) = 10*v + 14. Let q(g) = f*y(g) - 3*s(g). Let c(d) = 2*d. Give c(q(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 4235.76 litres?\nAnswer: 4235760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8410 - 58873\/7. What is the smallest value in 5, -0.0912, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 4 - 2*z)*(6*z - 15 + 9 - 8*z) to g + y*z + k*z**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 102533881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 3*u - 39 = 0, 357*w + 2*u = 354*w + 131. Calculate the lowest common multiple of 315 and w.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 25 + 3 - 38 - (10 + -3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 29295005587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.0098 and 1.014642.\nAnswer: 1.024442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 612551231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8591340 divided by 1922.\nAnswer: 4470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (8*y + 5*y**2 - 9*y**2 - 10*y)*(3*y**2 - 6*y**2 + 4*y**2 + 2*y) as t*y + i*y**2 + v + f*y**3 + u*y**4 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 2240 divide 812695759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -31437*v**2. Let u(k) = 2348*k**2. Determine u(y(d)).\nAnswer: 2320493107212*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 507909 is divided by 108.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 7 in 0, -5, -399.43, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c - 13 = -c + 4*l, c - 7 = -4*l. Let j be (-17)\/5 - (-8 - c). Are -1 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: ((6\/4)\/(11\/(-22)))\/(93\/(-155))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, m: 2, e: 3, x: 4, v: 1}. Give prob of sequence ve.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*v - 413957 - 563236. Suppose 22*f - 2*l = 26*f + 558398, f + l = -v. What is f rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3+33518\nAnswer: 33517.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*l + 3 - 3 + (0*l + l - 2*l)*(7 - 1 + 1) - 2 + l + 2 + (-3 - 2*l + 3)*(-1 + 4 - 2) + 1 + 2*l - 1 to the form o + f*l and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 + -3. Let z = 268 - 280. What is the nearest to k in 0, z, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 26 = 4*f - 554, 5*f - 5*u - 660 = 0. Suppose h + f + 48 = 0. Let n = h - -257. What are the prime factors of n?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/9 (b) 1 (c) 312789 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 7*x**2 - 90*x + 91. Let y(d) = -2*d**2 + d - 1. Let q(b) = 5*i(b) + 20*y(b). Factor q(c).\nAnswer: -5*(c - 1)*(c + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.004742 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (b + 2*b - 4*b)*(3 + 2 + 4)*(-1359660*b**2 - 9*b + 47 + 1359662*b**2 + 3*b).\nAnswer: -18*b**3 + 54*b**2 - 423*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1 + -101341?\nAnswer: -101342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2 + 7c3?\nAnswer: 7c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 times 0.108?\nAnswer: 0.0432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/9, -273, 1\/4, -1\/4 in ascending order.\nAnswer: -273, -1\/4, -1\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 103 = 83. Let y be (-45)\/6*(-5 + 1)*1. Suppose 0 = 3*c + 3*u - y - 15, -2*u + 4 = 0. Solve i = 4, -2*b + c = -k*b + 4*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s + 7. Let y be v(5). Suppose 0*d - 6 = 4*d - w, -3*w = 5*d - 1. Let z be d + -1 + 211*y. Round z to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yiy when three letters picked without replacement from yivbziiiiviyyzibjbz?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be 7 - (28\/4 + -3). Suppose 0*c + c = 3*k, -u*c + 3*k - 18 = 0. What is the units digit of c\/(27\/(-6)) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:22 PM and 2:56 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w = 2*m - 20, 0 = -4*w + m + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -627230 divided by -6?\nAnswer: 313615\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -258 - 2*s**3 + 131 - 352*s**2 + 127 + 652*s**2 + 1821*s**2.\nAnswer: -2*s**3 + 2121*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1325\/4 + -2635\/8. Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 10\/(-4)*(-4)\/35. Let h = 19 - 16. Suppose h + 5 = 4*l. Which is the nearest to j? (a) l (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0 - (8\/(-36) + 25\/(-9)). Suppose 0*w = o*w + 3, 3*w + 15 = -3*h. Let q = -247\/159 - 6\/53. What is the nearest to -1 in 2\/5, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -3*z. Let i(m) be the first derivative of -256*m**3\/3 + 69. Calculate x(i(d)).\nAnswer: 768*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 24, 5, 3, 367441.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 7*d = -6*d + 2309, 0 = -4*d + 12. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 109\/90 and -32\/650715.\nAnswer: 3904290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(85) - (sqrt(85) + sqrt(85)*-2)*-6)\/(sqrt(5)*-3*-2 + sqrt(5) - sqrt(5))*6.\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3\/7, 118\/7, -35, -0.2, 1\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 769219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -15*n**2 + 5*n - 22*n - 1 - 4 - 3*n.\nAnswer: -5*(n + 1)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a = 4*s + 65, 11983*s - 4*a = 11982*s - 63 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 64 by 1426.\nAnswer: 32\/713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3 + -325452?\nAnswer: -325455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 2101001 (base 5) to base 15.\nAnswer: a351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.05 - 0.2. Let z = 0.65 - 0.84. Let v = z - h. Put -0.5, 2\/7, v in increasing order.\nAnswer: -0.5, v, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -206, -213, -222, -233, -246, -261, -278?\n\"Answer: -o**2 - 4*o - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 4 (c) -0.3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -44*u**2 + 2576*u - 17792.\nAnswer: -4*(u - 8)*(11*u - 556)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 227 a factor of 22760836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/(-3)*(1 + 8). Solve -h*s - 3*j = 2*j + 11, 0 = s - 2*j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -13.66 - 0.34. Let q = -19 - p. Which is the third smallest value? (a) q (b) 1\/6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yxxdxxppxxxxpdpydbb. Give prob of picking 3 x and 1 p.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**2\/3 - 208*s\/3 - 412\/3.\nAnswer: -(s + 2)*(s + 206)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r + 5 = 5*l, 0 = 3*r - l - 19 + 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 143 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1 + 0 + 0 + 1. Suppose d*f + 8 = -2*f. Let q = f - -7. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -4*z - 4. Let n(p) = 4*p + 3. Let x = 34 - 100. Let t = x - -62. Calculate t*n(k) - 3*s(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 48 and 28284840.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve h**3 - 641*h**2 + 640*h = 0 for h.\nAnswer: 0, 1, 640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(50) - sqrt(7200))\/sqrt(10) - sqrt(5))**2*-3.\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -40*p - 4496 - 3667 = -5203 for p.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 2110 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -498*j - 421*j + 918*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -31230, -61528, -91826, -122124, -152422, -182720?\n\"Answer: -30298*i - 932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (10\/4)\/(1\/2). Put 2, 0.07, v, -2 in ascending order.\nAnswer: -2, 0.07, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -35, -72, -109, -146?\n\"Answer: -37*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 47 - (81 - (-1 + 63)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 232 and 11398334?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -2*k**3 + 200*k**2 - 188*k - 959. Determine m(99).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 21*p*v**2 - 5167*p*v - 9*v**2 wrt v.\nAnswer: 42*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -9*a + 27. Let r be b(5). Let g be 1802\/153 + (-4)\/r. Find the second derivative of 5*o + 31*o**3 - 6*o - g*o**3 wrt o.\nAnswer: 114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4e + 4?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 938 divide 42348824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 14687 - 7353 + 8803*d - 7334 to k + u*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -i**2 + 15*i - 21. Let h be 0 + 16 + (-6 - -3). Let a be j(h). Find the third derivative of 34 + 0*m**a + 12*m**5 + 6*m**2 - 34 wrt m.\nAnswer: 720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/1*10\/(-20). Which is the second biggest value? (a) 0.1 (b) 5\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/8)\/(75\/(-700)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 - -7. Let q = 3 - s. Let x = 11 + -16. Which is the nearest to q? (a) -3 (b) x (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15338 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -195*g + 35 = -200*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 145 (base 14) to base 2.\nAnswer: 100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1505 + 5546. List the prime factors of t.\nAnswer: 11, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - -7 - -1) + (-91 - (-77 + 26))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -138, 272, 1228, 2730, 4778, 7372?\nAnswer: 10512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -m**2 - 4*m + 2. Let i be v(-4). Suppose -3*r - 3*b = -i + 8, 0 = -4*b. What is the remainder when r + (-1)\/(2\/(-158)) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 197723179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.232 - -0.111. Let b = r + 4.621. Which is bigger: b or 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*(sqrt(136)\/(-3*sqrt(32)\/sqrt(4)) - 1*(sqrt(1377) + -1)))**2 + -3)*6.\nAnswer: -2800*sqrt(17) + 666796\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f + 5. Let v be k(0). Let c be v*8\/60*12. What is the second derivative of -64 - c*m**2 + 4*m + 64 wrt m?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 91, 122, 153?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.063 - 3.063. What is the third biggest value in -1\/6, 1\/90, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1008 - -1067 - (38 - -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 3*a**2 - 3. Let v be (1 - (-8)\/2) + 1. Let n(z) = -5*z**2 + v - z + z. Let k = -588 - -595. What is k*i(l) + 4*n(l)?\nAnswer: l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -179, -284, -371, -434, -467, -464, -419?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -267*1976.\nAnswer: -527592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the first derivative of -5\/12*b**4 + 5*b - 1\/20*b**5 - 7 - 1\/2*b**2 - b**3. Let q(w) be the first derivative of c(w). What is q(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 85601942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**3 - 3*t**2 + 4*t + 1. Let n be (12\/8)\/((-4)\/(-8)). Let s be y(n). Let d be ((-260)\/35)\/((-6)\/21). What is the highest common factor of s and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -h + 10. Suppose 32 = -n + 5*n. Let t be f(n). Factor j**t - 97*j**3 + 2*j**2 + 109*j**3.\nAnswer: 3*j**2*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 748 = 4*z - 4416. What is z rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(-26) + 0 + (3876\/(-13416))\/19.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.14 less than 410?\nAnswer: 410.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 5, 1\/6, 1\/3, 38?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t be 174\/54 - 4\/18. Let z be (-1 - -3) + -1 + 1. Let b(i) = -2*i**2 + 103*i - 1068. Let y be b(37). Solve -z*o - y = t*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-4)\/6 - -2)*-3. Let b = a + 1. Let j(c) = -c**2 + 0*c - 3 - 2*c - c + 1. Give j(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:58 PM and 5:02 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = 5*h - 68, 5*h + 3*s + 32 = 103. Solve -5*n + h = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -172, -233, -292, -349, -404, -457, -508?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.77 + 0.23. Suppose 2*t + 5 = -4*y - 1, -t + y + 9 = 0. What is the biggest value in i, t, -2\/11, -3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.7 + 46.7. Let r = 47 - g. Let a = -257 - -256.6. Sort a, -33, -0.2, r.\nAnswer: -33, a, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -11 - -15. Suppose 85 - 93 = -4*p. Solve -3*f = -j - 8, 3*f = -p*j - k + 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -613.62, -1.4, 2\/5 in decreasing order.\nAnswer: 2\/5, -1.4, -613.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = 27407 - 27276. What is the remainder when b is divided by 105?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 361 and -0.8.\nAnswer: 360.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -113\/177010 and 67\/17130.\nAnswer: 531030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1243 is divided by (-582)\/(-15) + 10\/550*11?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -28 times -715\nAnswer: 20020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -49\/1859751 and 13\/9298755.\nAnswer: 9298755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(110) - ((-2*sqrt(110) - sqrt(110)) + sqrt(110) + sqrt(110)))*-4*2)\/(-4*(sqrt(10) + -1*sqrt(1210))).\nAnswer: -2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/25 of a microgram in nanograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 14618401\/1763628 - 2933\/354. Calculate the common denominator of f and -37\/10.\nAnswer: 49820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 38*v**2 + 3*v + 3. Is j(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.706 + -1.7. Let s = 73401.0059953 + -73401. Let k = s - g. Round k to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -45*b + 44*b. Let n(f) = f - 1. Let g(z) = 3*z + 9. Let t(j) = 8*j + 26. Let p(l) = 14*g(l) - 5*t(l). Give b*p(m) - 6*n(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p**2 + 5985*p + 23892 = 0.\nAnswer: -1991, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o + 0*o = 48 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p + 8. Let w be (0\/((-15)\/(-3)))\/(-1). Suppose w = 5*g + x - 16, 6 = -4*x - 10. What is the remainder when g is divided by z(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 204\/54 - (-2)\/9. Suppose -i*q + 15 = -1. Factor q*p**4 - 2*p**2 - 8*p - 7*p**3 - 2*p**2 + 15*p**3.\nAnswer: 4*p*(p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -q + 91 + 324. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*g + 2*f - 2, 3*g = -0*g - 4*f - 10. Suppose b - 10 = -g*j, -2*j = -8 - 0. Suppose 5*d - 43 = 12. What is the least common multiple of b and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(4\/3)\/(i*(i\/((i**(-13)\/i)\/i))\/i))**36\/(i**1*i*i\/(i*i\/((((i**8*i)\/i)\/i)\/i))*((i*i**2*i)\/i)\/i**3) assuming i is positive.\nAnswer: i**(-535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2\/1615 - 50073\/6460. Let b be (-796411)\/(-374)*(-3)\/(-7). Let o = -910 + b. Calculate the common denominator of i and o.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -70*i - 3. Let p(h) = 3149*h + 134. Calculate 3*p(u) + 134*r(u).\nAnswer: 67*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 250327 is divided by 377?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a = 3*j + 14, 2*a = -j + 60 - 62 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 897696902 take away 4867.8?\nAnswer: 897692034.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pzpippppzpip. What is prob of picking 3 p and 1 z?\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-11 + (-390)\/(-35))\/((-5)\/(-14)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 2*q = 5. Let n = q - 2. Suppose -2*p + 277 = 3*p + 3*r, n*r + 147 = 3*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 34 + -34.018. Let l = v - 29.022. Let b = 29 + l. Round b to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 433167619.\nAnswer: 31, 73, 191413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 174*f + 125*f = -655 + 5439 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 101 = -3*m - s, -2*s = 5*m - 102. Suppose -m = j - 11*j. Solve 4*k = -g - 0 + j, 6 = 3*g - 2*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s + 5. Let u be z(7). Put 3, 6, u in decreasing order.\nAnswer: 6, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -22 + -7. What is the smallest value in t, 4, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-8 + 4 + -8)*-9. Does 17 divide (x\/(-15))\/((-33)\/1760)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -2 - ((-68)\/12 + 3). Are f and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-1)\/r)\/r)\/r**(-27)*(r*r**(-1\/11)*r)\/(r*r**12) assuming r is positive.\nAnswer: r**(142\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1629745354?\nAnswer: 2, 814872677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -27\/32804 and 73\/1115336.\nAnswer: 1115336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 13 - 9. Suppose 4*n = 4*z + q, 0 = -5*n - z + 9 + 2. Let i(v) = 0 - 3*v**2 + n + v**3 + 3 - 1 - 5*v. What is i(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -919cd + cc?\nAnswer: -91901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -6 + 1561 + 13 + 4?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 7103, 14727, 22351, 29975, 37599?\n\"Answer: 7624*k - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -9*a - 6. Let v(n) = 7*n - 1. Let i be v(1). Let c be 7\/((-5)\/2 + 3). Let x be c\/(i\/9*3). Let f(y) = -8*y - 5. Give x*f(r) - 6*q(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:00 PM and 12:59 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the third derivative of 2*q**5\/15 + q**4\/8 + 2*q**3\/3 - 25*q**2. Let t be y(4). Let z = t + -96. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -2*((2 + sqrt(700) + 1*sqrt(700))**2 + ((sqrt(700) + -5 + sqrt(700) + 4)**2 - sqrt(700))).\nAnswer: -11214 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 3442*x**2 + 1550*x + 9. Let h(r) = 6882*r**2 + 3105*r + 17. Let d(z) = 8*h(z) - 15*p(z). Find the second derivative of d(b) wrt b.\nAnswer: 6852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 445 minutes before 11:15 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 12 (base 8) in base 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -1797*h + 157. Does 19 divide t(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 61697196 a multiple of 1217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1429015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - ((-5 - (1 + -2)) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -c7e - -58?\nAnswer: -c26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*o**2\/4 - 222*o + 9585\/4 = 0 for o.\nAnswer: 71\/5, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of y**5 - 1415*y**4 + 3*y**3 - 137*y**2 + 3*y + 12.\nAnswer: 60*y**2 - 33960*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((6*(sqrt(320)*1 + sqrt(320) + sqrt(320))*3)**2 - (-1*-2*sqrt(320)*-5)**2).\nAnswer: -5406720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 172 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 6346764 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 40003 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 6395314.9689 plus -1.3?\nAnswer: 6395313.6689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 - (((-5 - -7) + 3 - 11) + -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((551\/29)\/(9\/(-9)))\/(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 0 > 1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 2, a: 1, c: 2, p: 1}. What is prob of sequence lacc?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-3)\/(-2))\/((-3)\/(-10)). Let y(r) = 13*r - 5. Let w be y(h). Suppose 2*c + w = 4*b - 74, 4*b + c = 143. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*q = -4*j - 3*q + 41, 2*j + 2*q = -2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dcc when three letters picked without replacement from cdcd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-13)\/(-3) + 1 - 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y + 12. Let o be h(-8). Let b = o + 1. Let c(x) be the first derivative of -x**3\/3 + 3*x**2\/2 + 125. What is c(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = g**3 - 2*g**2 + 3*g. Let s be y(2). Suppose 0 = 3*u - 9, m - u + 4 = s. Suppose 5 - 36 = -m*i + 2*n, 0 = -2*i + 3*n + 8. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**3 + 13*x**2 + 7*x + 7. Let s(w) = -w. Let y(d) = o(d) + 2*s(d). Let u = 1382 - 1389. Is y(u) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 24390 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -29 (b) 60 (c) -6 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 170856 (base 10) to base 12\nAnswer: 82a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be (4\/12*0)\/1. Suppose d = 2*y + v + 3*v - 4, 4*v = 4. Sort 1, y, -3 in increasing order.\nAnswer: -3, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*v - 23 + 29 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((-1*sqrt(832))**2 + 4).\nAnswer: -4180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 390153973 to the power of 1\/2, to the nearest integer?\nAnswer: 19752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -8*a. Let v(g) = 0*g - 46 + 35 - 14*g - 2*g. Let d(z) = 3*z + 2. Let h(y) = 11*d(y) + 2*v(y). Give h(s(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(1\/3))**(-8\/7))**30 assuming t is positive.\nAnswer: t**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be (1 + 0)\/(-12 - 1). Is 1 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -7 - -7. Let f = -0.05 + 0.05. What is the closest to f in -1, d, -2\/21?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the first derivative of 0*q + 5*q**2 - 11 - 15\/4*q**4 + q**5 + 5\/6*q**6 - 5\/3*q**3. Suppose n(b) = 0. What is b?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -4, l + 150*q - 268 = 149*q. What is the highest common factor of l and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 95, 4, -2, 113, -54, 3 in increasing order.\nAnswer: -54, -2, 2, 3, 4, 95, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 3*w - 17 - 7*w + 4*w**2 + w - 6*w. Let i(o) = -5*o**2 + 9*o + 16. Let q(r) = -6*g(r) - 5*i(r). What are the prime factors of q(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is c00832 (base 13) in base 5?\nAnswer: 2120110114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of t*x**3 - 11*t*x**2 - 12602*t*x + 5*t + 95*x**3 - 16860*x**2 - 1 wrt t?\nAnswer: x**3 - 11*x**2 - 12602*x + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -y**3 - 57*y + 54*y + 22*y**2 + 32*y**2 as n + x*y**3 + o*y**2 + r*y and give o.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1971 + 2248. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1302 and 9763698.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(16)\/sqrt(2))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 3, s: 3, w: 3, a: 7, k: 2, g: 1}. What is prob of picking 2 a?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1 + (2\/3)\/((-72)\/99). Let h(f) = f + 4. Let p be h(0). Let c be (2\/p)\/((-4)\/(-8)). Which is smaller: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 33340824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -428 - -428.528. Let y = r - 5.528. What is the nearest to 1\/4 in -2\/5, 1, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 350.4196 millilitres to litres.\nAnswer: 0.3504196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -z**3 + 9*z**2 + 4*z - 12. What is the remainder when p(8) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5*n**4 + 2*n**3 - 3*n + 51 - 55 + 4*n**4 in the form k*n**3 + m*n**2 + s*n**4 + g*n + c and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.2 + 0.08. Let c = -0.1768 - -1.1768. Which is bigger: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 279 and 733770?\nAnswer: 733770","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Let z = 2847 - 2847.1589. Let f = 0.2411 - z. Let h = 31.6 - 2.6. What is the third biggest value in 2\/9, f, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 383798604 to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b**3 - 556698*b**2\/5 + 5011622*b\/5 - 7796292\/5 = 0 for b.\nAnswer: -278439\/10, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -982 at least 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the first derivative of 5*v**6\/3 + 14*v**5\/5 + v**4 - 76. Factor j(c).\nAnswer: 2*c**3*(c + 1)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/(81\/(-146124)*-66).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**3 + g**2 - 7*g + 5. Let j(b) = b**3 - b**2 + b - 1. Let p be j(1). Let m be d(p). Let x(f) = -f**3 + 5*f**2 - 5. What is x(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10786769500 rounded to the nearest one million?\nAnswer: 10787000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1122 - 3?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2242 in 0.28, -4\/5, 2, 1.4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -110753*k**2*x + 2*k*x - 4960*k - 1 wrt k?\nAnswer: -221506*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, o: 3}. Give prob of sequence hoo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express 37*f + 14 - 4 - 10 as v + w*f and give w.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o**3 + o. Let f(n) = -2*n**3 - 4*n**2 - 12*n + 16. Let k(b) = -5*b**3 - 7*b**2 - 22*b + 28. Let p(w) = 7*f(w) - 4*k(w). Determine 4*a(x) - p(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -5*l - 23. Let u be f(-5). Suppose 0*d + 175 = z + 5*d, 2*d - 4 = 0. Suppose 4*x = 5*o - 334, -3*o = -u*x - 35 - z. Is 22 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*s**2 - 84 - s**2 - 4*s**2.\nAnswer: -2*s**2 - 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 7561 to the nearest one hundred.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3 - 135. Let v(y) = -16*y - 84. Let b be v(8). Let z = d - b. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2, 0.4, -55, -0.1, -2, -2\/99?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36 - 71 + 35 - 516541*w**2.\nAnswer: -516541*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:48 PM and 12:27 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0, -1, -7\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -3*g**2. Let p(s) = 6*s**2 + 14*s - 14. Let a(v) = 2*v**2 + 5*v - 5. Let z(q) = -14*a(q) + 5*p(q). Determine c(z(o)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply -7.3866 and 0.1974.\nAnswer: -1.45811484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 36.98338 millennia in centuries?\nAnswer: 369.8338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (28\/(-20))\/((-980)\/560)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -64 - -52. Suppose 3*g = 13 + 11. Calculate the remainder when 8*(-2)\/t*15 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*q + 13 = 32*q - 3*t, -5*q + 5*t + 5 = 0. Solve 3*c = 3*u - 18, -17 - q = -4*u + 3*c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 * 682\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1531*n - 518*n + 3823*n.\nAnswer: 4836*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 162*u + 217266 = 15*u. Put u, 0.5, -0.4, 1 in ascending order.\nAnswer: u, -0.4, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-572)\/(-616)*(-84)\/(-91).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(1100) + 3 + -3*(sqrt(1100) + -1)**2 + (3 + (sqrt(1100) + sqrt(1100) + sqrt(1100) + -1)**2)*-5 + 4)*-6.\nAnswer: -2220*sqrt(11) + 316872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vav when three letters picked without replacement from avafavwffafwffffffff.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/3*12\/(-8). Suppose -z = o - 0*o. Let m be (4 + -3)\/(o\/(-11)). Calculate the highest common factor of m and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36831 is divided by 8561.\nAnswer: 2587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = -4*w + 3*k + 8707, 2*w - 5*k = 4341. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -8\/7*w**3 - 2\/7*w**4 - 4\/7*w**2 + 8\/7*w + 6\/7 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 339*y + 337*y - 4 - 677*y. Let d be r(-14). Solve -d = -4*u - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-11 - 1)*(-5)\/15. Suppose 5*o - 4*s + 40 = s, 4*o - 5*s = -36. Let h be o\/(-8) + 10\/l. Solve -4*m + h*q = -10, 0 = -2*q + 2 + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -317*f**2 - 30*f + 10. Let m be i(7). Is m\/(-3) - (16\/(-6) - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -147*j + 150*j = 9. Solve -3*v = -2*v + j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3 and -3311.\nAnswer: -9933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 445766601?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*m + 8*m - 78 = 0. Let j(a) be the first derivative of 2\/3*a**m - 3\/2*a - 1\/2*a**2 + 9 - 1\/10*a**5 + 1\/4*a**4. What is w in j(w) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) be the third derivative of -n**6\/3420 + 4*n**5\/285 - 19*n**3\/6 + 12*n**2 + 2. Let s(j) be the first derivative of i(j). Factor s(h).\nAnswer: -2*h*(h - 16)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -18 + 17.9. Sort b, -0.3, 5 in increasing order.\nAnswer: -0.3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -27*n**3 - 11*n**2 + 4*n + 2. Let l(o) = -13*o**3 - 6*o**2 + 2*o + 1. Let r(h) = -11*l(h) + 6*x(h). List the prime factors of r(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -254 + 154 = -10*g. Let k(y) = y**2 - 16*y - 18. Let x(i) = -i - 1. Let n(u) = -k(u) + 6*x(u). Does 4 divide n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 2*k = 199 + 173, -k = g - 129. Let u be (g\/(-28))\/(3\/(-4)). Let q(v) = 3*v**2 - v - 1. Let a be q(u). Round a to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i + w = 17, i + 0*w - 4*w + 17 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 6\/7 (b) 0.04 (c) -1.34 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes before 6:34 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -345.69328 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -440, -443, -446, -449, -452?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, y: 1, s: 1}. What is prob of picking 1 s and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3993)*2)\/sqrt(3) + sqrt(176)*1*6.\nAnswer: 46*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 246705?\nAnswer: 3, 5, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -721*t - 366*t - 333*t + 88827 = 1643*t for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, x: 1, c: 1, z: 2}. What is prob of sequence zxg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (22*d**3 + 35*d**3 - 67*d**3)*(0 - 2 + 3).\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 4*l**3 - 2*l**2 + 2*l - 2. Let b(f) = 5*f**3 - 3*f**2 + 3*f - 3. Let j(r) = r**2 + 10 + 12*r + 16 - 9. Let k be j(-10). Calculate k*m(d) + 2*b(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 17 - 12. Suppose 80 = -0*n + 5*n + z*p, p - 84 = -5*n. Solve y - n = 4*l - 4, -3*y + 6 = -l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -1 (b) -14 (c) 0 (d) -1\/7 (e) 2\/39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 225 - 173. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8847869797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*v - 24 = 2*v. Let h(o) = 22*o - 43*o + 26*o - 313 + 318 - o**2. Determine h(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 284 + -284.2. What is the second smallest value in -1\/6, 0.2, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -183224, -183212, -183190, -183152, -183092, -183004, -182882, -182720?\n\"Answer: l**3 - l**2 + 8*l - 183232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 151\/5 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14\/16*(-9)\/(-21) - 19\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 480682.5 millilitres to litres.\nAnswer: 480.6825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4 + 6. Let a = 91 - 91. Suppose 7*t = -a*t + 21. Solve 4*j = -5*w + 9, 3*j = -r*w + 2*j + t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 6*p - 3. Let c be f(1). What is the units digit of 4 + 0 + 44 + 1*c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14651 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 168.890403 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 180 divided by -40?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**11\/f**(-2\/3))**(-32) assuming f is positive.\nAnswer: f**(-1120\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 3*g**3 - 4*g**2 - 3*g + 3. Let v(m) = m**2 - 2*m**2 - 48*m - 46*m - 44*m + 137*m. Give -p(z) + 3*v(z).\nAnswer: -3*z**3 + z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1384 + 3*b + 1384.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -5*x - 5. Let n be (4 - 1) + -2*x\/4. Suppose 0 = 10*v - n*v - 216. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -p - 60 + 110 + p**2 - 77 as w*p**2 + m*p + g and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: (90\/135)\/(7\/(-42))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 102 + -102. Suppose -4*t + 2*t - 82 = g. Let i = t + 289\/7. Which is the closest to -0.1? (a) -0.5 (b) i (c) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:31 PM and 12:05 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f + 3*n - 4, -3*n - 5 = 4*f + 21. Is (-1 - 89)\/f + 0 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 504 and 53902408.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 584 + -583. Let u(y) = 234*y**3 + 2*y**2 - 2*y - 1. What are the prime factors of u(d)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -9685 - -116329\/12. Find the common denominator of h and 19\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-92)\/24)\/((-2)\/4)*(-144)\/48?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -384445 divided by 5.\nAnswer: -76889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 18806 + -8*18\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, m: 1, i: 8, f: 4, s: 1}. What is prob of sequence bi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1 + -9. Let f = 7 + w. Let h(g) = g**3. Let y(x) = 2*x**3 - x**2 - x. Determine f*h(j) + y(j).\nAnswer: -j**3 - j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from amrcraarrr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -7*p**2 + 6*p - 4. Let f be j(4). Suppose 159 - 423 = -6*t. What is the remainder when t is divided by ((-1)\/(-2))\/((-2)\/f)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3*q + 8 - 5 - 5 wrt q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o = 4*r - 22, -64 + 76 = -r - 3*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/60 and -149\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(16)\/(sqrt(72) + sqrt(8) + sqrt(8)) - (sqrt(2) - sqrt(20)\/(sqrt(10) + sqrt(40))) - (-3 + sqrt(2) + sqrt(8)*-5).\nAnswer: 3 + 128*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -1.145288 rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ulfsoysf. What is prob of picking 2 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 68 + -63. Suppose -250 = -r*u + 280. Which is bigger: u or 104?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 76*b + 17*b + 17484. Are -184 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**(2\/23))**(25\/6)*(l**(3\/5)\/l)\/(((l**(11\/6)\/l)\/l)\/l*l) assuming l is positive.\nAnswer: l**(494\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 25 + -27. Let d be (72\/7)\/(p\/(-21)). What is the greatest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.2 + 0.8. Let v = g + -0.2. Suppose -6*b = -0 - 12. What is the third biggest value in b, v, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1000)*1 - (2*sqrt(400) - sqrt(400))\/sqrt(10))\/(5*-1*sqrt(512) - sqrt(512)).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 132 divided by 4\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -2*j**3 + 4*j**2 - 13*j + 20. Let y be p(2). Let z = -2 - -1. Put 1, z, y in ascending order.\nAnswer: y, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -108*c**3*s**3 - 4*c**3*s**2*v + 9*c**3*v - c**2 - 3757*c*s**3*v - 4*s**2*v + 7*s**2 - v wrt s?\nAnswer: -648*c**3 - 22542*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -3*z**2 - 2642*z - 56623. Give r(-22).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -2929*w**5 - 59*w + 38*w + 21*w + 901*w**5 + 5*w**5 - 5*w**5 + 3*w**5 + w**5 - 5*w + 5*w + (-5 + 4 - 1)*(-3*w**5 + 0*w**5 + w**5).\nAnswer: -2020*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -74*u = 12392 + 11427 - 23079 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -3*m**3 + 2*m**2 + 2*m. Let l(r) = 12*r**3 - 9*r**2 - 9*r. Let a = 16 + -18. What is a*l(f) - 9*z(f)?\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 9 = -2*a + 2*q, -3*a = -5*q - 24. Suppose a*w + 2*w = 0. Suppose w = -k + 67 + 52. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1612 + 21665*b - 1612 - 5381*b.\nAnswer: 16284*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27718 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -16 (b) -0.4 (c) 13 (d) 2\/9 (e) -1 (f) 1.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t + 6*t + 56. Let u be (t\/49)\/((-1)\/7). Is (0 - -1)\/(u\/422) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 557, 2305, 5215, 9287, 14521?\n\"Answer: 581*v**2 + 5*v - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44*z**3 + 15*z**3 - 373*z - 58*z**3.\nAnswer: z**3 - 373*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 289 and 151725?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-926)\/93*4575\/(-2745)*3\/(-50) - -1\nAnswer: 2\/465","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 9*c - 5. Let t(w) = w**3 - 13*w**2 + 7. Let q be t(13). Suppose 12 = 4*f, -q - 3 = -2*k - 2*f. Is p(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - i + 10 = 0, 0 = i - 6 + 2. Let t = -3 - x. Solve -3*g = -3 - t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 363 and 30?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 0*r + 24 = 0. Let c be (3\/10)\/(r\/64). Sort c, -5, 0 in ascending order.\nAnswer: -5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -9, 0.5, -11, -1, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**3 + 22*z**2 + z - 31. What is v(22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 4360 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 3 = 2*h - 4, -5*h = -5*o - 5. Let z(f) = -3*f**2 - 20*f + 22*f + h*f**2 - 10*f. Let t(m) = -2*m**2. What is t(z(x))?\nAnswer: -2*x**4 - 32*x**3 - 128*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 378, 1490, 3420, 6264, 10118, 15078, 21240?\n\"Answer: 16*c**3 + 313*c**2 + 61*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 13782 - 12970. Calculate the highest common factor of t and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000149658054 rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 128222, 128025, 127828?\n\"Answer: -197*c + 128419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Total of -850381351.24 and -4.\nAnswer: -850381355.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1975330, -3951451, -5927574, -7903699, -9879826?\nAnswer: -11855955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1*((-1598)\/(-51) - 4\/(-6)). Let w = -25 - k. Calculate the lowest common multiple of w and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5*s - 23*s + s - 267*s**3 + 6*s + 10*s as q + j*s + z*s**2 + i*s**3 and give i.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 211*k*t**4 - 888*k*t**3 - 33*k*t**2 + 2*k*t + 2*k - 23*t**4 + 7*t**2 + 233*t wrt t?\nAnswer: 5064*k*t - 5328*k - 552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (46\/69)\/((-8)\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*l + 77 = 2*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2083062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -321*q + 28*q + 265 + 235 + 965 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3859.5 minus -4?\nAnswer: 3863.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 minus 13200.1?\nAnswer: -13199.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the third derivative of -w**5\/80 + 49*w**4\/32 - 111*w**3\/2 + 162*w**2 + 10*w + 2. Factor r(j).\nAnswer: -3*(j - 37)*(j - 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 144459*o - 144459*o - 3*o**2 + 3*o**2 + 2*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - 64 - (38 + -11 - (-19 - -46)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 19, 1, 8.5, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 83242, 83241, 83240, 83239?\n\"Answer: -u + 83243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2 (b) 3 (c) 113\/6 (d) 0.3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -2*h. Let t(q) = 2*q**2 - 6*q + 6. Let v(i) = 5*i**2 - 13*i + 13. Let k(u) = 13*t(u) - 6*v(u). Determine k(y(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) be the third derivative of -1\/7*n**4 - 1\/28*n**5 + 13\/14*n**3 - 27*n - n**2 + 0. Determine d so that s(d) = 0.\nAnswer: -13\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 298296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that -143532*u + 107892 + 87589*u**2 + 2*u**5 - 15768*u**3 + 1284*u**4 - 16093*u**2 + 2*u**5 = 0.\nAnswer: -333, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor s**3\/6 - 18*s**2 + 648*s - 7776.\nAnswer: (s - 36)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*g = -2*g + 625. Let r be (6\/10)\/((-5)\/g). Solve 0*o = -3*o - r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7 - -12. Suppose r*c + 0 = 15. What is the remainder when (-3 + 1)*(-165)\/30 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) be the first derivative of o**3 - 5*o**2 + 10*o + 84. Let i be f(2). What is the closest to i in 4, 2\/15, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 0*z + 400 - 397 + 4*z. Suppose 2*x = -3*x - 10. Calculate a(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-16)\/(-80))\/((-6)\/5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -473127 less than -473125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 9443 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((2 + 2)*-1)\/37. Suppose q + v - 11 = 0, 0 = 3*v - 2 + 5. Let n be (4\/q)\/((-10)\/(-30)). Is y greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -33, 2, -21, -187, -5, -2, 4 in increasing order.\nAnswer: -187, -33, -21, -5, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -39*c + 704. Calculate the remainder when 2239 is divided by z(16).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 + 3*(4 - 42\/9)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 155144 and 242348.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 1\/3 (b) 0.15 (c) -0.1 (d) -2\/7 (e) -5 (f) -9.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**2 + 4*y + 5. Let f(a) be the first derivative of a**3\/3 + 5*a**2\/2 + 6*a + 1. Suppose 32*p = 36*p - 16. Determine p*h(l) - 3*f(l).\nAnswer: l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 114133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -50257200 to the nearest one million.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 101628430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -1 - 3 + 4 - 5*n. Let q(f) = -f. Give q(b(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -109 (b) 1 (c) -2\/3 (d) -29\/59 (e) 2 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1014 = -8*z - 26*q - 1020, 2*z - 5*z - 4*q = -15 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -181 or -719\/4?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -17*w + 358. Let j(u) = 5*u - 120. Give -4*g(l) - 14*j(l).\nAnswer: -2*l + 248","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 21306 + 27136 = -1261*g + 6829 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -s**3 - 33*s**2 + 73*s + 2399. Give u(-33).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:25 AM and 12:50 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(-21) + (-11)\/(462\/12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*j + 2*j - j + (-5 - 1 + 3)*(3*j - 3*j - j))*(4*j**2 - 7*j**2 + 4*j**2).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**2 + 4*b - 7. Let c be u(-6). Let h = -828 - -814. Sort c, h, 0 in decreasing order.\nAnswer: c, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*x - 6*x + 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nmm when three letters picked without replacement from {n: 1, m: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4\/41 + -217\/123. Let l = -9 + 23\/3. Let y = s - l. What is the closest to y in -0.05, 0.2, 4\/3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the third derivative of 1067*x**8\/112 + 13*x**5\/60 + 67*x**3\/6 + 1988*x**2. What is the third derivative of p(q) wrt q?\nAnswer: 192060*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the third derivative of 32*d**7\/21 + d**6\/60 + 46*d**5\/15 + d**3\/3 + 3596*d**2. Find the third derivative of f(q) wrt q.\nAnswer: 7680*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -18062944, -36125889, -54188844, -72251815, -90314808, -108377829, -126440884?\n\"Answer: -r**3 + r**2 - 18062941*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -39 - -42. Suppose h*l - 203 - 22 = 0. Suppose -6*k = -k - l. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -572*g**2*w**2 - 2*g*w**2 + 79*g*w - w wrt g.\nAnswer: -1144*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 3*f - 46464 = 0, 19*u - 23*u - 3*f + 61910 = 0. What are the prime factors of u?\nAnswer: 2, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*q - 92 + 96 - 2*q.\nAnswer: 3*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -119 * 0.4\nAnswer: -47.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -5*f. Let c(l) be the second derivative of -5*l**4\/24 - 11*l**2\/2 + 7*l. Let g(j) be the first derivative of c(j). Determine g(d(h)).\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-15)\/54*2\/(-20). Let x(g) be the second derivative of 2*g + 0 + m*g**4 + 1\/9*g**3 + 1\/6*g**2. Factor x(h).\nAnswer: (h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -1118 divided by 619\nAnswer: -1118\/619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p - 28. Let q be l(-7). What is the hundreds digit of q*10\/15*(-39)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4, -3\/2, 0.04, 3, 0.5, -10929?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by 12158425.\nAnswer: 2\/12158425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (20\/6)\/((8\/(-6))\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k + 55 = -15*o, -928*k + 933*k + 5*o = 55 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*n**4\/7 - 5884*n**3\/7 - 23560*n**2\/7 - 23568*n\/7.\nAnswer: 2*n*(n - 2946)*(n + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**3 + x**2 - 17. Let q = 162 + -168. Let d be q\/39 + 4\/26. Calculate y(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 46 = 2*t, 4*t - 117 = -5*k + t. Let d = -4 + k. What is the highest common divisor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 124084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.4 and -0.16?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*i + 5932 = 1832. Let f = i - 346. Calculate the remainder when 255 is divided by f.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 31 = 13. Suppose 0 = 2*y - g, -q - 21 = -2*q - 5*y. Let d(j) = j**3 - 4*j**2 - 9*j + 1. What is the remainder when 75 is divided by d(q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31863 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7 and 5649.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2538 and 54.\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be 8*-6*(-4)\/352. Which is the third biggest value? (a) -0.3 (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from kakawwavkkokoa?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2 or -0.0657951?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 286 and 192166.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.08, -3\/4, 1935, 0, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**30\/f)\/f**20 assuming f is positive.\nAnswer: f**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(85)*-1*-5 - sqrt(85))\/(sqrt(5) - sqrt(500)*-2) + ((sqrt(17) + -1)**2*-4 - sqrt(51)\/(sqrt(15)\/sqrt(5)))*4.\nAnswer: -288 + 592*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 3*51\/(-15) + -1 and 55\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 216*b**2 + 7*b - 15. Let i be a(2). Let j = i + -2590\/3. Sort 1, j, 0.5, 20 in ascending order.\nAnswer: j, 0.5, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 490188236 and 0.2?\nAnswer: 98037647.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 3*d**2 - 2*d - 7. Let u(o) = -29*o**2 - 12*o - 41. Let c(q) = 6*q**2 + 3*q + 10. Let v(k) = 9*c(k) + 2*u(k). What is -6*t(i) - 5*v(i)?\nAnswer: 2*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (-29*j + 16*j + 10*j)*(-3 + 3 + 1 + (2 - 1 + 1)*(-3 + 1 + 4))*(3 + 0 - 4) in the form s*j + w and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 2, a: 11}. What is prob of sequence jaaa?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 42\/5 of a centimeter in millimeters?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -4*x**2 - 6*x - 5. Let w = 63 - 60. Let b(a) = -5*a**2 - 7*a - 6. Let z(j) = w*b(j) - 4*u(j). Let d be (-8 + 7)*(-1 - -9) + 3. Calculate z(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**3 + 6*f**2 + 6*f. Suppose 0 = -3*z - 10*z + 78. Let q(v) = -v**3 + 8*v**2 - 12*v - 5. Let a be q(z). Give d(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the square root of 20829 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 0.034629 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*k - 121 + 49. Let a be (-2)\/(-4)*(1 - -1). What is the highest common divisor of a and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**5 + 86*m**4 - 166*m**3 + 82*m**2.\nAnswer: -2*m**2*(m - 41)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -2352808.365 rounded to the nearest 10000?\nAnswer: -2350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*v = -n - 10*v + 2256, -3*n + 6774 = -v. What are the prime factors of n?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 243*x + 63831 = 75981 for x.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 24*t**3 - 8*t**2 + 7*t + 2. Let s be j(5). Factor -s + 2837 - 4*o - 46*o**2.\nAnswer: -2*o*(23*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-312)\/(-42) + -7 + -3 + 400\/(-35)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let 85*f**3 - 550*f**2 - 8480*f - 19680 = 0. What is f?\nAnswer: -4, 246\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -52675396*q**3 + 19738278 wrt q?\nAnswer: -158026188*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*j**2 - 83901*j.\nAnswer: 3*j*(j - 27967)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (115\/15 - 6)\/(37\/(-111) + 402\/1161)\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 2*w + 2*w. Suppose w*m = -4*h + 37, 2*m + 3*m = -2*h + 31. Factor 10*v**3 - 4*v**2 - v**5 + 2*v**4 + 3*v**5 - 10*v**4 + 0*v**h.\nAnswer: 2*v**2*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 3*p - 85. Give a(28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -34 + 73 - (-25 + 47)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve a + 15 = -3*c, 2*a - 33*c - 42 = -21*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = -2*b - 3*b, 2*b - 2*w - 18 = 0. What is the second derivative of -14*p**b + 5*p + 0*p**4 + 0*p**4 wrt p?\nAnswer: -168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z**4\/5 - 78*z**3\/5 - 579*z**2\/5 - 936*z\/5 - 432\/5 = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 26 + (-153 - -110)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in -2, -4, 26\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c be 55*-3*10\/(-15). Let b be (c\/(-6))\/(6\/(-18)). What is the highest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*j**2 + j**2 - 2*j**2 + (-4 + 4 - 2*j)*(2*j + 2 - 2) + (-j + 3*j - 5*j)*(-3*j + 3*j - j) + 2*j**2 - 4*j**2 + 4*j**2 to c*j + b + v*j**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = 4*t + 4*n, 5*t - 709*n = -712*n - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n**4\/5 + 232*n**3\/5 + 3666*n**2\/5 + 13628*n\/5 + 10192\/5 = 0 for n.\nAnswer: -98, -13, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 702 minutes before 4:00 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -474 + 504. What is the highest common divisor of w and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 23, -4, 30, -3 in decreasing order.\nAnswer: 30, 23, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(242) + -2 + -5) + -4)*-5.\nAnswer: -190 + 330*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the third derivative of w**6\/720 - w**5\/30 + w**4\/24 + 4*w**2. Let k(d) be the second derivative of l(d). Differentiate k(v) with respect to v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 9 - 94*v + 85*v - 11 - 70. Let r be k(-7). Let b(s) = 2*s + 12. What is b(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = 10, q = -3*m + 3*q + 19. Suppose s = -2 - m. What is the nearest to -0.1 in -2, s, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9548 is divided by 9503.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes before 4:02 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i be -3*(-4)\/(-3)*1. Let b be (-2)\/(-4)*i\/(-4). Factor -b*s**2 + 1\/2*s + 0.\nAnswer: -s*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the first derivative of 4*c**3\/3 + 5. Let q(t) = 2*t**2. Calculate o(q(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + 7 = -4*s - 14, 2*d + 5*s = -9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 53473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 13 + 14577426?\nAnswer: 14577441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -2\/7, -0.3, -0.16, 1\/1326.\nAnswer: -0.3, -2\/7, -0.16, 0, 1\/1326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.8, 0.2, -1\/5, -0.1, -1.52?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/((-16)\/54))\/((-138)\/644*56\/96)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(2736)*-3 + 1 + -2 + 3*sqrt(2736) + -3 + (3 + 1 + sqrt(2736) + 4 + sqrt(2736)*-2)**2 + 3.\nAnswer: -192*sqrt(19) + 2799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g + 6. Let f be y(6). Let x = 0 + f. Solve 16 = -5*i - x*o + 3*o, i - 5*o = 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l + 3. Let r be h(0). Suppose 2*f - 4*f + w = -17523, r*w + 17529 = 2*f. Suppose 9*a = 3*a - f. Round a to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -100232211 - 100?\nAnswer: -100232311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 2 - 5)*(-1 - 7 + 0)*(23*h - 40*h - 23*h) in the form b + l*h and give l.\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -132, -511, -1142, -2025, -3160?\nAnswer: -4547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/(20\/(-16))*1\/(-18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.057782282 - -0.05778. Round r to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33459908.\nAnswer: 2, 8364977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -91 - (-7009 - -6918)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -12*l - 7549. Let s(a) = 5*a + 3775. Give 2*b(g) + 5*s(g).\nAnswer: g + 3777","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -17 - 12 + 17*h + 29 as d*h + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide -7956 by 2652.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.031 + -0.043. Let b = -0.212 - j. Is b <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + (-12 - (4 - (1 - -1)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 2*t - 467 = 0, 0*h = -3*h + 4*t + 475. Let f = h - 52. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.54 - -0.043035.\nAnswer: 1.583035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 136*o**2 + 142*o**2 - 340*o**2 in the form i*o**2 + u + n*o and give i.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 449 - 447. Let m(a) = 3*a + 10 - 10*a + 2*a + 2*a**u + 2*a - a. Let c(k) = -k + 1. What is -10*c(q) + m(q)?\nAnswer: 2*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 101733990?\nAnswer: 2, 3, 5, 3391133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 41? (a) 2\/17 (b) 190 (c) -2\/3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -7*f + 16 + 9 - 58. Let x be m(-13). Suppose -3*a + 110 = n, -a + x = -4*n - n. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 1 - 3)*(4*f + f - 3*f) - 319 + 781*f - 779*f - 176 to k*f + s and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -64971377 divided by -2?\nAnswer: 64971377\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 1010 (base 3) to base 14\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put together -679879.62 and 2.415.\nAnswer: -679877.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the third derivative of -v**7\/105 + v**6\/5 + 23*v**5\/30 - 23*v**4\/2 + 104*v**3\/3 - 2356*v**2 - 2*v. Let h(x) = 0. What is x?\nAnswer: -4, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -488 divided by -244.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p - 4*v = 19, p + 4 = -3*v - 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1038.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0\/(((-54)\/4)\/9*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 4*b - 5. Determine j(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let -5*o**2 - 8985*o - 3364900 = 0. Calculate o.\nAnswer: -1265, -532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*o = -7 + 135. Suppose 3*w = 22 + 2. Let b = 53 - w. What is the remainder when b is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 487*a**3 - 217*a + 505*a**3 + 540*a**3 + 217*a - 1721*a**3.\nAnswer: -189*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 67228590.\nAnswer: 2, 3, 5, 11, 13, 15671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 257, 334, 415, 500, 589, 682, 779?\n\"Answer: 2*d**2 + 71*d + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:25 PM and 9:52 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that -q**3 - 3650*q**2 + 8236463*q - 3750491088 = 0.\nAnswer: -5328, 839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 684709789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s + 2*s - 3*s. Let v be a(-2). Find the second derivative of -m + 8*m**v - m - 6*m**4 wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6.5809 + -688.4109. What is p rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 88462456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3038 and 16126.\nAnswer: 24495394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8, -4, 0, 4, 8, 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*m**2 - 13*m**2 - 14*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c and 2 o when four letters picked without replacement from codcddddoddddd?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-522)*((-5251)\/(-118) - 46).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6223560, 6223564, 6223568, 6223572, 6223576?\nAnswer: 6223580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**3 + 1008234*z**2 - 127050337350*z - 4193759171250.\nAnswer: -2*(z - 252075)**2*(z + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -26, 0, 3, -110900, -2 in decreasing order.\nAnswer: 3, 0, -2, -26, -110900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-156)\/(-10)*(74 - 6728\/87).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 233*x - 461*x + 104 = -241*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-6*3\/12)\/(5*(-30)\/(-500))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**15*z*z)\/(z\/z**(1\/8))*(z**3\/z*z)\/z*z\/z**10 assuming z is positive.\nAnswer: z**(73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 585*u + 2930. Calculate z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -264166664 - 192835.9\nAnswer: -264359499.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -41*o**2 + 2*o + 1. Let s be t(-1). Let b be 75\/s + (-3)\/(-2). Let w = 455.6 - 458.6. Put -2\/3, b, w, -0.4 in descending order.\nAnswer: b, -0.4, -2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.04 - 0.24. Let a be ((-22)\/20)\/11*4. Let g = 4.5 - 4.2. What is the nearest to v in 2\/13, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 - -1. Let x = -486 - -510.3. Let m = -24 + x. Which is the closest to -2\/7? (a) m (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = z - 2*z + 2 + 0*z. Let h be p(-3). Let t = -2 + h. Sort t, -2, -2\/5 in descending order.\nAnswer: t, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -50, -3, 4, -5, 35 in descending order.\nAnswer: 35, 4, -3, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 399730 is divided by 11019.\nAnswer: 3046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 2, d: 2, f: 2, u: 7, p: 1, c: 2}. Give prob of sequence ufu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 263*d**2*w**2 - 566*d**2 - 41*d*w**2 - 5*d*w - 5*d - 13*w**2 + 2*w wrt d?\nAnswer: 526*w**2 - 1132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 9967 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 26009, 26063, 26083, 26051, 25949, 25759, 25463?\nAnswer: 25043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 16022226 (base 7) to base 13\nAnswer: 419913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 6660353 minus 61718029?\nAnswer: -55057676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*d + 14 - 214 = 0. Calculate the remainder when 78 is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -42\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 158 minutes after 6:12 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:38 PM and 8:04 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:15 PM and 4:24 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 724 and 2613816?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*y - 3 = -43*y. Which is bigger: 1\/19 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*l**3 - 30*l**2 + 125*l - 90.\nAnswer: -5*(l - 2)*(l - 1)*(l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -54748.33 rounded to the nearest 1000?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*c + 7*c**4 + 15*c**2 - 19*c**4 - 2 - 5 + c + 11*c**4 to the form t*c**2 + l*c**4 + y*c**3 + z + a*c and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - -3 - (0 + (-11 - -5)) - (31 + -8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -5*p**2 + 1 + 0 + 4*p**2 - 5*p + 4. Let x = -9 + 4. What is the units digit of y(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 7*c - 57. Let i be y(23). Let z = -88 + i. What is the least common multiple of 44 and z?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -31 - -6. What is the closest to 1 in -4, a, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 150.2213 - 0.0213. Let s = 36.3 - l. Let z = 114 + s. What is the closest to z in 2, 6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2300 (base 7) to base 14.\nAnswer: -437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -t**2. Let f(m) = -38 - 42 + 80 - 5*m**2 - 5*m**2. Determine f(s(o)).\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 0.575332t?\nAnswer: 575.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -406729*l**3 - 133721 wrt l?\nAnswer: -1220187*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6919*h - 9043*h - 53100 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 10737473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 62\/(-5)*(-5)\/3 and (200\/(-12))\/(-1) + (-1 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor j**4\/2 - j**3.\nAnswer: j**3*(j - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4189 - 4168. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**3 + 94*a**2 - 104*a - 309. What is the least common multiple of l(-95) and 20?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) be the first derivative of 16\/3*g**2 - 6 + 1\/18*g**4 + 7*g - 8\/9*g**3. Let q(b) be the first derivative of r(b). Factor q(p).\nAnswer: 2*(p - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 265943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hhkh when four letters picked without replacement from khkhkkkbh.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 4*g = -551 - 5861, -7995 = -5*i - 5*g. Calculate the remainder when i is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 17 - 17.02. Let j = q + 0.22. Sort 1\/10, j, -1 in increasing order.\nAnswer: -1, 1\/10, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-1))**(-3)*(i*i**(-3)*i*i)\/((i\/(i**(-1\/3)\/i))\/i) assuming i is positive.\nAnswer: i**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 52, -1, -5, 46 in ascending order.\nAnswer: -5, -1, 46, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (151*x + 285*x - 63*x)*(65*x**2 + 84*x**2 - 186*x**2 + 187*x**2).\nAnswer: 55950*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 2*g + 3*v - 37 = 0, 0 = 3*g + 2*v + 7. Let s = g - -7. What is the third derivative of m**5 + 2*m**3 + 2*m**2 - s*m**3 wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6146 - 4321. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 11 (b) -1 (c) -23302 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 227915 is divided by 280.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.0446 and 0.778?\nAnswer: 0.0346988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -7*h - 60. Let s = 8 + h. Let f = 17 + -16.9. What is the closest to f in 0.2, -0.1, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 668 + -653. Calculate the highest common factor of w and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 275192 and 10168?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -284.52 + -0.51\nAnswer: -285.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -404*i + 5646. Determine b(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gmmwysssmesyyggyss. What is prob of picking 1 g and 1 y?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 19 - (-6 + 14 + (-22 - -7))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + h + 71 = 0, 3*b - 190 = -2*b + 5*h. Suppose 48 = 3*k + 3. Calculate the remainder when b is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 18292 - 585285\/32. Find the common denominator of 63\/104 and p.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/228 and -53\/108?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24632425.\nAnswer: 5, 23, 42839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = 160.5 - -17.5. Let c = 177.999565 - f. What is c rounded to 5 decimal places?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 10) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*l + 30 = -18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2771 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 619.591 centuries?\nAnswer: 743509.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.27 - -0.03. Let n = p + 1.1. Let z = 0.4 - n. What is the biggest value in -5\/6, z, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -19 + 16 + 14 + -15 + 2 + 2 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*a - 3*a = 5. Suppose 6 = -5*m - 9. Let l be (-1)\/m - 4\/(-15). Sort l, -0.1, a in descending order.\nAnswer: a, l, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 141 by -1.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 31, 509, 2011, 5113, 10391, 18421?\n\"Answer: 96*a**3 - 64*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 2 + 4 + 4*a - 5*a + 1 - a**2. Is m(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -564453 to the nearest 1000.\nAnswer: -564000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (j**2 + j**3 - j**2)*(-1 + 0 + 0) + 4*j**3 + 19*j**3 - 9*j**3 + 4*j**2 - 4*j**2 + j**3 + 0 + j**3 + 0.\nAnswer: 15*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*f*l*y**2 - 70*f*l*y - 3*f*l + 17*l*y + 2*l - 2471*y**2 wrt y.\nAnswer: -6*f*l - 4942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -37830, -300132, -1011366, -2395998, -4678494, -8083320, -12834942, -19157826?\n\"Answer: -37411*l**3 - 425*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1070 a factor of 19353585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = -20373 + 20521. What is the smallest common multiple of 112 and d?\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 4*q + 2 + 0 + 0 + 3*q**2 - 4*q**2. Calculate l(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((11400\/10)\/6)\/2)\/((-30)\/(-12))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 8*j**3 - 36*j - 20. Let r(l) = -l**3 + 5*l + 3. Let f(t) = 3*p(t) + 20*r(t). What is the second derivative of f(h) wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -9467 and 570078530.\nAnswer: 570069063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 12466 + -2233. List the prime factors of j.\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.2 - 1.2. Let t = y - -1.2. Let p = -4 - -1. What is the nearest to 0.1 in p, t, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((3*sqrt(128)*-2 + -2 + 3 + sqrt(2) + 1)*-3 + -3)*-6)**2.\nAnswer: -91368*sqrt(2) + 1434348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2c1 - -e?\nAnswer: -2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, 3\/7, 14\/3 in descending order.\nAnswer: 14\/3, 3\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -6a70 + 1?\nAnswer: -6a6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21195*3559.\nAnswer: -75433005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-22 + 5 - 22)*(-4*i**4 + 2*i**4 + i**4).\nAnswer: 39*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 17\/7 (b) -0.2 (c) 1 (d) -4 (e) 2\/29 (f) -911\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + a - 24 = 0. Let u be 3\/9 + (-10)\/a. Solve -2*l - u = 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 135.5279t in kilograms?\nAnswer: 135527.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be 35084\/4459 + (-4)\/26 + -8. What is the closest to 3 in -2, 1\/20, t?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g - 1543 = 5*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5516*b + 425413 - 69347 = 274*b - 47*b for b.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 3560, 3559, 3558, 3557?\n\"Answer: -a + 3561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1149 + -1146. Solve 3*h + w*n = -9, -4*h - n = -0*n + 18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16\/28)\/(484\/154).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 14 - -2. Let a(j) = j + 7. Let p be a(-5). Suppose -5*u = -p*b - 20, 4*u - 5*b = 48 - 15. Calculate the highest common divisor of u and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 40, 38, 36, 34, 32, 30?\n\"Answer: -2*k + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 - -2. Suppose -o = v - 0*v. Sort 2, v, 0 in ascending order.\nAnswer: v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 + (14 - (10 + 5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 19 - -5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c be 214\/14 + (-60)\/210. Suppose 0 = 5*g + h - 195, 0 = 9*h - 12*h + c. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 104397 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 30 - -26. Suppose -s*y - 5 = -57*y. Solve 1 = -4*z + y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2145429499.8 rounded to the nearest ten thousand?\nAnswer: 2145430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -165832, -165845, -165858?\nAnswer: -165871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**3 + 15*r**2 - 20*r - 2. Calculate the remainder when i(-16) is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/1039? (a) -3 (b) 5 (c) -45 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h**3 - 17*h**2 + 13*h + 32. Calculate g(16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 28466 + -28465.9976771. Round u to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -8\/5 in 2\/5, 0.5, 6, 1\/5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v = 5*v + 3*u - 2, 2*u = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -1479*q - 2925. What is the remainder when g(-5) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m + 3 = -3*m. Let u be -1 + 2\/3 + m. Let f = -862 - -865. What is the closest to 2\/7 in 4, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 11 + -7. Let -5107*y**5 + 5002*y**5 - 600*y**2 + 80 - 21*y**a + 400*y**3 + 166*y**4 + 80*y = 0. What is y?\nAnswer: -2, -2\/7, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -96*o**3*r**4 - 3*o**3*r + 89*o**2*r - 7*o*r - 25*r**5 wrt r?\nAnswer: -1152*o**3*r**2 - 500*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2 + 2)*(-2*x + 3*x + x + (2 - 2 - 2*x)*(0 - 1 - 1) + 3*x + x - 6*x + 4 - 4 + 4*x)*(-4*x - 23*x + 10*x).\nAnswer: 136*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 263508?\nAnswer: 2, 3, 7, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 1595403590 to the nearest one hundred thousand.\nAnswer: 1595400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 13, i: 6}?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -179*h + 207*h - 2*h**2 - 305*h.\nAnswer: -2*h**2 - 277*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = 4*m + 1. Is 7161 + (-3 + 7)\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 6*i**2 + i + 18. Let d = 27179 - 27184. What is l(d)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1217233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 3638*y**2 - 40024*y + 66.\nAnswer: 2*(y - 11)*(1819*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide 13688324 by -676.\nAnswer: -20249","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Solve -5*g + 30 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -0.2*-441465\nAnswer: 88293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -22, -51, -72, -79, -66, -27, 44?\n\"Answer: l**3 - 2*l**2 - 30*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -2*g + 33. Let n(v) = 2*v. Give m(n(u)).\nAnswer: -4*u + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 579 + -390. Let l = 277 + p. Let y = l - 423.4. Round y to the nearest integer.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 3 + 2*r**2 + 4*r + 0*r**2 - r**2. Let l be z(-2). Let d(n) = -n - 2. Give d(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 212300*n - 211217*n + 70395 for n.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let 2*k**5\/9 - 1588*k**4\/9 - 16*k**3\/9 + 12704*k**2\/9 + 32*k\/9 - 25408\/9 = 0. Calculate k.\nAnswer: -2, 2, 794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -4 + 2*b + 88*b**2 + 7 + 2*b + 1 + 87*b**2. List the prime factors of s(-1).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*a - k - 9, 15*k = -a + 10*k - 24 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 100510.\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-24)\/(-30)*-1*5. Calculate the smallest common multiple of (-40)\/(-3)*(-6)\/u and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -51*c**3 + 9*c**2 - 2*c - 3. Let j(u) = -22*u**3 + 5*u**2 - 2*u - 1. Let g(k) = -7*j(k) + 3*p(k). Let h(o) = -o - 6. Let d be h(-13). Determine g(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1b7 (base 14) in base 8?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be 66\/(-30) - 2\/(-10). Let t = n - -5. Find the second derivative of -k**t + 61*k**2 - 61*k**2 + 2*k wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.05 - 3.95. Let x = 3 + a. Is x smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3\/8 (b) 7\/25 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*j - 46 = -27 - 194 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 121 + 4560579\nAnswer: 4560700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 121286 and 16.\nAnswer: 970288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 642*o - 9856 = 610*o. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 2*v = 5, -5*w + 10 = -8*v + 3*v. Let d be w*((-2)\/3)\/1. Let i(a) = a**3 - 3*a**2 - 3*a + 1. Calculate i(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (87\/(-1160))\/((-12)\/10). Let w = -33\/85 - -10\/17. Which is the biggest value? (a) -3\/2 (b) w (c) 3 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s**2 + 9*s - 10. Let j be m(8). Let k(f) = -5*f + 1. Let z be k(j). Suppose 3*c - 45 = -5*r - 8, -2*c = -5*r - 33. Solve -5*u + z = -c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -27, -22, -15, -6, 5, 18, 33?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.27 + -0.2702. Round c to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 670283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4\/15*(12 + -9). Let w(o) = -o**3 - 6*o**2 + 9*o + 9. Let p be w(-7). Sort 3, p, q in increasing order.\nAnswer: p, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34*c**2 + c**3 - 16*c**2 - 18*c**2.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 2.32, 3\/2, -4, -0.4, 2\/7, 5 in decreasing order.\nAnswer: 5, 2.32, 2, 3\/2, 2\/7, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**4\/9 - 622*p**3\/3 - 1870*p**2\/3 - 5614*p\/9 - 208.\nAnswer: 2*(p - 936)*(p + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 2 = 4*v + 11, 3*d + 2*v - 13 = 0. Suppose -2*l + s = -37893, 0 = d*l - s - 39134 - 55600. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14 - 10. Solve b - z + 1 - t = 0, -2*b + 3*z + 4 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 18.754362s to days.\nAnswer: 0.000217064375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10002120 - 12?\nAnswer: 10002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3278 and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18\/10*((-11)\/11)\/3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 55769, 55773, 55779, 55787?\nAnswer: 55797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q - 1. Let g(a) = 4*a - 19. Suppose 228*p + 642 + 224 = 182. What is p*o(k) - g(k)?\nAnswer: -k + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-17 - (1 - 2)) + (359 - 353) - (0 + 60)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 9) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -13477424 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 1 - 1)*(-1 + 1 + 2)*(-6 + 6 + 2*w) as s*w + u and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 315 - 307. Solve 2*t + 3*u - l = 0, -18 = 2*t - 4*u + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sqrsdqrddqqqq. Give prob of picking 2 s, 1 d, and 1 q.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = 58 + -248. Let f = 1967 - 17759\/9. Calculate the common denominator of f and (-6)\/(-27) + w\/288.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is two fifteenths of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5.154 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35024794.\nAnswer: 2, 7, 17, 147163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2187 in 5, -1, -9, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 23 and 1279559.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 204174*t**3 + 184420 wrt t.\nAnswer: 612522*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 60 minutes after 5:47 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 146 or 108?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 15283 = -5*o - 6*v + 15179, 12 = -13*o - 2*v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 133584 = -3151*h + 115*h for h.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4098 - 3934. List the prime factors of s.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-68*b - 76*b - 47*b + 48*b)*(-4 - 15 - 7).\nAnswer: 3718*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 430 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-15)\/(-4) + 3\/(-4). Solve -3*o - 10 = -5*k - m, -k = -3*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 71*d = 580 + 201 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -9*h**3 + h**2 - h + 1. Let r be j(1). Let u be r\/3*(-126)\/6. Suppose -12*p = -11*p - u. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - -3) + -8 + 9 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 7 + -4 - (-3 + -16 + 10 - -22)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -2*h**3 - 67*h**2 - 33*h + 44. What is the lowest common multiple of j(-33) and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the first derivative of 0*p**2 - 1\/50*p**5 + 1\/30*p**4 - p - 3 - 1\/75*p**6 + 1\/15*p**3. Let y(x) be the first derivative of o(x). Factor y(m).\nAnswer: -2*m*(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) be the third derivative of 9*u**5\/20 + 7*u**4\/8 - u**3 - 3*u**2. Factor y(h).\nAnswer: 3*(h + 1)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 2\/2799107 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 38 - 25. Let n = k + -18. Let p = 1 - 1. Which is the closest to p? (a) n (b) 4\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -y + 0*y + 2*y. Let i(z) = -5*z**2 - 2*z. Let m(t) = 6*t**2 + 3*t. Let r(s) = -3*i(s) - 2*m(s). What is r(o(c))?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the first derivative of 146\/3*n**3 + 22\/5*n**5 - 43\/2*n**4 + 32*n - 1\/3*n**6 - 56*n**2 + 200. Let t(m) = 0. Calculate m.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2908 + -2910. Put q, -4\/5, -0.39 in ascending order.\nAnswer: q, -4\/5, -0.39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 262 + -187. Let p(g) be the first derivative of 2*g**3\/3 - 30*g**2 + 96*g + 107. What is the remainder when t is divided by p(29)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -4*v - 1. Let k be v\/(-1)*0 + -23. Let s = -12 - k. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2787465 to the nearest integer?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2\/6087, -1\/4, 1.89, 2\/15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*g = 43*g - 3420. Let q be g\/(-8)*5\/((-30)\/4). Solve q = 7*a + 36 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -332 - -4982\/15. Sort k, -2\/3, 3\/4.\nAnswer: -2\/3, k, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {k: 2, a: 3, j: 2, u: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**3 - 9*m**2. Let l be a(9). Suppose 5*v - 70 = -l*v. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o - 9. Let w be a(10). Let f = w - -49. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (2 - 4)\/(-2) - -33.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/((-40)\/30))\/(6\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 3*s - 8 - 51 = 0, 9 = -3*s. Suppose 5*f = k, 5*u - f = u + 95. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 579940503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -1, -32503, 609 in decreasing order.\nAnswer: 609, 2, -1, -32503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Do 1080353\/416 and 2596 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 1.2 * 586.205\nAnswer: 703.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1.9292686 minus 175020?\nAnswer: -175018.0707314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = -2*d - 9, 5*d - 5*l = -3*l - 37. What is the common denominator of -43\/9 and d\/14 + 62\/(-15) + 0?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 152\/259 (b) 0 (c) 0.5 (d) -2\/5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*b = 21*b + 207. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m - 4*c + 3606 = 3625, 4 = m + c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 4, a: 5, d: 1}. What is prob of picking 2 z and 1 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 100275592 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: Let f = 418.039 + -3.039. Put -3, 4, f, -2\/7 in descending order.\nAnswer: f, 4, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 480 and 5568?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -201*c + 15360 = -368*c + 327*c for c.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-780)\/(-460))\/13)\/(-10*2\/20).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3)\/(5\/(110\/(-429))). Find f, given that w*f**2 - 6\/13*f**3 + 0*f + 0 - 8\/13*f**4 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 + 1 = 2*s. Suppose 2*v = 5*k - s, -3*k + 30 + 18 = 4*v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aj when two letters picked without replacement from aajja?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 102*t + 83*t - 183*t. Let u(v) = 149*v**2 + 3*v. Determine u(x(b)).\nAnswer: 596*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3, 0.0425, 0.5?\nAnswer: 0.0425","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 23376853309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -79\/91 + 1\/91. Let v = -0.2 - 0. Let g = 0.1 + v. Which is the biggest value? (a) u (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11\/22*(-2)\/(-4)*-2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24794 is divided by 53?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in -3, 2, -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 329 = -2*i + 5*l, 0*i - 500 = 3*i - l. Let g = 207 + i. Calculate the greatest common factor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -2*j - 493. Let h(d) be the second derivative of d**3\/3 - 452*d + 3. Determine h(o(n)).\nAnswer: -4*n - 986","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3876454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i be 12*4 - 0 - 0. Let y = i - 110. Let r = 88 + y. Solve 4*h + 5 = -4*z + 29, -5*h - z = -r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 22 + (74 - 72)\/((-80)\/424)?\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.8 (b) 1 (c) -0.1 (d) 0.1 (e) -1\/291\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 5476620\/80*(-8)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-16)\/(-16))\/(1\/2). Suppose -3*g + 5*i + 8 = -6, j*g + 4*i = 2. Factor 8\/5 + 2\/5*t**5 + 10*t**2 + 32\/5*t + 38\/5*t**g + 14\/5*t**4.\nAnswer: 2*(t + 1)**3*(t + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 + (6 - -4))\/(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 564 minutes before 1:53 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -314c (base 13) to base 2.\nAnswer: -1101010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-5 + -2*(sqrt(3) + sqrt(6)\/sqrt(2)) + sqrt(336)\/sqrt(7)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -3 times -31849\nAnswer: 95547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be -10 + (-1 + 0)*0. Let b = y + 12. Suppose q + 4*w = 3*w + 100, 186 = b*q - 5*w. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0\/(-2) - (-10)\/1. Suppose 4*z + 4*v = 20, 2*v = -0 + l. Let f = 3 - z. Solve m + r + 2 = -1, 5*m + f*r = -11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2537601*r**4 - 2102136*r**2.\nAnswer: 60902424*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify i*(i*i**(-3\/2)*i)\/i*i*i*i**(-16)*i assuming i is positive.\nAnswer: i**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -3*w - 9. What is the smallest common multiple of g(-7) and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 - -16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5099, -5083, -5057, -5021, -4975?\nAnswer: -4919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 68*y + 4. Let m = 19 + -20. Let g be r(m). Let c = g - -186. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -4*s**3 - 10*s**2 + 7*s + 13. Let w(q) = 2*q**3 + 5*q**2 - 3*q - 7. Let x(z) = 4*o(z) + 7*w(z). What is the units digit of x(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 13 - 49 = 0. Let q = 4 + -4. Suppose q*v - 34 = -5*v - 3*n, -v + 5*n - 10 = 0. What is the remainder when z is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -2*d**2 - 18*d + 20. Let x be g(-10). Let i(l) be the second derivative of x*l**3 + 1\/30*l**4 + 0 - 1\/5*l**2 - 4*l. Let i(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -6227633515860 - 1.09.\nAnswer: -6227633515861.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2658 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2534244?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*o**4 + 36672*o**3 - 36668*o**2.\nAnswer: -4*o**2*(o - 9167)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2.16 - 2.2. Let a = n + -2.86. Let b = a + 1.9. What is the third biggest value in 0.3, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -404*q + 424*q = 640. Suppose 0 = q*b - 20*b - 720. What is the smallest common multiple of 4 and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g**2*g))**20)**(-24) assuming g is positive.\nAnswer: g**960","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the third derivative of -w**9\/84 - 43*w**8\/336 + 172*w**5\/15 - 16*w**2 + 20*w. Find the third derivative of j(c) wrt c.\nAnswer: -720*c**3 - 2580*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -2 + 3 + (-3)\/6. Let s(u) be the second derivative of k*u**4 - 1\/3*u**3 - 2*u**2 + 0 - u. Solve s(m) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 220*c**3 + c**2 + 2*c + 1. Let z be w(-1). Let s = -51 - z. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-10)*b*b)\/(b*b*b**(-17)*b*b)*(b*b*b**(-3\/25))\/(b*b**(-1\/2)*b))**(-44) assuming b is positive.\nAnswer: b**(-5918\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1cbbb (base 13) in base 14?\nAnswer: 16a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is x in -x**5 - 29*x**4 - 199*x**3 - 171*x**2 = 0?\nAnswer: -19, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26224917?\nAnswer: 3, 8741639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 11 + 10 = 3*b, 0 = -2*b + 2*p + 14. Let h be b*1 - (-3 - -2). Let c = h - 1. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5148, -5147, -5144, -5139, -5132, -5123, -5112?\nAnswer: -5099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) be the second derivative of -r**5\/30 + 133*r**2\/2 + 144*r. Let a(i) be the first derivative of g(i). Let s(z) = -8*z + 1. Give s(a(o)).\nAnswer: 16*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -4983*x - 275. Determine r(0).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a be (4\/3*-3)\/((-34)\/561). What is the remainder when 17 is divided by (-1)\/(a\/18 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*c**3 - c**2 + c**2)*(3*c**2 + c**2 - 2*c**2).\nAnswer: -10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -659256 + 2*a + 659256. Let z(b) = -3*b - 2*b + 0*b. Calculate z(p(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -5*o + o. Suppose 4*w - 4*t = w - 16, -3*w - 4*t = 8. Which is the second biggest value? (a) o (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 389 is divided by 385?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -2*(-2 + sqrt(1872) + sqrt(1872) + 0 + 4 - (-5 + sqrt(1872)*1 + sqrt(1872) + sqrt(1872) + -2 + -5)))**2.\nAnswer: -1584*sqrt(13) + 8577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -403\/3 - -135. Which is the nearest to m? (a) -2\/3 (b) -10 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 31 + (1 - 13) - 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -866, 4, -5, -4, -3, 2, -260 in descending order.\nAnswer: 4, 2, -3, -4, -5, -260, -866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-76)\/(-95) - 20\/(7200\/7758).\nAnswer: -83\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = -4*r - 0*i + 8777, 2213 = r - 5*i. What are the prime factors of r?\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -79828171*f**2 - 129517375 wrt f.\nAnswer: -159656342*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 4 = 5*f. Suppose -3*g - 46 = 6*v - 2*v, 12 = -v - g. Let n = v + 10. Solve -2*a + 11 = -n*h - h, f*h = 2*a - 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -92044*n + 46140*n + 45900*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -m - 5. Let s be x(-7). Suppose -2*p + 40 = s*p. What are the prime factors of 10\/p - (-31 - -1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - -6) + 64\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p + 8 = -4*n, -3*p + 67*n + 8 = 63*n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 9.492194 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 - 2*o)*(442*o**3 + 476*o**3 + o**2 - 1316*o**3 + 512*o**3 - 29*o) to the form y*o**4 + v + c*o**3 + a*o + s*o**2 and give y.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11 - 6\/3)\/(829\/(-1658)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1138, 2287, 3442, 4603, 5770?\n\"Answer: 3*h**2 + 1140*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is w in 4*w**2 + 557879*w - 8369085 = 0?\nAnswer: -557939\/4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 703 (base 10) to base 4\nAnswer: 22333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 13193538601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -n + 29*t + 27*t + 45 = 2*n + 6*n + 58*t, -t = -9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2414 (b) -1.6 (c) 0.3 (d) -6 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4030 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71*c = -68*c - 543. Let d = c - -66. List the prime factors of d.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 17 + -29. Let h = x - -12.5. Let m(j) = -j**2 - 5*j + 6. Let p be m(-6). Which is the closest to 2? (a) p (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 108183 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -0.18*-3919\nAnswer: 705.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 5a7a (base 12) in base 14?\nAnswer: 39ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Do -3316161 and 1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 44? (a) -1\/8 (b) -6 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand k**4 + k**4 - k**4 + (3*k**3 - 4*k**3 - k**3)*(1 - 1 + k) + 0*k**4 - 2*k**4 + k**4 + 0*k**4 + 2*k**4 - k**4 + 0 + 5*k**4 + 0 + 69*k**4 - 63*k + 63*k.\nAnswer: 73*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4807 - 4806.96073. What is v rounded to three dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:02 PM and 2:18 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vttvqiiiqeettqet. Give prob of sequence vtve.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2552169?\nAnswer: 3, 101, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:49 PM and 4:17 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 16, u: 1, z: 1}.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 3 + 4 - 371*y + 373*y - 4. Let g(u) = 110*u - 212*u + 103*u. Determine -g(z) + p(z).\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a + 27 = d, -a + 5*d = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -2*l - 32. Let b be v(-18). Let z be ((-16)\/(-12))\/(96\/18 - b). Solve -2*k - 5 = z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -434 divided by 237\nAnswer: -434\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p - 0*p + 6. Suppose 2*b - 21 = -3*q + 4, -4*q = -p*b - 5. Solve 4*f + 4 = -2*y - 6, 2*y = -q*f - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - -3*(-332)\/(-252))*6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(2\/25)*q*q**(2\/11))**(-10\/13) assuming q is positive.\nAnswer: q**(-694\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 19*w + 3323. Let o(n) = -86*n - 13290. Calculate 9*l(s) + 2*o(s).\nAnswer: -s + 3327","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d and 1 e when three letters picked without replacement from eeedddddeeed?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8.511 - 8.411. Let c be 8\/14*((-43)\/(-8) - 5). What is the closest to t in 2\/5, c, -0.5, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, -3\/4, -1\/4, -172?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in -404, -1\/7, 2.2, 2, -0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z - z = -4*l - 75, 3*z + 3*l = 270. Is z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*d + 0 + 0)*(-6 + 7 - 2 + d).\nAnswer: 5*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 3 = 4*q - 3. Let n(o) be the first derivative of 1\/2*o**4 - 8 + q*o + 2\/3*o**3 - 2*o**2. Determine w, given that n(w) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28083 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = 22705 - 22446. What is the remainder when 560 is divided by d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 149 minutes before 9:35 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 45 + (39 - 118) - (1 - 53)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide (-1732)\/(-24) + (-2)\/(-12)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2268 a factor of 47740004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y - 3*f + 11, -f + 9 = -y. Let k be 8\/6*(-1)\/y. Let z be -7 + ((-9)\/153)\/(2\/(-242)). Which is the nearest to k? (a) z (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/((-3)\/(-396)) - 3. Let y be p\/(-2) - 2\/(-4). Let w = -383\/6 - y. What is the second smallest value in w, 0.1, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = n - 12. Let f = n + 0. Let q(t) = t**3 - 7*t**2 + 5*t + 7. Let g be q(f). Which is bigger: g or 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1129 greater than or equal to -3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**3 + 3*o**2 - 3*o + 7. Let c be z(3). What is the second smallest value in 2\/13, 0.4, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6057*m**3*q**2 + 3*m**3 - 2*m**2*q - 2*m**2 + 6*m*q**2 - 7*m*q - 3*m - 245*q**4 - 7149*q wrt q.\nAnswer: 12114*m**3 + 12*m - 2940*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 4, n: 1, y: 1, w: 1, v: 1}. Give prob of picking 1 y, 1 w, and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6585\/(-18975) + (-2)\/(-11). Let w = 10\/23 - s. Let t = 5 + -3. What is the nearest to t in -1\/3, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = -2*i + 5, 11*o = -5*i + 14*o - 15. Which is the third biggest value? (a) -5 (b) i (c) 473\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3962625?\nAnswer: 3, 5, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 80129360 smaller than 80129361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 * 0.05935327.\nAnswer: 0.23741308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1*(-2)\/(-28))\/((-2)\/(-4))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3\/55 in -1, 0.4, 8, -259, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -6 times 89.44\nAnswer: -536.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(84)\/(sqrt(3)*-2 + sqrt(3) - sqrt(3)) + (sqrt(112) - 2*sqrt(112)))\/(((2*sqrt(224))\/sqrt(7))\/sqrt(8)).\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -13.9 - -0.9. Let x = 10 + d. Let y be 3*6\/(-9) - (-72)\/108. What is the closest to y in x, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -219, -887, -1999, -3549, -5531, -7939, -10767, -14009?\n\"Answer: b**3 - 228*b**2 + 9*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 254 minutes before 7:53 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -2*j**3 + 15*j**2 + 2*j - 33. Let t(b) = b**3 - 8*b**2 - b + 16. Let f(l) = 5*t(l) + 2*v(l). Let d be f(10). Solve -h = d*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (1\/(-1))\/(2\/(-2)). Let m be j*(1 - 2 - -2). Factor 2*h**2 + 5 - m - 6.\nAnswer: 2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30*o**2 - 102*o**2 + 95*o**2.\nAnswer: -37*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 3*g**2 - 360*g**4 - 3 + 5*g**3 - g + 184*g**4 + 6 + 189*g**4 as l*g**4 + f + d*g**3 + c*g + q*g**2 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1 + 1428\/30)\/(1\/5). Let x(b) = -3*b - f + 233. Let v(u) = -10*u**2. Determine v(x(d)).\nAnswer: -90*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:12 AM and 7:35 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -40 - -42. Suppose j = -0*o - y*o - 39, -77 = 2*j + 3*o. Let m = j + 38. What is the nearest to m in 18, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1134*w**4 - 580*w + w**2 - 245*w - 228*w wrt w?\nAnswer: -13608*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 + ((-24)\/(-2))\/4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -183 - -187. Suppose -d + 2761 = g*y, 4*d - 6*d - 1368 = -2*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 130*i. Let p(u) be the second derivative of -u**4\/2 + 53*u. Determine x(p(g)).\nAnswer: -780*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -46d (base 14) to base 12.\nAnswer: -615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 25 + -21. Suppose 6*c - 3*c + 3*q = 1098, -1456 = -h*c - 2*q. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -69*q - 685. Let w be x(-10). Solve -i + 3 = 2*h - 3, 3*i - 14 = -w*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -172 + 194. Let u be -3*1\/4*(18 - f). Let h = 1 - 1. Solve h = -u*d - 4*v - 16, -5*d - v + 0*v = 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 205698.\nAnswer: 2, 3, 34283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.128941 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.263 * -0.5.\nAnswer: -0.1315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 109 or 103?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -10143184*w + 40572743. Calculate t(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.7857 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 253 plus -187639?\nAnswer: -187386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 37304*r**6 - 48*r**3 - 123*r**2 - 10486*r?\nAnswer: 4476480*r**3 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -5345024 (base 6) in base 5?\nAnswer: -31403023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4426396027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a be (5\/10)\/(3\/36). Find w such that 53*w + 3*w**5 + 0*w**2 - 56*w + 6*w**2 - a*w**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -4*x + 4. Is 4 a factor of q(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*a + 35*a - 98 = 0. Calculate the greatest common divisor of 63 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1122101002 (base 3) to base 9\nAnswer: -48332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t = 2*s + 123 - 134, 4*t = 2*s - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4*(-2)\/(-60))\/(4\/24)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -75 + 17108*l + 36828*l + 75.\nAnswer: 53936*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = 6*q - 4*q + 117366, -q - 58669 = 5*m. Let o = -6162406\/105 - q. Let l = -3\/35 + o. What is the closest to -1 in 4, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-16))\/((-6)\/(-32))*15*2\/(-22)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(336) - (sqrt(336) - sqrt(336)*2*2 - sqrt(336)))\/(sqrt(441)\/(sqrt(7)*2)) + 0.\nAnswer: -5 + 40*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*b**3*d**2 - 40100044*b**3*d + 2*b**3 - 24*b**2*d**2 - 2259192*d**2 wrt b?\nAnswer: -12*d**2 - 240600264*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 33, -5, 37.\nAnswer: -5, 2, 33, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10423 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31 is divided by 7 - 4*2*50\/100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i\/i**5*i*((i*i\/(i*i**(-3)))\/i)\/i*i*(i*i**(-4)\/i)\/(i**(-2\/3)\/i) assuming i is positive.\nAnswer: i**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -91, -76, -1, 176, 497, 1004?\n\"Answer: 7*k**3 - 12*k**2 + 2*k - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1784837226.\nAnswer: 2, 3, 6827, 43573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6*-4*(-7)\/112?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (38\/(76\/(-6)))\/((-7)\/((-98)\/(-12)))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the first derivative of -7*r**6\/6 - 11*r**3\/3 - 5. Find the third derivative of n(h) wrt h.\nAnswer: -420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-8)\/(-16) - 3\/14. Let i = 0.94 - 0.8. Let h = i + -0.19. Are k and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -45, -37, -31, -27, -25, -25?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*x + 104028 + 15*x - 104028.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6313492ug in milligrams?\nAnswer: 0.0006313492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 4 + 17 = 3*y, 3*d + 9 = 3*y. Let i = 3 + y. Solve i*k - 3*k = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -3*d + 8. Calculate j(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (28 - (-16 + 25)) + -23?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(98) + -1*sqrt(98))*5 - sqrt(98)) + sqrt(98))**2 - (1 + (sqrt(2) - sqrt(32)) - (1 + sqrt(8))).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -208484 + -3?\nAnswer: -208487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 23 + 25 = 12*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -1165*s + 1164*s = 9 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:26 PM and 8:25 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6407?\nAnswer: 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -k - 4*k**3 + k + (0*k - k**2 + 0*k)*(-4 + 2*k + 4) + k - k - 2*k**3 + (2 - 2 + 2*k**2)*(-2*k + 5*k - k) + 0*k**3 + k**3 + k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 21*q**4 - 106*q**3 - 45*q**2 + 70*q - 6. Let i(t) = -20*t**4 + 105*t**3 + 45*t**2 - 70*t + 5. Let m(r) = 6*i(r) + 5*v(r). Factor m(y).\nAnswer: -5*y*(y - 7)*(y + 1)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -52*w - 4. What is the hundreds digit of q(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 7192300*1\nAnswer: 7192300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**2 - a - 1. Let q(s) = -s + 2. Let r be q(1). Let o(m) = 5*m**3 - 2*m - 2. Let w(y) = r*o(y) - 2*z(y). What is the third derivative of w(t) wrt t?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:37 AM and 7:27 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 454812 (base 13) to base 6\nAnswer: 55035540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 2*p - 3*p**3 - 6 - 4*p**2 + p**3 + 0*p + 3*p**3. Is d(6) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:55 AM and 3:41 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/14268375 and -91\/22829400.\nAnswer: 114147000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -232 - 355*a**2 + 234 + 0*a**4 + 2*a**4 + 877*a**2 as r + g*a**4 + u*a + y*a**3 + n*a**2 and give n.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 6547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-3132)\/1296)\/((-110)\/(-8)) and -89\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the second derivative of -104*u + 7203\/10*u**2 + 1\/20*u**4 + 49\/5*u**3 + 0. Factor i(f).\nAnswer: 3*(f + 49)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -4*r - 9. Suppose 4*i - 7 = 21. Calculate the remainder when c(-7) is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the first derivative of -f**3 + 31. Let v(y) = -22*y + 2*y + 30*y - 1 + 11*y. What is v(o(j))?\nAnswer: -63*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8542.\nAnswer: 2, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4335726 is divided by 2250.\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (370\/(-6845))\/((-3)\/(-27)*6)?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7\/66727 or 0?\nAnswer: -7\/66727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 10 = -3*k. Suppose 4*j + 3 = 7*j, -k*j = 5*n - 97. What is the tens digit of n\/(-4)*(-4)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r + 0 = 2, 16*r = 2*z + 13*r + 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u**3 - 5*u**2 - 4*u - 6. What is the remainder when 10 is divided by z(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*o + 11*o = -18560. Let q = o + 3467\/6. What is the common denominator of q and 121\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -185 + 185.1. Let s = -0.4 - 0.1. Let q = 1 + 0. What is the nearest to a in 3, s, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the first derivative of 1\/20*h**5 - 1\/6*h**3 - 1\/12*h**4 + h**2 + 0*h + 2. Let w(r) be the second derivative of s(r). Give w(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (15\/12)\/((-2)\/(-8)). Suppose -j*c + 40 = 3*b, 0*c + c - b = 0. Solve 0 = c*p - k - 0*k - 26, -4*p + 4*k + 24 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 218 + -86. Is (b\/99)\/(2\/663) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7423 in -0.9, -0.2, -3, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 6794 equal to 6823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -2, -8, 2 in ascending order.\nAnswer: -8, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7? (a) -5 (b) -18 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pj when two letters picked without replacement from jjpjjp?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 81875*c**2 - 81875*c**2 + 1430*c**3.\nAnswer: 1430*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1462415*d**2 - 4*d**3 - 730303*d**2 - 732112*d**2.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-6)\/(-4) + 6 + 11780\/(-8). Let t = f - -2280. Round t to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b**4 + 3*b**4 - 11*b**4)*(-5 + 1 + 3).\nAnswer: 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 249, 232, 215, 198, 181?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-254)\/(-635))\/(32\/10 + -2). Suppose -2*h = -2*j - 14, 8*j - 4*j = 3*h - 24. Which is the closest to -2\/9? (a) f (b) h (c) 2 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -36273 and 0.6?\nAnswer: -21763.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose b**2\/2 - 1909*b\/2 - 93093 = 0. Calculate b.\nAnswer: -93, 2002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -5226 divided by 172?\nAnswer: -2613\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1150.6 + -1151. Sort -2.57, 5, 0, -2\/11, a in ascending order.\nAnswer: -2.57, a, -2\/11, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 0*l = 0. Suppose -x - 3*i + 13 = 0, i - 63 = -3*x - l*x. Let o = 4 + x. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q**3 - 19*q**2 + 26*q - 13. Let w be (-21)\/6*2*-1*-3. Is c(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5230205 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 352, 353, 346, 325, 284, 217?\n\"Answer: -d**3 + 2*d**2 + 2*d + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 2*b - 4*w + 5, -b + 1 = -w. Suppose 2*g + 3*z - 23 = -2*g, 5*z - 33 = -4*g. Calculate the smallest common multiple of b and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/((-6)\/12 + (-90)\/(-468))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 851*c + 2982. What is u(-3)?\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eded when four letters picked without replacement from dddedee.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23 - ((-19 - 42) + 17).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 713069593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {k: 2, p: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1189 + 0*k - 1216 + 2405 - 5*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**2 - 10*w - 4. Let k be r(-8). Let u be 10\/15*k\/2. What is the second derivative of -3*p - 4*p**5 - p**4 + p**u + 6*p**5 wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 1 + 1)*(1 - 1 + c) - 278*c - 42 + 593*c + 44 to r*c + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-28)\/(-14)*(160\/(-10))\/304?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -105 + -16?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2122, 2602, 3082?\nAnswer: 3562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bbbbbbbbbbbbbubbbbub?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -9, -0.2, 3, 0.2473, 5 in descending order.\nAnswer: 5, 3, 0.2473, -0.2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 1117600 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - (-1 + 1)) + (4489 - 4477).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by -198867038\nAnswer: -1\/198867038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 47a + -5?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 4*t**2 - 13. Let n(u) = -9*u**2 + 34. Calculate 5*j(f) + 2*n(f).\nAnswer: 2*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 165 = -0*u. Let s be (u - 0) + 2 + -3. Calculate the greatest common factor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 7979, 7986, 8005, 8042, 8103, 8194, 8321, 8490?\n\"Answer: t**3 + 7978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 0 - -57545?\nAnswer: 57545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -5390000 rounded to the nearest 100000?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2003516*t**2 + 1438389*t?\nAnswer: -4007032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 536.74408, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1585?\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -40 + 158. Suppose 4*d + 18 - y = 0. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-6*(2*sqrt(343)*-4 + (6*sqrt(343) - sqrt(343)) + -5 + 5)*1)**2.\nAnswer: 222264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 7) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1101101101010001100 - 1010?\nAnswer: -1101101101010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let b be ((-2160)\/81)\/(0 - (-2)\/3300000). What is b rounded to the nearest 1000000?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*y**3 - 1 + y**2 + 226*y - 226*y to the form r*y**2 + l*y + u*y**3 + j and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -48618054*m**2 + 14928795 wrt m?\nAnswer: -97236108*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 44\/55*800\/(-128)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 11225030 and 10?\nAnswer: 11225030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 517 is divided by 87.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2330672*t - 7934280*t - 3857279*t - 9837633*t.\nAnswer: -23959864*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 300061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -2627601*i**2 - 15*i - 50. Let x be f(-5). Round x to the nearest 1000000.\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wbubbbube. What is prob of picking 2 u and 1 e?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z - 1. Let p(k) = 8*k + 29. Let w(b) = -5*i(b) + p(b). What are the prime factors of w(15)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2703 - -2733. Which is the nearest to 5? (a) p (b) -3\/7 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -8 by 6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -9 - (13 + 18 + -41 + -9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uuujuuuj. What is prob of picking 1 u and 2 j?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1b81b + 5?\nAnswer: 1b823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 137553 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l = 4*l - 12. Let n be 2*(-93)\/6 + l. Let t be n\/231*18\/4. Do t and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32 + (-29 - -113) - 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1000011110000101110 (base 2) in base 13?\nAnswer: -99440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 22*f**2*k**3 - 2306906*f**2 - 221921395*k**3 wrt f.\nAnswer: 44*f*k**3 - 4613812*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001324 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/1*(-14)\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n + 706 = 2*o + 691, -o = n - 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -54 - (-6 + (5 - (4 - (9 - 1))))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 32 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 103\/24 and 37\/356.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the third derivative of -3*f**8\/112 - 19*f**7\/210 - 3*f**5\/20 - 13*f**3\/6 - 296*f**2. Find the third derivative of i(u) wrt u.\nAnswer: -540*u**2 - 456*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*o + 109*o = 733390. List the prime factors of o.\nAnswer: 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 6 - 4 = 0. Suppose -146 - 70 = -m*a. Let y = a + -45. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3 + 4. Suppose 112 = o + 3*o. Let t be 16\/o*(-2)\/4. Which is the second smallest value? (a) -1\/4 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 1143, -9875 in decreasing order.\nAnswer: 1143, 0, -9875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = o**3 + 2*o**2 - 2*o + 1. Let q be l(-4). Let d = q + 26. Suppose -3*h = d*y - 2220, 3*h - 3*y - 1495 = h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l**2 - l. Let n(r) = -18*r**2 + r. What is k(y) + n(y)?\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = 153 + 12. Calculate the smallest common multiple of 12 and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that 5*o**4 - 255*o**3 + 720*o**2 = 0.\nAnswer: 0, 3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sum -295213.65 and -1299.\nAnswer: -296512.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -7*j + 163. Let t be z(-43). Calculate the greatest common divisor of t and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3548 divide 74203020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -8, 28, 76, 130, 184, 232, 268?\n\"Answer: -v**3 + 12*v**2 + 7*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -23.9156 to one decimal place.\nAnswer: -23.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j be 6*6\/(-180)*25. Let m be (-3 - (2 - 8)) + -3. Which is the second smallest value? (a) -1 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o + 4*o + 8352. What is the tens digit of (2\/(-4))\/(16\/o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - g - 3)*(-11 - 9 + 26) to l + s*g and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-135)\/6)\/5*7712\/(-48)?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i and 1 q when three letters picked without replacement from {i: 2, q: 6}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0 (b) -2 (c) 617\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -3 - -1145\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 23524 + -3?\nAnswer: 23521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3 + 2 - 3)*(3*c - 2*c + 0*c) - 3*c + 2*c + 3*c)*(-3*c**2 + 3*c**2 - c**2)*(-7284 - 5557 + 9861).\nAnswer: 11920*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 1855 = -3*z, 40*z + 1863 = 43*z - 3*y. Calculate the remainder when z is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -87685 + 0?\nAnswer: -87685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1280 + 208 = 16*o. What is the greatest common divisor of o and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -996855000 rounded to the nearest one million?\nAnswer: -997000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 518950000 to the nearest one million.\nAnswer: 519000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 372 is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 58, -1.04, -0.5, -2, 155?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 7723 >= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*y - 5*y + y)*(-3 + 3 - 4)*(143 - 352 - 336) to the form v + f*y and give f.\nAnswer: 2180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = -70 + 75. Let t(n) = 173*n + 6. Is t(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10 + 0 + -2 - -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.0566 (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-11)\/(-77))\/(1\/(2\/1))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - h - 2*h + 1198 = 0, 4*h = 3*x - 886. Let i = x + -151. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -6801*4\/(-180) + 4\/(-30). Suppose -5*g - q = -2706. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6252*p**5 - 8391*p wrt p?\nAnswer: 125040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.98 - -2. Let m = s - 0.13. What is m rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 45\/25*(20\/(-6))\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 22 = 6. Suppose 0 = 3*o - 172 - k. What is the tens digit of (o\/(-16))\/(-5) + (-939)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-6)\/52)\/((-1260)\/(-9)). Let d = -837\/69160 - j. Let k = d + 583\/4522. Which is the closest to 0.2? (a) k (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-160)\/(-25) + 9\/15. Suppose 2*u - j = -3*u + 3*d, -d = -u + 1. List the prime factors of (112 - (-4)\/(-2))*1\/u.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**4\/10 + g**3\/5 + 7*g**2\/10 - 2*g + 6\/5.\nAnswer: -(g - 2)**2*(g - 1)*(g + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 107 = -2*i + 117. Suppose -i*n = -11*n + 12. Calculate the lowest common multiple of ((-22)\/4)\/(4\/(-8)) and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -6\/6575 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be 5 - (-3)\/(-2082)*(-62484)\/(-18). Is 1 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -18615 or -24662?\nAnswer: -18615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 1507, -14, 4.\nAnswer: -14, 4, 1507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*m = 29*p + 28*m + 2382, 3*p + 3*m + m = -254 for p.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.009 + -3.909. Let r = f - -3.52. Let t = 1.52 - r. Round t to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 100 and 9609500.\nAnswer: 9609500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -251699, -70, 3 in descending order.\nAnswer: 3, -70, -251699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**2 - m - 8. Let f(t) = -t**2 + 16*t - 28. Let c = 38 + -26. Let p be f(c). Suppose -5*y + 4*x = -2*y + 16, p = -5*y + 5*x. What is k(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 670697177 to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 65*v**5 + v**4 + 12881*v**3 + v**2 + 3981*v + 40741?\nAnswer: 3900*v**2 + 24*v + 77286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 12*j**3\/5 - 4*j**2\/5 - 24*j.\nAnswer: 4*j*(j + 3)*(3*j - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 33850*x + 1523237. What is t(-45)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 f and 1 n when four letters picked without replacement from nffnnfffnnff?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -13*g**3 + 1884*g**2 + 144*g + 150. Determine i(145).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -43 + 51. Suppose a - 137 = -3*g, -4*g + 22 = -5*a - 167. Suppose -g*h = -48*h + t. What is the lowest common multiple of h and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6.07 + 5.77. Which is the second smallest value? (a) x (b) -10 (c) 1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**2 + 551*d - 1103. Calculate a(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -76 = -2*x - 3*w + 79 - 156, -2 = 2*w. Let p be 8\/(-10)*(-5)\/(-1). Suppose -1 = o + 4. Sort p, 4, x, o in decreasing order.\nAnswer: 4, x, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.056 - -2.056. Let p = 1.1 - 1. Put p, d, 1\/5 in decreasing order.\nAnswer: d, 1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*p = -4*p. What is the nearest to p in 2\/3, -2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -4*n**2 - 8*n + 48. Let l be -28*((-2)\/5 + 15\/100). Let c(j) = -9*j**2 - 15*j + 94. Let v(t) = l*f(t) - 3*c(t). What is the derivative of v(b) wrt b?\nAnswer: -2*b - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:20 PM and 8:25 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Are -161134 and -161100 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.5 (b) 1 (c) 2 (d) 6\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6 + 1. Suppose 1 + 27 = m*q. Let w(l) = -l + 9. Let n be w(5). Is n greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 355179?\nAnswer: 3, 11, 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 2434319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i - 5*m + 16 + 14, 5*m - 10 = 0. Let h be -1 + i\/(-8)*6. Suppose h*v - 34310 = -8*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o, 1 z, and 1 m when three letters picked without replacement from mzomc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -64 - (16 + -26 + 21 - (5 - (1 - 2)))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7817169 - 6*p**3 + 7817169.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x + 1. Let u be l(3). Let o = -0.01 + 2.01. Let t = 7287.2 + -7288. Which is the smallest value? (a) o (b) -3\/5 (c) u (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 38093932 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be (133\/38 + -1)*4\/91. Which is greater: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -212, -733, -1598, -2807, -4360?\nAnswer: -6257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/r**(1\/5)*r*r)**49*r\/(r\/(r*r**(1\/2)))*r\/r**(-17\/2)*r*r assuming r is positive.\nAnswer: r**(751\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 2*t**3 + 15*t**2 - 10197*t - 91518. Give q(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -158*g - 95*g - 2*g**2 + 271*g. Let h(w) = -4*w**2. Calculate c(h(b)).\nAnswer: -32*b**4 - 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*o**4 - 143289*o**3 + 327441*o**2 - 225099*o + 40926 = 0.\nAnswer: 2\/7, 1, 6821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 810908018 a multiple of 2517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -79 + f - 6*f + 3*f + f in the form l + q*f and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(-5 + (-2*sqrt(700) + sqrt(28))\/sqrt(4)))**2.\nAnswer: 90*sqrt(7) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 70\/3768543 and 4\/9?\nAnswer: 3768543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8652 divided by 4326.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 207 divide 21224341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7 + 3.7. Let x = 3 + o. Let y = x + -0.7. What is the smallest value in -1\/2, y, -2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*w + 1440 = -3*w. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 17 - 32. Let v = 14 + j. Let r be ((-7)\/14)\/(v\/(-6)). Let a(p) = 6*p**2 - 2*p + 4. Let c(s) = 7*s**2 - 3*s + 5. Calculate r*c(k) + 4*a(k).\nAnswer: 3*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1*5 + -1 + -1. Suppose 3*p = -f*a - 5 + 2, a - 11 = 3*p. What is the third derivative of 5*b**a - 6*b**2 + b**3 + 0*b**2 wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 5}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 2*b**2 - b - 2. Let t be w(2). Suppose h + t*h - 10 = 0. Suppose -h*r - 1 = -7. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 2*g**3 + 1630*g**2 + 3242*g - 8209. Give y(-813).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -bcb (base 15) in base 4?\nAnswer: -221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3 - ((-6)\/(-2) + -2). Let f(r) be the third derivative of 13*r**5\/60 - r**4\/8 + 5*r**3\/6 - 76*r**2. List the prime factors of f(o).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -y + 19, 0*f - 18 = -2*y + 3*f. Suppose -2*s = -l + 6, y*l + 2*l - 5*s - 15 = 0. Suppose 3*d - 32 + 20 = l. Solve -d*g = -3 + 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x**4\/5 - 12*x**3 - 506*x**2\/5 - 168*x - 392\/5 = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 15137434.87 - 15137619.8699718. Let s = o - -185. What is s rounded to 6 dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 871 - 548. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38944*b**2 - 256 + 256 - 38946*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -48807018 divided by 625731?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (1 - -6) + (-4680)\/648\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 4, u: 4, j: 6}. Give prob of sequence jjuj.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5030 is divided by 4990?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 4*k = 45. Let t be 47\/k + (-8)\/36. Find the third derivative of 2*w**2 - 2*w**6 + 4*w**2 - t*w**2 wrt w.\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w - 3. Let f(h) = 2*h + 9. Suppose 2*l = 3*l - 4. Let n(a) = l*f(a) + 11*x(a). Calculate n(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:32 PM and 8:05 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -0.4 (b) 1712 (c) -2 (d) -0.1 (e) -1.208\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -l**4\/3 - 610*l**3 + 18503*l**2\/3 + 63136*l - 206080\/3 = 0 for l.\nAnswer: -1840, -7, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -1321133 (base 5) in base 6?\nAnswer: -322150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -111010 - -10010?\nAnswer: -101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 2, j: 7}. Give prob of sequence jzzj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2\/6009 - 12004\/42063. Which is the nearest to 2? (a) 0 (b) -0.042 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h = 6834*j - 6831*j + 90, 0 = -4*j - h - 108 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + w - 4396 = 0, 19*w = 3*n + 16*w - 4380. Does 61 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 188 by 166.\nAnswer: 94\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/2, 64, 3714 in descending order.\nAnswer: 3714, 64, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Add 1.67 and 122254.04.\nAnswer: 122255.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 3*i**2 + 12*i - 9. Let o(d) = 2*d**2 + 6*d - 5. Let n(f) = -5*o(f) + 3*w(f). Determine n(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.132 less than -0.2?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 4*t = -4, -2*y + 218*t = 214*t + 4. Solve y = 409*k - 404*k - 30 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 520*l + 795*l + 3 + 2798*l)*(-5*l**2 + 5*l**2 - l**2).\nAnswer: -4113*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1 + 11101?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -3*p**2 + 3*p**2 - 2*p**2. Let u(k) = -1. Let q(w) = -w - 1. Let c(o) = 2*q(o) - 2*u(o). Give l(c(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o**3 - 8*o**2 + 8*o - 9. Let d be r(-9). Suppose 4*x - 7*x + 15 = d. Suppose x*z + 2 - 22 = 0. Solve q = z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k, 2 r, and 1 p when four letters picked without replacement from prkpkkrp.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n and 1 s when three letters picked without replacement from ssssssssssnnsnsnss.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply 564 and -2.\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21566*f**3 + 15862*f**3 - 23894*f**3.\nAnswer: -29598*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -c**2 + 14*c - 1. Calculate the least common multiple of 16 and w(13).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.28003 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**2\/5 + 1782*f\/5 - 5373\/5.\nAnswer: 3*(f - 3)*(f + 597)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(68) + 4 - sqrt(68) - (sqrt(68) + (sqrt(68) - (sqrt(68)*3 + -1)) + sqrt(68)))**2 + (-3*-6*(sqrt(68)*1 + 1))**2.\nAnswer: 1296*sqrt(17) + 22365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 4413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 70056 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -2*o - 5. Let f be z(-5). Suppose 5*a + 57 = s, -129 - 87 = -f*s + 2*a. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -18*x - 16*x + 39*x + x**3 wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-19)\/(-38) + ((-3)\/((-378)\/(-94)) - (-16)\/(-144))?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 110 - 223?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from {m: 1, b: 1, o: 3, v: 1, c: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4107, -8225, -12355, -16503, -20675, -24877, -29115?\nAnswer: -33395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1633811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c*c**(6\/11)*c)*c*c*c\/((c*c**40)\/c))\/(c\/(c\/(c*c*c**(8\/9)*c)))**48)**(3\/19) assuming c is positive.\nAnswer: c**(-7432\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 1b4388 (base 13) to base 15.\nAnswer: dad4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -38070, -38063, -38056, -38049, -38042?\nAnswer: -38035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -17808 divided by 2544?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 136, 268, 398, 526?\n\"Answer: -t**2 + 135*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = 31*i - 111. Let t be 208\/34 - i - 2\/17. Let -22\/3*x**2 + 24 - 4\/3*x**t + 8*x + 2\/3*x**4 = 0. What is x?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 4 (b) -0.2 (c) -53 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 4*q + 225 + 31 = 0, -5*j = 4*q - 275. Suppose -80*k + 101 = -j. Solve 0 = 5*m + k*u + 21, m = -u + 3 - 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y**2 - 6*y - 3. Let w(r) = r**3 - 6*r**2 - r + 1. Let v be w(6). Let j be c(v). Suppose -j*g = -o - g + 211, 5*o - 1055 = -2*g. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.029 and -63.\nAnswer: -62.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 33841815 to the nearest integer?\nAnswer: 5817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 15*l - 10. Let r be q(1). Suppose -2*t = -3*o - 759, 0 = 2*t + t - r*o - 1140. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -b**2 + 56*b + 85. What is the hundreds digit of i(39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 40 + -39.5. Let k = 4.5 - -3.5. Let u = 8 - k. Sort v, u, 1 in ascending order.\nAnswer: u, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*z + 25 = 27*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s**3 - 26*s**2 + 48*s + 2. Let k be c(24). Let u = 6 - k. Solve -b + u = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -631 (b) 3\/2 (c) -4\/5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -5029*r**2 + 470*r. Let v(c) = 43*c**2 - 4*c. Determine -4*g(l) - 470*v(l).\nAnswer: -94*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7701 and 54813.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -133*n + 5. Is v(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -111 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 5, m: 14}. Give prob of picking 4 q.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = -4*o - 2*s + 72, 2*o = -s + 28. Suppose 24 = 4*a - o. Let c = a + -5. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 63*a**2*o**3 - 3*a**2*o**2 + 12818*a*o**3 + a*o**2 + o**3 - 7*o**2 - 10*o - 3284 wrt o.\nAnswer: 378*a**2 + 76908*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 636850844 to the nearest integer?\nAnswer: 25236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, e: 1, s: 1, l: 2}. What is prob of picking 1 s and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 9*g + 17. Let q(v) = -10*v - 18. Let r(s) = -5*i(s) - 4*q(s). What is the tens digit of r(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 524518 is divided by 4837.\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 10111120 (base 3) to base 4.\nAnswer: 213321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**2 + 10. Let p(m) = m**2 + m + 9. Let b = 48 - 43. Let x(l) = b*u(l) - 6*p(l). Let s be x(-4). Solve -7 = s*z + 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) 0.6 (b) 2 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 2753627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4 + 0\/5 + -2. Suppose w - z = -1. Which is smaller: 2\/11 or w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(1539)*-4)**2.\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 9*f**3 + f**2 + 8*f**3 + f - 4 - 18*f**3. Is s(-4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1169\/(-4) - (-2)\/8. What is the common denominator of ((-5)\/20)\/((-14)\/h) and 77\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21 + -21 + 32 + -28 + 3 - 18.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 100\/37 greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-nine fifths of a century in decades?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a**3 + 508*a**2 + 5949*a - 34. Let y be z(-12). Find o, given that 44\/5*o + 46\/5 - 2\/5*o**y = 0.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 539*m**2 + 437*m + 1304. Let p be q(-3). What is the greatest common factor of p and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = 2*x + 6. Suppose -2*j - 31 + x = 0. What is the common denominator of (74\/j)\/(9\/(-9)) and 24\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2 (b) -2\/4411 (c) 3\/13 (d) 1\/6 (e) -3 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 1448, -3, 124.\nAnswer: -3, -1, 124, 1448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-z**2 + 0*z**2 - z**2)*(2*z + 3 - 3) + 2*z**3 + 0 + 0 - 186*z**3 - 15651*z + 15651*z.\nAnswer: -188*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9*a*d**4*y + a*d**4 + 2*a*d**3*y**2 + a*d**2*y**2 + 2*a*d**2 + 24*a*d*y wrt d?\nAnswer: 216*a*d*y + 24*a*d + 12*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -3 - 1 - i + 4. Let w(j) = 8*j**2 - 17*j - 23. Let u(h) = 3*h**2 - 6*h - 8. Let m(x) = -17*u(x) + 6*w(x). What is s(m(p))?\nAnswer: 3*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 780 = 4*g + 25*g + 10*g for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -17342*o + 238981 = -1429096 + 384769 for o.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 1110210020 (base 3) to base 11.\nAnswer: 1a878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -3677 (base 11) in base 12?\nAnswer: -2943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 7717.842 to the nearest ten.\nAnswer: 7720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 12? (a) -1 (b) -137 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = 3*g + 390, 3*n - 334 = -4*g + 302. Solve n = 7*f + 162 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 122 - 132.6. Let y = -1378 + 1366.81. Let o = h - y. What is o rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*a**3\/11 - a**2 - 9*a\/11.\nAnswer: -a*(a + 1)*(2*a + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 7, r: 9}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = 2*h - 18. Suppose w - h = -3*f, -w = -0*f + f - 2. Which is the smallest value? (a) -2 (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 59611 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 3\/466?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - -5 - 6 - 1 - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(6) - sqrt(24)*2)\/(sqrt(3) + -1*sqrt(300)) + -4.\nAnswer: -7 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u**3 + 30*u**2 - u + 18. Let a be f(-30). What is the highest common factor of 112 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6552 divided by 6.\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -k**3 + 3*k**2 + 4*k - 5. Let c be p(4). Let f = c + 8. Suppose -f = 2*u + 5. Sort u, 5, 4 in increasing order.\nAnswer: u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14645659 divided by -1163?\nAnswer: 12593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -14, -5, -4, 1.44, 8\/177?\nAnswer: 8\/177","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 272*m**2 - m. Let n(b) = -4 - 2*b + 0*b - 18 + 22. Calculate v(n(i)).\nAnswer: 1088*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 17.24697ns?\nAnswer: 0.0000000002874495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 2987117.1 seconds to minutes.\nAnswer: 49785.285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -9 (c) -1 (d) -0.3 (e) -2\/13 (f) 8\/33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24303?\nAnswer: 3, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -w**2\/4 + 165501*w - 27390581001 = 0 for w.\nAnswer: 331002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 3.2 * 0.0004618\nAnswer: 0.00147776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1159016*o**3*u - 208*o*u - 4*o - 66*u + 4 wrt o.\nAnswer: 6954096*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is c in 65*c**3\/3 - 275*c**2\/6 + 80*c\/3 - 5\/2 = 0?\nAnswer: 3\/26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide 2140 by 107.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 5.707 - 0\nAnswer: 5.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001053471264 rounded to 5 decimal places?\nAnswer: 0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 3*p + 2*y, -4*y = -3*p + y - 7. Solve -4 = g + p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = -i, -2*i + 2 = -4*q + 8. Let n(s) = -s**2 - 10*s - 12. Let g be n(-8). Suppose g*k = -f, -3*k = 6 + 3. Solve -f = i*h - 0*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = 2*u, 2*v = u + 4. Suppose 3*b - 2*c + v = -2, -b - 10 = -5*c. Find the third derivative of 2*w**3 + b*w**3 - 2*w**2 - 3*w**3 wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 19 and 817?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be 48\/(-36) + (-7)\/(-3). Let h(i) = 15*i**3 - 2*i**2 + 4*i - 3. Let j = -7 - -12. Calculate the remainder when h(d) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 85\/8136 and -5\/904.\nAnswer: 8136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -11 + 22 - 12 + 5*w + 10*w. Let i(h) = -4*h. Calculate m(i(u)).\nAnswer: -60*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -z**3 - 6*z**2 + z - 10. Let c be j(-7). What is the remainder when 2 + c - (0 - -1) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -92 + 90. What is the third biggest value in -0.1, n, 32?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 209*v - 183*v = -78 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 70.1935735 rounded to 0 dps?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3524 is divided by 168?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 41818 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -9*g - 1. Let o be y(-3). Let x be o - (3 - (0 - -2)). Suppose 0 = -5*d - x. Are d and -5 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -153 (base 10) to base 13.\nAnswer: -ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/t**(-2\/5))**(1\/5))**(1\/15)*(t*t**(-2\/11)*t**6)\/((t*t*t**0*t*t*t*t*t)\/t**(-6)) assuming t is positive.\nAnswer: t**(-25423\/4125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*x + 2*x - 7*x)*(3 - 2 - 3) + 15 - 15 - 3*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c*c**(1\/3)\/c*c*c)*c)**(-31)\/(c*c**(2\/3))**(-46))**(1\/21) assuming c is positive.\nAnswer: c**(29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -c**2 - 43*c - 211. Calculate z(-8).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -2, 0, 1\/3 in descending order.\nAnswer: 4, 1\/3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) be the second derivative of d**6\/1800 - d**5\/200 + d**4\/60 + d**3\/2 + 2*d. Let t(p) be the second derivative of q(p). Factor t(w).\nAnswer: (w - 2)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0*3\/(-6) + 0. Suppose 4*y - 2*d - 2*d + 200 = o, 2*y - 4*d + 106 = 0. What is the units digit of (-4)\/10 + y\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 20 + -17. Suppose -p*i + 8*i - 10 = 0. Suppose 4*m - c - 863 = 0, -i*c + 1069 = -m + 6*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/(-28) + 264\/(-28)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/3*(-4410)\/(-252).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -158*c - 29*c - 79*c + 37*c.\nAnswer: -229*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be -4*((-1)\/2 + 1). Let v(u) = 0 - 3*u + 8 - 9 - 2 + 4. What is the units digit of v(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-50)\/(-5) + 2 + 0. Suppose f = 211 - g. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/4 in -1, -2\/601, -55, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -275 + 2?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 260186 is divided by 505.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*g**3 + 0*g**3 - 5241*g**2 + 2*g**3 + 0*g**3 - 2*g - 4*g**3.\nAnswer: -2*g**3 - 5241*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -b**3 - 4*b**2 + b - 2. Suppose 4*t - 16 = 2*t. What is the lowest common multiple of i(-5) and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the first derivative of m**5\/60 + m**4\/12 + 2*m**3\/3 + 1. Let o(x) be the third derivative of i(x). What is the derivative of o(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*r - 5*s - 1, -5*r + s + 7 = 5*s. Suppose r*w = 5*w. Suppose w = -16*f + 11*f - 266000000. What is f rounded to the nearest one million?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 36942 and 837352?\nAnswer: 2512056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l - o - 11212, -o = -3*l - 10464 - 752. Let x = l + 5358. List the prime factors of x\/25 + (-4)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 69657\/6796 - -1\/3398. Let l = 10 - z. What is the third biggest value in l, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 62 divide 3348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -549 by 183.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ggpppgggpbagbppgga. What is prob of sequence aapg?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -86748*w**3 - 13821 with respect to w.\nAnswer: -260244*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*c + 6138 = 190*c for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + (2 - 5) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6734738 is divided by 59599?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -12, -0.4, -0.2, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 284382040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -19*o - 11*o**4 + 13*o**4 + 3*o**2 + 21*o in the form a*o**3 + t*o**4 + w*o**2 + j*o + g and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(q**(-1\/4)*q))\/(q\/(q*q**(-5)\/q)*q*q))\/(q**(1\/3)*q)**(-41) assuming q is positive.\nAnswer: q**(563\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = -12906 + 154993\/12. Let a = 151 + -61. What is the common denominator of p and (-4)\/4 - (-205)\/a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9855*b**4 + 1465944*b**3 - 1093437*b**2 - 348444*b - 14208 = 0 for b.\nAnswer: -1\/5, -32\/657, 1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-76)\/95)\/(((-4)\/15)\/((-5)\/(165\/154)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r + 3*r + 7*c + 4*c - 7*c - 85 = 0, -6*r + 111 = 3*c for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Total of 83516332845387 and -0.1.\nAnswer: 83516332845386.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 726, 1453, 2180?\nAnswer: 2907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 54*o + 6. Let s be x(-5). Let r = s - -421. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 140 divided by -3?\nAnswer: -140\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -0.41 * -0.005\nAnswer: 0.00205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 33193000 rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1 less than or equal to 111630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 4*l**3 + 3*l**2 - 4*l + 4. Let s be q(2). Suppose 0 = 3*g + 4*x - 13 - 11, s = 5*g - x. What is the lowest common multiple of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3716124, -7432211, -11148298, -14864385?\nAnswer: -18580472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p**(1\/24))\/((p**(-11\/4)\/p)\/p*p))**(14\/11) assuming p is positive.\nAnswer: p**(805\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2 - -4. Suppose -2*n - 18 = y*w, w + 2*n + 24 = -2*w. Let b be w\/(-1) - 6\/(-3). Solve -h - b + 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 20 = 4*n, -u + 28 = -5*n. Let y be u + -6 + 1 + 6. Suppose y = 4*s - 15. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that 2\/5*g - 2\/15*g**3 + 4\/15 + 0*g**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 17911 or 17909?\nAnswer: 17911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k*k*k**(1\/7)))\/k)\/(k**(-11)*k)*k**(-3\/8)*k*(k\/(k\/(k**(1\/10)\/k*k)))\/k*k*k assuming k is positive.\nAnswer: k**(2683\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be (18\/4)\/((-14)\/(-28))*(-180)\/(-108). Solve -4*z - 3*k = -q, k - 7 = -z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -136*j + 169*j - 231 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 2*f = v + 274, -2*f - 819 = 3*v. Let u = -6 - v. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2360 - -2828. Calculate the lowest common multiple of 432 and x.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.8 - -1. Let u = -0.2 - -0.7. Let l = 13647\/5 + -2730. Which is the closest to p? (a) l (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 213712 + -213711.99912031. What is l rounded to 5 decimal places?\nAnswer: 0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (11\/(-22))\/1*(1 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Total of 0 and -4198023861.\nAnswer: -4198023861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 14 (base 6) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -114\/7081051?\nAnswer: -114\/7081051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find k such that -2*k**5 + 112*k**4 - 1518*k**3 + 7848*k**2 - 14040*k = 0.\nAnswer: 0, 5, 6, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be (17 - 4) + (-3)\/3. Find the third derivative of 44*b**2 + y*b**3 - 15*b**2 - 38*b**3 wrt b.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*k + 1182 - 759 = 12*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*w**2 - 2649*w + 2652.\nAnswer: -3*(w - 1)*(w + 884)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 266108373 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vuygurbvrbgrguvv. What is prob of sequence yg?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -4*x. Let d(o) = 13*o**2. Determine d(z(t)).\nAnswer: 208*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 118*d - 100*d - 54 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 7*g**2. Let p(t) = -372*t - 2. Calculate j(p(f)).\nAnswer: 968688*f**2 + 10416*f + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-14)\/21*(-1 - -25). Calculate the common denominator of (188\/l - 0) + 4 and (11\/3 - (-30)\/(-75))\/(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -164121*y**2 + 140*y - 1300. Let q be x(10). What is q rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 76.0188cm in meters?\nAnswer: 0.760188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -14861*j**2 + 33845*j?\nAnswer: -29722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*m**2*w**3*y**4 + 5*m**2*w**2 + 2*w**3*y**2 - 24*w**3*y + 8*y**5 wrt y.\nAnswer: -72*m**2*w**3*y + 480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (58\/5)\/((-8*6\/160)\/(27\/18)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = -5*q - 15818 - 3945, -3*o = 2*q - 29692. Suppose -3*w = -54*w + o. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + (-2 - (1 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -10 + 13. Suppose -73 = -n*a - 2*a - 2*d, -4 = 4*d. What are the prime factors of 2\/(-2)*(1 - a)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 3*z + 8. Let n be v(0). Let f be n\/(-2) - (-7 + 13 + -11). Let k(a) = a**2 - a. Give k(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*l**3 + 2*l**3 - l**3 + 0*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d**5 + 19*d**4 + 97*d**3 + 61*d**2 - 98*d - 80 = 0. Calculate d.\nAnswer: -10, -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/198*11*(-57)\/((-1311)\/(-1840))?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 26? (a) -1 (b) -2\/11 (c) 0 (d) 15 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(-8))**(15\/4) assuming p is positive.\nAnswer: p**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the third derivative of -b**7\/140 - b**4\/6 - 8*b**2. Let a(j) be the second derivative of v(j). Let s(f) = -2*f. Determine s(a(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 24 = 4*j + 3*w, 0 = 4*j - 4*w - 8. Let n(g) = 3*g**2 + 2*g. Calculate the least common multiple of 12 and n(j).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -55.8 + 56. Which is the nearest to -2? (a) -3 (b) 2\/33 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 - (624\/9)\/13.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 75*q - 32. Give r(3).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**3 + 2*g**2 + 3*g - 2. Suppose -4*i + 51 = 3*f, -f - 2*f = 5*i - 60. Suppose 4*h - i*h + 30 = 4*r, -h = -2*r + 8. Determine q(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*k - 3*q - 120, 6*q - 10*q + 0*q - 41 = -k for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vql when three letters picked without replacement from {l: 1, u: 2, q: 1, v: 1, b: 1, d: 2}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 881281327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2\/3)\/(12\/8676) + -4. Let a be (-120)\/40 + 715*2\/m. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 241 - 16. Let j = o + -41. Suppose -2*h + 6*h - 4*b - 332 = 0, 5*h + j*b - 370 = 0. List the prime factors of h.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8345083 minutes to microseconds.\nAnswer: 50070498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - 1) + 14 + -16 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 27413441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*r + 4*f + 15960068, 3*r + 3*f - 4295230 = 7674809. Suppose -5*s = -t + r, 3*s - 6*s + 15959991 = 4*t. What is t rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1 - 5)\/((-372)\/(-558))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 20 = 0, -3*q + c + 1 + 6 = 0. Let 8 + q*s**2 + 8*s**2 - 29*s**3 - 7*s**3 + 20*s**3 + 36*s = 0. What is s?\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 16\/(-6)*(-3)\/4. Calculate the remainder when -39*(4\/(-2))\/u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3548 - 939. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 16\/39 in 0, 4\/9, -1\/256, -1\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0\/(-3) + (-1 - -18) + -3. Suppose 2*r - 249 = 2*s + 9, -2*r - 2*s + 246 = 0. What is the highest common factor of r and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3868241459?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 9 + 2 - 11 - 5*a**2. Let q(k) = -k**2 + 2*k**2 + 0*k**2. Determine q(b(s)).\nAnswer: 25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-53)\/2)\/((-77)\/(-14) + -6). Suppose -l = 5*d + 145, 34 = -3*d - 3*l - f. Let o = -0.043 - -0.043. Are d and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -51\/2 + 27. Suppose 2*i - 285 = -273. What is the third smallest value in i, -1\/12, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 33*i**3 + i**2 - i. List the prime factors of g(1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2002000112 (base 4) to base 3.\nAnswer: 1000001110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -203874.2097 rounded to the nearest one hundred?\nAnswer: -203900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by 1466.\nAnswer: 3\/1466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 2, d: 1, x: 2, h: 1, m: 3}. What is prob of sequence xix?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 2*f**2 - 134*f - 46. Let q(x) = -18*x - 3. Let s(j) = 6*q(j) - w(j). Give s(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21 = -2*v + 49. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -a**2 - 3*a - 14. Let b be r(-6). Let o = b + 36. Solve 7*m - o*u = 2*m - 17, 0 = 3*m - u + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 82 + -54. Suppose -g = -3*g + i. What is the remainder when 55 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 2552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 381 less than -54935?\nAnswer: -55316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 285266, 285270, 285274, 285278, 285282, 285286?\n\"Answer: 4*v + 285262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 103 - -32. Let f(q) = -4*q - 22. Let l be f(-28). What is the highest common factor of u and l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -62*h + 100. Let j(c) = -21*c + 33. Give -7*j(p) + 2*x(p).\nAnswer: 23*p - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that 2*d**2\/7 - 1127248*d\/7 + 158836006688\/7 = 0.\nAnswer: 281812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8352 - 8171. Calculate the remainder when a is divided by 84.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 771191 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13661453.\nAnswer: 13, 229, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 81 = -45*h + 37 - 181 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -3.17468 * -3.1.\nAnswer: 9.841508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9427006*x**3 - 18853733*x**3 + 9427266*x**3.\nAnswer: 539*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 23*a**3*c*f**3*j**2 + 6*a**3*f**2 + 4*a**2*f*j + c*f**3*j - 2*c*f**3 - 17*c*f*j**2 wrt j?\nAnswer: 46*a**3*c*f**3 - 34*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d - 9 - 1 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*i**2 - 2*i**2 - 3*i**2)*(-4 + 3 + 3)*(2 + 2 + 8).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 17838*i - 17851*i + 129 = 4*s, 4*i = s - 6*s + 100 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -3*k**3 - 2*k**2 - k - 3. Let r(m) = -m**3 - 2*m**2 + 8*m + 4. Let w be r(-4). Let x be 2\/(6 - w) - 0. Let n(b) = b + 1. Determine x*j(a) + n(a).\nAnswer: -3*a**3 - 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -103*r**3 - 3*r**2 - 264 wrt r?\nAnswer: -309*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = -b + 81. Suppose 0 = -4*c + 13 + b. What is the greatest common factor of c and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1\/78 (b) 7\/2 (c) -4 (d) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = j**2 - 1. Let h be p(-3). Suppose 0 = -4*i + 16, 3*i + 2 = -n + 4*i. Suppose 5*t + 0*x = 3*x + 20, n*t - h = -x. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000124275717 to seven decimal places.\nAnswer: -0.0001243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -7899388 by -282121.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -39\/10 and -101\/554.\nAnswer: 2770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = 19 - 9. Suppose 4*a - 4 = 0, -2*l - l = 5*a + w. List the prime factors of ((-12)\/15)\/(2\/l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -220 + -0.0849.\nAnswer: -220.0849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-120)\/(-21) - 4\/(-14). Suppose -4*u - 2*q = -y*u - 8, 8 = u + 5*q. Let g be (-4)\/(-1 - u)*-1. Solve 5 = 5*a, -g*s - 8 = 2*a - 6*a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -21*a. Let j(v) = 3*v. Let m be 2*15\/10 - -1. Suppose -2 = -q + m*k + 10, 2*k = 2*q - 12. Suppose q + 6 = 5*y. What is y*b(u) + 15*j(u)?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 8*w - 39. Solve -2 - 3 = w*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3890534?\nAnswer: 2, 1129, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 747052 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r**2 + 500*r + 4581. Let q be s(-9). Is -47\/116 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11789 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5\/8 in -2\/351, 1\/3, -33, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9)\/(-4))\/(26\/52)*(-50)\/75.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = o**3 - 157*o**2 - 253*o - 10307. Determine l(159).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1615 + 3?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = d + 3*d - 816. Let f be 2\/6*(d + -3). Let v = f - 39. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(-1\/8)\/a*a\/(a**(-2\/15)\/a*a*a))\/(a**(1\/2))**(-15\/2))**(29\/5) assuming a is positive.\nAnswer: a**(9599\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the second derivative of r**5\/20 + r**4\/12 + r**3\/6 + 23*r**2\/2 + 10*r. What is the remainder when f(0) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = g**3 + 19*g**2 - 426*g - 166. Calculate c(-32).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -3 - 8 + 6*f + 13 + (4*f + 2*f - 7*f)*(2 - 6 + 2) + 27*f + 4*f + 1 - 3 as c*f + t and give c.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 44 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1229 or 1619?\nAnswer: -1229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -h**4 - 1. Let z = -143 - -144. Let j(c) = 3*c**5 - 32*c**4 + 90*c**3 - 120*c**2 + 75*c - 20. Let w(b) = z*j(b) - 2*t(b). Factor w(f).\nAnswer: 3*(f - 6)*(f - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2bc - 186?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 469607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 + 1 + 2)*(-u + u - 5*u + 0 + 2*u + 0 + (-4*u + 4*u - 3*u)*(0 + 1 - 3) + 5*u - 3*u + 0*u)*(3*u + u - u) in the form n*u + r + m*u**2 and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -943 (base 16) in base 11?\nAnswer: -1866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4.999994 - 5. Let j = z + 0. What is j rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 265\/2 - 923\/7. Which is bigger: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((sqrt(20)*-1)\/sqrt(10))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 144075, 576310, 1296693, 2305218, 3601879, 5186670, 7059585, 9220618?\nAnswer: 11669763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 3198*m**2 - 13. Let x(f) = 533*f**2 - 2. Let i(p) = 6*t(p) - 39*x(p). Let v(l) = -2*l**2. What is v(i(k))?\nAnswer: -5113602*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -167*i**3 + 52*i**3 + 51*i**3 + 52*i**3.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 735362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -61405 - 3?\nAnswer: -61410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -5172*p + 2558?\nAnswer: -5172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11033722.18838 + 11033583. Let v = t + 139.2. What is v rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -2 + 13\/7 + 0. Let d = -666 - -665. Which is the closest to d? (a) 2\/3 (b) 0.03 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (-6)\/8*(-16)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -77745 and 2?\nAnswer: -155490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be 20\/(-3 - (-20)\/8). Let b be (150\/(-40))\/((-2)\/p). Let t be (1 + 0)*(b + 1). What is t rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 27\/((-11664)\/24)*35\/(-140)?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-2)\/8*-213)\/(-19 + (-305240)\/(-16064))?\nAnswer: 2, 71, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 285, 617, 949, 1281, 1613?\n\"Answer: 332*h - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -22, -2, 286\/5, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4 - 1467175521?\nAnswer: -1467175515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (301\/(-42) - -7)*-3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 345272, 690545, 1035818, 1381091, 1726364, 2071637?\n\"Answer: 345273*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 574066*p + 605032.\nAnswer: 574066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 56553860 and 2360.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 17\/90 and 127\/79740.\nAnswer: 79740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 587 - 157300*t + 2535 + 157302*t to the form d + a*t and give d.\nAnswer: 3122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 36\/(18\/63*-7)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 625345 is divided by 550?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/14)\/(((-8)\/14)\/1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 42*n - 88*n + 2*n**2 + 46*n. Suppose -2*q - 2*c = 3*q - 15, 2*c = -10. Let k(p) = q*p + p - 4*p. What is k(a(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 2, -2, -569 in descending order.\nAnswer: 2, -2, -5, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -87\/25 (b) 1\/7 (c) -5 (d) 2\/5 (e) -12852\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 34511 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: Collect the terms in 196*n**2 - 32*n**3 + 230*n**2 - 426*n**2.\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -11011010011 (base 2) in base 13?\nAnswer: -a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -451*k - 1527*k - 757*k - 1358*k - 308*k to the form q*k + t and give q.\nAnswer: -4401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence did when three letters picked without replacement from icccedcdddcb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = d - 5*o + 21, -3*o = -3*d - 9. Solve -d*r = 3*x + 3, -5*x + 8 + 6 = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 55*q + 116*q**2 + 83*q - 138*q.\nAnswer: 116*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 5*y**2 - 4*y + 4. Let o(d) = d**3 + d**2 - 25*d + 20. Let b be o(-5). Let q(t) = 55*t**2 - 45*t + 45. Calculate b*p(a) - 4*q(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -28859 - -29025. Let s = 36 - 15. What is the remainder when v is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + 3*(-2)\/12\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3 and 543.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r and 1 p when three letters picked without replacement from {n: 1, p: 1, r: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 72*i = 75*i + 994, -4*z - 3*i = -4006. Calculate the greatest common factor of z and 3375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -32298912 divided by -4398?\nAnswer: 7344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 3 n when four letters picked without replacement from {n: 3, e: 13}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 0.4 * -11060893\nAnswer: -4424357.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let 3*y**3 + 8949*y**2 + 204168*y - 213120 = 0. Calculate y.\nAnswer: -2960, -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 4 + 32 = 0. Let g be (-6)\/4 + 3\/(-6). Calculate the remainder when g + (-20)\/(-5) - (-33 - 0) is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -156 = 4*i - 160 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 12*a - 1. Let q(s) = 36*s - 4. Let c(k) = -14*f(k) + 5*q(k). Find the first derivative of c(o) wrt o.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*d + d + 2*k + 3, -3*d - 5*k - 23 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 458945926.\nAnswer: 2, 149, 1540087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve l + 5*q = 25, 0 = -5*l - q + 13 + 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 224*p**2 - 2*p + 3. Let r be z(1). Suppose -125 = -a - 4*a. What is the greatest common factor of r and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3463 (base 16) to base 15.\nAnswer: 3e91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -1, 0, 1, -244, 10 in descending order.\nAnswer: 10, 4, 1, 0, -1, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 2*z - 2186589 = 0, 0 = -2*q + z + 176609 + 1281131. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.33919 - 0.06081. Let v = -93\/7 - -13. What is the nearest to -2 in -0.1, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 6*(-1)\/(0 + -21). Which is the closest to -1? (a) -3 (b) p (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 862 - 469. List the prime factors of a.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve p = 2*z - 105, 5*z - 5*p = -181727 + 181982 for z.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 2*u - 35 = 2*l, 3*l = -3*u - 39. What is the common denominator of 7\/2 and (-10 - -9) + (-12)\/u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pqpppppqppqppgppgqq. What is prob of picking 1 p, 1 g, and 1 q?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 0.0001, 3\/7, 3\/2, -2\/21 in increasing order.\nAnswer: -2\/21, 0.0001, 3\/7, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 0.2106953 decades?\nAnswer: 2.106953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 2*b**2. Suppose 28 = 3*g + g. Let d(j) = -6*j - 7. Let s(n) = -3*n - 3. Let z(h) = g*s(h) - 3*d(h). Give z(v(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*w + 3*m + 18, -3*m = 2*w - 4 - 20. Let f(z) = z**3 - 7*z**2 + 7*z. Determine f(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = a**2 - 40. Let j be c(-7). Let f(n) = n**2 - 4*n - 39. Let y be f(j). Solve -19 + 7 = y*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(171)\/sqrt(36)*1.\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 118595000827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4470963 is divided by 1490319.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b**2 + 0*b + 0*b)*(-5*b + 3*b + 4*b) + 14*b**2 - 14*b**2 + 5*b**3 + 3*b**3 - 4*b**3 + 2*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/2? (a) -1\/18 (b) 2 (c) -2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -7232*l + 250523 + 496958 = -290691 + 184796 for l.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2, 3\/5, -181.7, 0, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c be 32\/2*1\/6*(-12567)\/(-284). What is the highest common factor of 21063 and c?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from cuzkb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 41562*r**4 - r**2 - r + 8579 wrt r.\nAnswer: 498744*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 837, 2759, 5963, 10449?\nAnswer: 16217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-5)\/2)\/((-2)\/76). Suppose -l = -3*w - 5*k, k = 6*k - 5. Suppose -5*q = -5*m - 75, -4*m + w = 2*q + 3*q. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 19 and 200028827.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that k**2\/3 + 118*k + 353\/3 = 0.\nAnswer: -353, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 59252 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v**3 - 100488*v**2 - 9673392*v - 37085568 = 0 for v.\nAnswer: -92, -4, 33592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o, 1 d, and 1 s when three letters picked without replacement from vhvvdvhsovhsvhshsvvh.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 243*b**2 - 490*b**2 + 247*b**2 + b**3 + 9*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -241\/1470 - -3\/98. Which is the closest to 44? (a) 2 (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 90061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1848 and 861840.\nAnswer: 9480240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = 24 + -12. Suppose m = 3*f - 0*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 9*d + 126 = 0. Let a be (-3 + (-20)\/(-3))*d. What is the highest common divisor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange k + 2*k - 8*k to n + j*k and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -5*d + 3. Let w(g) = -19*g + 12. Let c(z) = -22*t(z) + 6*w(z). Let y be c(-9). Calculate the greatest common divisor of 28 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 15\/7, -383\/4, 73\/3, -1 in ascending order.\nAnswer: -383\/4, -1, 15\/7, 73\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -181918850 divided by 373550.\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -2*z**2 - 14*z - 6. Determine u(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 16301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in -61, -2\/19, 0.3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*b - 4005 = -18*b - 2211. Let c(o) = o**3 - 39*o**2 - 4*o + 160. Determine c(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 5*m = -100, 2*s = -m - 31 + 76. Suppose 50 = w + 4*p, -9*p = -4*p + s. Let d = 0 + w. Round d to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -10.4 and -1901.\nAnswer: 19770.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/5, 0.054, 0.4 in descending order.\nAnswer: 3\/5, 0.4, 0.054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o - 4*y + 381 = 377, -5*y = -4*o + 26 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Are 6954 and 6955 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6221287*n - 141 - 6221287*n - n**2 to the form b + q*n + k*n**2 and give b.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2972 - -3698. What is the smallest common multiple of f and 528?\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-13 + 6 - -6)*-43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 16 + 428a14?\nAnswer: 428a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ojjx when four letters picked without replacement from oojxoojoxoo.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00692126 rounded to 4 decimal places?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 1800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(-4)*1252\/2191*(-938)\/(-8).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5 - 8. Let d = 207 - 205.91. Let g = d + -0.99. What is the second smallest value in i, 2\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10736107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 3 - 4)*(482*h**2 - 5 + 170*h**2 + 4 - 219*h**2).\nAnswer: -1299*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 285007 times -32.71?\nAnswer: -9322578.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 6 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 22\/719, -2\/7, 0, -6.2 in decreasing order.\nAnswer: 22\/719, 0, -2\/7, -6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = -109 - -104. Which is the closest to 0.3? (a) 2\/5 (b) i (c) 1 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -10.162 in -0.01, -11, 0.1, -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 1, y: 2, p: 2, a: 2, k: 1, g: 1}. What is prob of sequence ak?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -47 in 76, -0.1, -2, -0.03, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 38827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s**2 + 3*s**2 - 5*s**2)*((s + 2*s - 2*s)*(s - 4 + 4) - 3*s**2 - 11 + 11 + 2 - 2 - s**2).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000215809 rounded to seven dps?\nAnswer: 0.0000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-8)\/(-92) - 16\/184. Let r = -1\/215 - -1514\/1935. Does r = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = 3*c + c + 32, 3*p = -3*c - 3. Solve -16 = -p*a - 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*l**3\/3 + 820*l**2 - 8222*l\/3 + 716 = 0. Calculate l.\nAnswer: -179, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-162)\/(-48) + 4\/3*(-15)\/(-160).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 30, -4, 46, -3, -24 in increasing order.\nAnswer: -24, -4, -3, 4, 30, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, z: 2, f: 1, u: 1, o: 2}. What is prob of picking 1 z and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.0517 + 48.2517. Let y = -72.3 + c. Let o = y - -27.33. What is o rounded to one dp?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f - 32 = 4*f + z, 0 = -f - 4*z + 25. Suppose -j = 5*g, 3*g + 8*j + f = 4*j. What is the biggest value in -0.3, 2\/11, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4084117 rounded to 2 decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -13117 (base 10) to base 9.\nAnswer: -18884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/10 of a kilogram in grams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -106*s + 683*s**2 + 180*s - 682*s**2.\nAnswer: s**2 + 74*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -6496570, -6496572, -6496574, -6496576, -6496578, -6496580?\n\"Answer: -2*q - 6496568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 3*l = -3*v + 448, -5*v - 20 = 0. Is (-6)\/(3 + 0) + l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 20 in 93, -0.04, -0.4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-42 + 109 - 69 + 32*p)*(-1 + 0*p + 0*p + p).\nAnswer: 32*p**2 - 34*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -7*x + 4*s - 19, 0 = -4*x + 3*s - 15. Suppose -6 = 3*k - 21. Sort k, 3, x in increasing order.\nAnswer: x, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -649*z + 34. What is the hundreds digit of t(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -7051, -18363, -33923, -53731, -77787?\n\"Answer: -2124*x**2 - 4940*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 20945*w = 20996*w + 117 + 852 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -10205*m**3 + 6309*m**3 + 5605*m**3 + 911*m + 4259*m wrt m.\nAnswer: 10254*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2089870?\nAnswer: 2, 5, 103, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 14 = 3*f. Let l(w) = -3 + w + 0 - f*w. Calculate the remainder when l(-5) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -x**4 + 3*x**3 + 3*x**2 - 7*x - 6 = 0. What is x?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22651726 is divided by 22651705.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1243 take away -354534?\nAnswer: 355777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -23116, -46232, -69348, -92464?\n\"Answer: -23116*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2044380 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the first derivative of -17*x**2\/2 + 1. Let v(c) = 3900 - 3900 - c - 3*c + 6*c. Determine v(t(m)).\nAnswer: -34*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-40)\/840*14\/(-4)*2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the second derivative of -16*k**7\/21 - 31*k**3\/6 + 36*k. What is the second derivative of j(m) wrt m?\nAnswer: -640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -498a6 (base 12) in base 5?\nAnswer: -11143044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 38\/95*(-6)\/(-4)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -76*u*w**3 - 3*w**3 + 40*w wrt u.\nAnswer: -76*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-14)\/(-10) - (-2)\/(-5). Let u = -11.74 - 0.26. Let g = 11.8 + u. What is the second smallest value in -2\/11, o, g?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -20558 or -102786\/5?\nAnswer: -102786\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 7 - (6 + (7 - 6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -195794196 divided by 2250508\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 34*p**3 + 2*p - 1. What is the units digit of v(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g + 2 = -5*p, 14*g - 4*p + 24 = 18*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -122065 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 - -1010011011110?\nAnswer: 1010011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 50343425 (base 6) in base 2?\nAnswer: 101011100111000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) be the third derivative of -r**8\/12 + 74*r**7\/105 - 73*r**6\/30 + 67*r**5\/15 - 14*r**4\/3 + 8*r**3\/3 - 2*r**2. What is z in v(z) = 0?\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23 - 39 - 487*h + 12 + 6.\nAnswer: -487*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.3205309 micrograms to tonnes.\nAnswer: 0.0000000000003205309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1 >= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 133234133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 444271055.\nAnswer: 5, 43, 1069, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kk when two letters picked without replacement from iyikykyk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that 3*q**2 - 964440*q + 77512042800 = 0.\nAnswer: 160740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7\/12 - -29\/36. Let n be (1\/(-2))\/(5\/(-20)). Let y = 231 + -230.8. What is the nearest to -3 in n, y, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*i**3*n**3*w - 5804*i**3*w**2 - 3*i*n**3*w - 13*i*n - 3*n**2*w**2 + 5*n**2 wrt i?\nAnswer: -12*i*n**3*w - 34824*i*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**6*l*((l\/l**(-1\/3))\/l)\/l)**(-31) assuming l is positive.\nAnswer: l**(-589\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 0.28924 years?\nAnswer: 0.0028924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0 + 2. Let p(w) = -2*w + 12. Let s be p(8). Let y = -11 - s. Put y, m, -1 in increasing order.\nAnswer: y, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*b + 4*b + 3*b)*(-2 + 4 + 0) - 21 + b + 21 + 2*b + 0*b - b in the form z*b + q and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.36 + 9.76. Let m = 420301531 - 420301521.59999785. Let a = m - l. What is a rounded to seven dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from isxcsi. Give prob of picking 2 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 341 minutes before 4:39 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 73532059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 494960?\nAnswer: 2, 5, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -183985, -367971, -551957, -735943?\n\"Answer: -183986*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (193\/1351)\/(2\/196).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31875 is divided by 6373?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 35 - 17. Let u = 21.43 + -0.43. Let y = w - u. What is the closest to 0 in 5, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*x**3 - 69*x**2 + 66*x.\nAnswer: 3*x*(x - 22)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 8065 + -654. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.31 + -374.97.\nAnswer: -375.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(95) - sqrt(95)*3)\/sqrt(5) - (2 + sqrt(19))*-1.\nAnswer: -sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -1869.91 less than -8828?\nAnswer: -6958.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n + 14. Let g be i(-11). Let d**g - 3*d**4 + 8\/3*d**2 + 0 - 4\/3*d = 0. What is d?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -7 + (2 - -2) - (2 - 1568).\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 4, -4\/13, -4 in decreasing order.\nAnswer: 4, 0.4, -4\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(3\/2)*u*u**(-7) assuming u is positive.\nAnswer: u**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1735, -1731, -1727, -1723, -1719, -1715?\nAnswer: -1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*k + 2*k - 34*k + (-2 + 3 + 0)*(3 + 2*k - 3))*(-6 - 4 + 3).\nAnswer: 238*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -4*z. Let f(d) = -24997*d**2. Determine f(a(b)).\nAnswer: -399952*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -100, -934, -3222, -7690, -15064?\nAnswer: -26070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 4d (base 15) to base 9.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 0*c**2 + 9*c**2 - 2*c - 4 - 3*c**2 - c**2. Is 10 a factor of r(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -1\/6 (b) 2\/23 (c) 4 (d) -1.11 (e) 1\/182 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 4776*t = 4817*t + 451 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 5948371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0003243215 rounded to six dps?\nAnswer: -0.000324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -26*y + 21*y - 91, 2*g - 49 = y. What is the remainder when 62 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2157018 and 1222?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.0524 and 1.3?\nAnswer: 1.3524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -16 - -16. Suppose -2*d + 2*m - 1202 = v, -3*m + 107 = -5*d - 2906. Let q = -3677\/6 - d. Find the common denominator of q and 81\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -856.96 + 874. Let k = -17 + w. Is 1\/2 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1011100010101 (base 2) to base 13.\nAnswer: 28c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -40000 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3\/2 or 4528\/447?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 14 = -5. Let r(c) be the second derivative of -2*c**3\/3 - c**2\/2 + 55*c. What is the tens digit of r(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y**2 + y + 14. Let w be c(0). Let i = w + -59. Let d = -24 - i. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17303*q + 69 = 17304*q + 14*l, -3*l + 15 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 15731e (base 15) to base 6.\nAnswer: 34120045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 2, g: 6, w: 3, u: 4}. Give prob of sequence wg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10 - 16. Let o be 5\/(-2) - (-9)\/6. Let f = o - u. Solve 3*c - 1 + 13 = 0, -2*k + f*c + 14 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*w = 9*w - 66. Suppose 18 = c + 21, -c = 3*s - w. Put s, -3, -6, -1\/3 in increasing order.\nAnswer: -6, -3, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(450)\/(sqrt(40)\/(sqrt(4) + sqrt(4)*-2)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 139*q - 98*q = 492 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.3 + 0.2. What is the closest to 0.5 in -4, -5\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that k**4\/6 + 59*k**3\/3 - 119*k**2\/6 = 0.\nAnswer: -119, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 18 + -3 + -173 + 171?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.3 + -7.3. Let q = d + 7.3. What is q rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -512354 + -1?\nAnswer: -512355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = c**3 + 2*c**2 + 2*c - 1. Let y be r(-1). Let n be (36 + -35)\/(y*1\/(-2)). What is the biggest value in -2, 0.5, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 3\/4 (b) -1 (c) -6 (d) 2 (e) 6\/13 (f) -1.4 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1320 and 1012.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8.6? (a) 0.5 (b) -4\/7 (c) -3.8 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 14 and 1006552970.\nAnswer: 7045870790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 492 = -3*o, 2*o + 2*o - 3*j = 685. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10718369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 5366193948?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = -289 + 160. Let q = v - -11480\/89. Let c = q - 84\/445. Are -1 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*f + 20 = -21*f, -5*i + 2340 = 4*f. What is the least common multiple of 3 and i?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p - 8. Let s(i) = i + 9. Let d(w) = -5*s(w) - 6*x(w). Let a be d(-6). Let h = 9 - a. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 14092*b**5 + 4*b**2 + 375*b - 4?\nAnswer: 845520*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 23, 56, 139, 296, 551, 928?\n\"Answer: 4*k**3 + k**2 + 2*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 5*c = -6, 2*w - 7 = -3*c + 8. Let j(g) = -3*g - 1. What is j(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = 142 + 128. Calculate the greatest common divisor of f and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/((-5)\/(-1) + 0). Suppose 5*d - d = 5*o - 37, -5*o = -d - 28. Suppose -2\/5*x**o - 4\/5*x**4 + 0*x + 0 + 0*x**2 - w*x**3 = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from {v: 7, i: 6}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/9? (a) -5 (b) 24067 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3.4 + 3.3. Let l be 1\/(60\/(-8)) + (-5)\/525. Which is the closest to s? (a) -4\/7 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 7*p. Let n(d) be the second derivative of 0 + 0*d**2 + 0*d**3 - 33*d + 1\/6*d**4. Give n(b(w)).\nAnswer: 98*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 6, m: 4}. What is prob of picking 1 x and 1 m?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = h**2 + h - 3. Let p be a(3). Let c(j) be the first derivative of j**3 + j**2 - 2*j + 80. Let r be c(1). Sort p, 5, r in decreasing order.\nAnswer: p, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-8)\/(-140))\/((-3)\/(-5)). Let p be (7870\/15)\/((-2)\/(-3)). Let y = -4721\/6 + p. What is the smallest value in y, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -4, 0.1, 2\/23, 2082, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1319 + 1321. Let g(b) = -b**2 - 7*b + 8. Let c be g(-8). Suppose -t = -2*t + 1, c = -q + 5*t - 4. Solve 4 = u + p*k, 0*u - 3*k = -2*u + q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -h**2 - 11*h + 13. Let l be z(-11). What is the greatest common factor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 871 - -0.06.\nAnswer: 871.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 125 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 - -338?\nAnswer: 33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.042 + -0.042. What is the third smallest value in w, 0.1, -1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*n*v**5 - 2*n*v**2 - 2*v**4 + 2*v**2 wrt v?\nAnswer: -240*n*v**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 273 and 30667?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(4*sqrt(176) + (sqrt(11)*1*2)**2 + sqrt(11)).\nAnswer: 44 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: ((-216)\/(-5))\/(-18)*10\/3*(-1 - 1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 155826310.\nAnswer: 2, 5, 15582631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -10*o. Let k(t) = 11*t. Let u(l) = -7*l. Let s(y) = -5*k(y) - 8*u(y). Let p(x) = x. Let w(j) = -2*p(j) + 5*s(j). Calculate w(c(m)).\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -24*m**2 - 3679?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:12 PM and 1:03 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -146, -226, -444, -872, -1582?\nAnswer: -2646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 694279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*l - 2*l. Let r = l + 3. Calculate the lowest common multiple of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -58449 - 131256.\nAnswer: -189705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 186 a factor of (-140724)\/54*(0 + -1)\/1 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 14*w**3 + 251*w**2 - 3935*w + 368. Give k(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from qvqqqqvqqqqq?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9 + 11. Suppose 214 = 4*w - p, -y*p + 29 = w - 20. List the prime factors of w.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12, -10, -10, -12, -16?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/285 - (-104)\/(-190).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 + (-33 - -59) + -29.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (41 - 6930\/168) + (-1 - 19\/(-28)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 1372, 1241, 1020, 667, 140, -603, -1604?\n\"Answer: -7*z**3 - 3*z**2 - 73*z + 1455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 divided by -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -10*r**2 - 206*r - 61. Calculate f(-20).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 91\/25 + -76\/25. Let k = -19.2 + 22. Let i = k - 2. Which is the third smallest value? (a) 2 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*b - 25 = -48*b - 4*d, -3*b = 5*d + 7 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:51 AM and 3:36 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 149881.\nAnswer: 71, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 54521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**3 + 5*n**2 + 6*n + 6. Let i be j(6). Determine m so that -6 + m**3 + m - 2*m**2 + i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -53780*o**3*w*y - o**2*w*y + 30*o*w*y - 9*o*w - o*y - 4*o + 2*w*y + 2*w wrt o?\nAnswer: -322680*o*w*y - 2*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jd when two letters picked without replacement from ffuddjju?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Are 26\/25 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -34 - 24 - (-81 + 6)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 40 + -39.69. Let u = -3.462 - -3.152004. Let a = u + j. Round a to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*k - 87 + 22 = 376 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1 and 3364369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -6\/376849 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 34296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the second derivative of 2*y**3\/3 - 7*y**2 + 66*y. Let z be b(6). Calculate the highest common divisor of z and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let q = -1.041 - -0.041. Which is the nearest to 1\/3? (a) -5 (b) 2\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = -5*u - 1. Solve -3*l + u*l = 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11 and 15191?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 218 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -58*j + 700. Let i be x(12). Solve 0 = 3*n - i*l - 23, 27 + 2 = 4*n - 5*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 53438, 53447, 53464, 53495, 53546, 53623, 53732, 53879?\n\"Answer: z**3 - 2*z**2 + 8*z + 53431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6368.53 + 341.33. Round p to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18595087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11 + 6 + 12763*x + 20 - 37.\nAnswer: 12763*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = -15 + 7. Let o = 2 - f. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -22 = -3*p - 5*d, -p + 5503 - 5507 = -4*d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -4*y**2 - 14. Let a(r) = r**2 + 1. Calculate -6*a(j) - f(j).\nAnswer: -2*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 * 1655.\nAnswer: -8275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -10915, -10923, -10953, -11017, -11127, -11295, -11533, -11853?\n\"Answer: -2*s**3 + s**2 + 3*s - 10917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-3\/5)\/m)\/(((m**7\/m)\/m*m)\/m)*(m**(-1))**50)\/((m**(6\/5)*m\/(m*m**(-6\/7)))\/((((m*m\/(m\/(m*m**(-3)\/m)))\/m)\/m)\/m**0)) assuming m is positive.\nAnswer: m**(-2193\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 2*i - 5*k + 20 = 0, -3*i - k - 8 = 0. Suppose 0 = o - 1 - 1. Let z be 140\/(-34) + o - -2. Sort 5, z, i.\nAnswer: i, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -395193.58 + 0.0009.\nAnswer: -395193.5791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify s*(s\/(s**5\/s))\/s*s**(6\/7)*(s**(-1))**29 assuming s is positive.\nAnswer: s**(-218\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*h + j + 657, -86 = -h - 4*j + 133. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(60)\/(sqrt(12)*-1) + 0.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -203*g = -167*g - 115956. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 19620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o be 10 - 7 - 1*-1. Let c be (-3)\/o + 29\/28. Sort c, 3, 0.2 in descending order.\nAnswer: 3, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 516081 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1003577 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**0\/((t*t\/t**(-2\/3)*t)\/t))\/(t\/(t**(2\/9)\/t))**(1\/44))**4 assuming t is positive.\nAnswer: t**(-1072\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(660) + -1*sqrt(660) + sqrt(660))\/sqrt(12))\/(sqrt(135)\/sqrt(3)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o - 6*o + 11*c + 39 = 0, 2*c + 16 = -2*o + 3*o - 0*c for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let -8\/17*v + 0 + 6\/17*v**3 - 8\/17*v**2 = 0. What is v?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -364.4418 + 0.1\nAnswer: -364.3418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -r**5\/5 - 7*r**4\/5 - 3*r**3 - 9*r**2\/5.\nAnswer: -r**2*(r + 1)*(r + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Total of -54792347125.9 and -0.11.\nAnswer: -54792347126.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 231\nAnswer: -1\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 13222 + -10311230122?\nAnswer: -10311210300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b be 5 - (3 + -3 - -2). Suppose 0 = -b*r - 4*x + 4812, -10 - 2 = -4*x. Round r to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + 9 + (2 - 15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = a**3 - 4. Let r be p(2). Suppose 0 = 3*w - 46 + 37. Sort w, 6, 10, r in decreasing order.\nAnswer: 10, 6, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**3 + r - 4. Let n be m(0). Let h be (-356082)\/42012 + n\/18. Let s = h + -4\/1945. Calculate the common denominator of -26\/9 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3, 110, 399, 960, 1883?\nAnswer: 3258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 46254.\nAnswer: 2, 3, 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2062843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 42 - 8*u**2 + 9*u**2 - 5*u - 4*u**4 + 6*u**2 - 42 to g*u + n*u**3 + b + o*u**2 + r*u**4 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 216841.\nAnswer: 216841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7339 - -8491. Does 144 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22085636?\nAnswer: 2, 83, 66523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2040844?\nAnswer: 2, 13, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*b - 5*b + 5. Suppose 1 = -4*m + b. Let a = m - 3. Sort -4, 9, a in descending order.\nAnswer: 9, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1980 greater than or equal to 495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-1\/10)\/(n\/(n**6\/n*n)))\/(n*n\/(n**4\/n)*n*n*n**(-7)*n) assuming n is positive.\nAnswer: n**(99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + (1 - 8) + 1 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 146405 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -33381114668\/4773 - -13987457\/2. Let x = 4\/1591 + p. Calculate the common denominator of x and 31\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -4. Let h(m) = -38*m + 7. Let u(s) = -h(s) - 2*k(s). Let g(b) = -3*b. Give u(g(j)).\nAnswer: -114*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -125 - -143. Suppose -4*i - 9 = -i, 0 = 3*l - 3*i - c. Calculate the remainder when 14 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -290.527 + 302.87. Let q = d - 12.4. Let f = q - -0.0688. Round f to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 106, 97, 80, 55, 22, -19, -68?\n\"Answer: -4*x**2 + 3*x + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -z + 0*z - 114*z**2 - 2 + 2*z**3 + 2*z**4 + 116*z**2 + z**3 as u*z**4 + g*z + o*z**2 + r*z**3 + i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1345.70218 - 1349.70218012. Let x = 4 + w. Round x to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 112 (b) -42 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-11))**(31\/3) assuming o is positive.\nAnswer: o**(-341\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*-5*(sqrt(176) + 2)*-4)**2.\nAnswer: 57600*sqrt(11) + 648000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.0567*-937941\nAnswer: 53181.2547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mw when two letters picked without replacement from {w: 2, m: 1, a: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(1*sqrt(33)*-2)\/((sqrt(30)*1)\/sqrt(10)) - (((-6*sqrt(132)*1)\/sqrt(12))**2 + sqrt(396) + sqrt(396) + 4*(sqrt(396) + 1)**2).\nAnswer: -1984 - 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of (171\/(-6))\/((-3)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 + 562328?\nAnswer: 562334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 12 = 2. Let g = 5 + c. Let b(h) = 2*h - 6. What is the least common multiple of b(5) and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 17*l - 10*l + 1 + 30*l + 2. Is v(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -98579609*b**4 + 1489*b - 2949 wrt b.\nAnswer: -1182955308*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 7*o - 0. Suppose 5*n + g - 25 = 0, 0 = -0*g - 2*g. Suppose -20 = z - n*z. What is the lowest common multiple of o and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8 - -2. What is the remainder when (-24)\/5*k\/(-2) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y + 1. Let r be g(-3). Suppose -3*f + 1 = 2*i - 1, i - 6 = -r*f. What is the second derivative of -3*x + f*x + 2*x - 2*x**2 wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2436 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 7481009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 24394 + -24395. Put 8, 44, x in decreasing order.\nAnswer: 44, 8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 3921666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (7\/3)\/(25\/2550*-17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l + 7. Calculate x(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 57*n**3 + 55*n**3 + 50*n**3 - 166*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the first derivative of 1\/2*p**4 + 0*p - 3 - 52\/3*p**3 + 0*p**2 - 52\/5*p**5. What is the third derivative of r(z) wrt z?\nAnswer: -1248*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1793 is divided by 90?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 123812 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -52055696250 to the nearest one million.\nAnswer: -52056000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2, -24, -84, -190, -354?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8843 is divided by 201?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18\/(-8))\/(1404\/(-1200) + 18\/(-225)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -18178, -2.21, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 5\/8 of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/5, 3, 1, -113380 in descending order.\nAnswer: 3, 1, 3\/5, -113380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -22 >= 91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**2. Let t = 223 - 226. Let o(b) = -2*b**2 + 2. Calculate t*h(u) - o(u).\nAnswer: 5*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -n, -t - 4*t + 180 = 5*n. Suppose -9 + t = 2*v + 4*i, -5*i = 2*v - 31. Suppose -v*f - 5 = -2*d - 2*f, -3*f = 3*d - 21. Solve -d*o - o = -10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -4, 202041\/8, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 34 + 22 = 0. Solve 3*j - 3 = -3*w, -k*w + 1 = -3*j - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 3*a + 33 = 0, -5*w + 16*a - 12*a = -53. Solve 3*z - 5*q + w*q = 11, 4*q - 29 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*l + 6 = -71. Let h be (-27)\/(-6)*(-22)\/(-3). Calculate the highest common divisor of l and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 395 - 40. Suppose s = -c + 3*c + f, -5*s + 5*c = -1765. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*a - 2*a = 104. Let g = -15 + a. Suppose -2*y = -g + 3. What is the closest to 1\/3 in y, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = -2*b + 4, -3*b + 12 = -5*f + 4. Let w be -1 - b - (-4)\/((-4)\/(-3)). Let v(i) = -7*i**3 - 2*i**2 + 1. What is v(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-3)\/(-12))\/((-9)\/(-2844)). Solve 0 = -y*b + 82*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -668 = -111*i + 11*i + 1432 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 91\/2 of a decade?\nAnswer: 455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.09512 rounded to 3 dps?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -5657, 5, -5, -16, 2, 1 in decreasing order.\nAnswer: 5, 2, 1, -5, -16, -5657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1137 is divided by 151.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 4*l**3 - 8*l - 8. Suppose 0 = 22*w - 7 - 15. Let d(p) = 0*p + 2 + 1 + p - 5 - p**3 + 3. Give w*a(x) + 8*d(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -p**2 + 25*p - 148. What is k(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k be (6\/(-4))\/((-6)\/338). Let r = k - 86. Let o = -0.2 - -0.5. Sort r, o, 1 in decreasing order.\nAnswer: 1, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1048*b - 898*b + 2170*b.\nAnswer: 224*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(110) - (sqrt(110) + sqrt(110)*2*-5) - sqrt(110))\/((sqrt(120)*1)\/sqrt(12)) + 3)*-6.\nAnswer: -54*sqrt(11) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2 + 3 - (-1 + -1). Let k(d) = 3*d + h*d - 5*d. Let a(n) = -n**2 - 4*n - 4. Let x(v) = -3*v - 3. Let s(p) = 3*a(p) - 4*x(p). What is k(s(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 56, -4, -3 in ascending order.\nAnswer: -4, -3, -2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 2*a**2 - 5*a. Let m be x(4). Let f be -4*((-39123)\/m)\/(-9). Let w = 184021\/127 + f. Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.03 - 551894613853\nAnswer: -551894613852.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 0*p = -2. Let k(m) = -4*m - 2. Let i be k(p). What is the units digit of (8\/10)\/((-2)\/i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 23 - 22.6. What is the biggest value in 1\/9, -5, f, -26?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2 + -12303000213231?\nAnswer: -12303000213223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 13*c - 13. What is the hundreds digit of q(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.069 or -2\/15?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/8 - (-34)\/(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from jjii?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -398 = -10*p - 178. Solve -3*a = -2*a - 5*n, -p = -4*a - 2*n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/11432432 and 29\/2273495.\nAnswer: 400135120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*i - 568 = -43. What is the greatest common factor of 14 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -7.2143 * 0.038\nAnswer: -0.2741434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + -4 + sqrt(147)*1 + -3 + ((-1 + sqrt(147) + sqrt(147))*1 - sqrt(147)))*6)**2.\nAnswer: -8064*sqrt(3) + 23472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Let p = 2 + 0. Suppose 4*d = -4*g + 6 - p, -2*g + 4 = 3*d. Let j be (-1 + 21\/15)*5. Solve j*v + d*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -4*k - 4. Let g be t(-3). Let c be 15\/4 - (-2)\/g. Suppose c*d + d = 150. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1\/9, 6, -0.81, 5, -3, -2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -3*v - 2*v + 2*v**2 + 9*v - 4*v. Let u(i) = -43*i + 52 + 20*i - 53 - 35*i. Calculate c(u(z)).\nAnswer: 6728*z**2 + 232*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 16 = 6*i. Let p(s) = -s**2 + 2. Let b be p(-5). Let t = i - b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26967.691 rounded to the nearest 10?\nAnswer: 26970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 134 divide 2610755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -763, -3117, -7061, -12595, -19719, -28433?\nAnswer: -38737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 78? (a) 3 (b) 0.5 (c) -2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 32 - 19. Calculate the smallest common multiple of 18 and 2\/(-2) + -2 + w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 37385\/20178?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/5, -4, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*f + 4*f + 30 = 3*m, -2*f - 9 = -3*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*a**5\/6 + 1837255*a**4\/6 - 367225*a**3\/6 - 5511765*a**2\/2 + 551175*a = 0. What is a?\nAnswer: -3, 0, 1\/5, 3, 73490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 5*q**3 - 77*q**4 + 120 - 21*q**4 - 7*q**3 + 27*q**4 wrt q?\nAnswer: -284*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 74 - 261 = 432*i - 415*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -8 - 224*f + 8*f**2 + 220*f - 4*f**2.\nAnswer: 4*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (4\/5)\/((-2)\/(-5)). Let f(q) = 0*q**2 + 0*q**2 - y*q**2. Let a(z) = 2*z**2. What is a(f(k))?\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor p**3\/2 + 6076*p**2 - 24310*p + 24312.\nAnswer: (p - 2)**2*(p + 12156)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -2*h. Let o(g) = -28344*g. What is n(o(m))?\nAnswer: 56688*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 14450 and 242250.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 48031, 96154, 144461, 193042, 241987, 291386, 341329, 391906?\nAnswer: 443207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 198708 to the power of 1\/2, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 17521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes after 1:51 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -2*r**2 - 12*r - 4. Let n be y(-2). Suppose 0 = -13*l + 10*l + n. Solve 0 = -l*s - 0*s + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 3*i - 3. Let l(c) = 4*c - 4. Suppose 27*u = 30*u + 36. Let m = u + 17. What is m*l(h) - 7*b(h)?\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h**2 + 20*h - 92. Let j be c(-24). Is (-61160)\/(-16) + j\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 124783397?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-46))\/(3\/(-6))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -182*d**4*j + d**4 + 98*d**3*j - d**2*j - 13*d*j + 553*d - 3*j wrt d?\nAnswer: -4368*d*j + 24*d + 588*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4\/(-18) - (7636\/(-18))\/1.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (34\/(-425))\/(-3*2\/90)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4)\/6 - 1\/(-2). What is the nearest to -0.1 in r, -0.4, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3 or 74939\/2?\nAnswer: 74939\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -1010001110100000 (base 2) in base 11?\nAnswer: -29520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3600 in 30, 0, 0.5, -6, 2\/5, -0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 171 = -4*s. Suppose -k + s = 2*k. Calculate the highest common factor of k and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of l**2*t + 25103597*l**2 - 765*l*t + 4343*l + 7 wrt l?\nAnswer: 2*t + 50207194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -168*l**2 - 33*l - 32. Determine m(-1).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.4 + -6.1. Let u = j + 75.7. Let i = u + -72.033. Round i to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 4, e: 10}. Give prob of picking 2 s.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -7, 5780, 2, -11, 1 in increasing order.\nAnswer: -11, -7, -5, 1, 2, 5780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 104 (base 8) to base 13.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.1*71304\nAnswer: 7130.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -13, -24205, 1, -5 in ascending order.\nAnswer: -24205, -13, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, b: 5, m: 2, s: 1, p: 4}. What is prob of picking 1 p and 1 b?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k + 40 = -4*l, 330*l - 17 = 329*l - k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes before 9:10 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 * -75.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 2*x + x + 0*x. Suppose 9*j = 850 + 500. Let p(u) = j - 150 + 3*u. Give p(k(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47 = 3*f - 4. Let m = 30 + 35. What is the remainder when m is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) 14 (b) -3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -25 - -30. Let b be 12\/n + 3 + 60\/(-25). What is the third derivative of 8*s**2 - 4*s**2 + s - s - 19*s**b wrt s?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -103, -206, -311, -418, -527?\n\"Answer: -b**2 - 100*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the first derivative of 16*i**5\/5 - 453*i**4\/5 + 7952*i**3\/15 - 2298*i**2\/5 + 136*i + 374. Solve l(p) = 0 for p.\nAnswer: 1\/4, 2\/5, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5038*s = 5029*s + 36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -0.2994+47\nAnswer: 46.7006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**1*a)**(-1\/13)*(a**(-1\/4))**37*((a**(-1))**(-2\/9))**20 assuming a is positive.\nAnswer: a**(-2321\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 6.3 + 0.03\nAnswer: 6.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {e: 2, j: 1, c: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l and 1 k when three letters picked without replacement from llnk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((150\/(-4))\/5)\/((-6)\/8). Suppose -50 = k*h - 12*h. Suppose -84 = -y + h. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (57\/2)\/(1\/(-2)). Let o = m - -34. Let t = 36 + o. Calculate the remainder when 38 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -33\/80 and (-10668)\/(-1728) + -1 + -7 + 1.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 4 = 0, -4*v + 3 - 7 = 2*u. Let f be (u - -15) + (11 - 9). Suppose 0 = 6*w - 589 + f. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1\/94 - -363\/1222. Factor 2\/13*o**2 - 2\/13*o - f.\nAnswer: 2*(o - 2)*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 245*m**2 - 620*m - 588. Give y(-1).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uua when three letters picked without replacement from {u: 3, d: 1, a: 3, l: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}